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Markowich, Peter Alexander

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Author ID: markowich.peter-alexander Recent zbMATH articles by "Markowich, Peter Alexander"
Published as: Markowich, Peter A.; Markowich, Peter; Markowich, P. A.; Markowich, P.; Markowich, Peter Alexander; Markovich, P.
External Links: MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef
Documents Indexed: 211 Publications since 1980, including 6 Books
Biographic References: 1 Publication
all top 5

Co-Authors

18 single-authored
24 Schmeiser, Christian
22 Sparber, Christof
13 Degond, Pierre
11 Arnold, Anton
11 Burger, Martin
11 Jin, Shi
11 Ringhofer, Christian A.
10 Haskovec, Jan
9 Gasser, Ingenuin
9 Perthame, Benoît
9 Wolfram, Marie-Therese
8 Bao, Weizhu
8 Dolbeault, Jean
8 Hajaiej, Hichem
8 Unterreiter, Andreas
7 Huang, Zhongyi
7 Mauser, Norbert Julius
7 Pietra, Paola
7 Toscani, Giuseppe
6 Caffarelli, Luis Ángel
6 Jüngel, Ansgar
6 Poupaud, Frédéric
6 Renardy, Michael
5 Carrillo de la Plata, José Antonio
5 Cordier, Stéphane
5 Di Francesco, Marco
5 Pietschmann, Jan-Frederik
5 Trabelsi, Saber
5 Wang, Shu
4 Brezzi, Franco
4 Li, Hailiang
4 Lorz, Alexander
4 Paul, Thierry
4 Sierra, Jesús
4 Zubelli, Jorge P.
3 Antonelli, Paolo
3 Ben Abdallah, Naoufel
3 Engl, Heinz W.
3 Fellner, Klemens
3 Klein, Christian
3 Kreusser, Lisa Maria
3 Lederman, Claudia B.
3 Leitão, Antonio
3 Pohl, Carsten
3 Weishäupl, Rada-Maria
2 Alhomedan, Suad
2 Aoki, Kazuo
2 Ascher, Uri M.
2 Athanassoulis, Agisillaos
2 Bardos, Claude Williams
2 Biler, Piotr
2 Brinkman, Daniel
2 Carles, Rémi
2 Chalub, Fabio A. C. C.
2 Chen, Huyuan
2 Düring, Bertram
2 Golse, François
2 Hsiao, Ling
2 Jaksch, Dieter
2 Matevosyan, Norayr
2 Mei, Ming
2 Mielke, Alexander
2 Ölz, Dietmar
2 Pareschi, Lorenzo
2 Schönlieb, Carola-Bibiane
2 Steinrück, Herbert
2 Villani, Cédric
2 Weiss, Richard Mark
2 Zheng, Chunxiong
1 Abdelhedi, Wael
1 Aki, Gonca L.
1 Albi, Giacomo
1 Alhemedan, Suad
1 Artina, Marco
1 Bod’ová, Katarína
1 Bonilla, Luis Lopez
1 Borgna, Juan Pablo
1 Chertock, Alina E.
1 Cho, Yonggeun
1 Chtioui, Hichem
1 Chu, Shun-Yin
1 Ciepliński, Krzysztof
1 de Hoop, Maarten V.
1 Desvillettes, Laurent
1 Dolak-Struss, Yasmin
1 Duan, Renjun
1 Esteban, Maria J.
1 Fall, Mouhamed Moustapha
1 Fang, Di
1 Figalli, Alessio
1 Foransier, Massimo
1 Gabetta, Ester
1 Gangbo, Wilfrid
1 Ge, Yunyi
1 Gerard, Patrick
1 Giga, Yoshikazu
1 Gosse, Laurent
1 Hao, Wu
1 Heitzinger, Clemens
1 Hintermüller, Michael
...and 45 more Co-Authors
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Serials

13 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
9 SIAM Journal on Mathematical Analysis
7 Communications in Mathematical Sciences
6 Archive for Rational Mechanics and Analysis
6 Journal of Computational Physics
6 Monatshefte für Mathematik
5 Journal of Mathematical Physics
5 Journal of Differential Equations
5 Applied Mathematics Letters
5 Communications in Partial Differential Equations
4 Nonlinearity
4 Transport Theory and Statistical Physics
4 SIAM Journal on Numerical Analysis
4 SIAM Journal on Applied Mathematics
4 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
4 Kinetic and Related Models
3 IMA Journal of Applied Mathematics
3 Journal of Statistical Physics
3 Mathematical Methods in the Applied Sciences
3 ZAMP. Zeitschrift für angewandte Mathematik und Physik
3 RAIRO. Modélisation Mathématique et Analyse Numérique
3 Asymptotic Analysis
3 Milan Journal of Mathematics
3 Multiscale Modeling & Simulation
2 Communications on Pure and Applied Mathematics
2 Inverse Problems
2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
2 Mathematics of Computation
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
2 Numerische Mathematik
2 Mathematical and Computer Modelling
2 Comptes Rendus de l’Académie des Sciences. Série I
2 Bollettino della Unione Matemàtica Italiana. Serie VII. B
2 Journal of Nonlinear Science
2 SIAM Journal on Scientific Computing
2 Electronic Journal of Differential Equations (EJDE)
2 Discrete and Continuous Dynamical Systems
2 Discrete and Continuous Dynamical Systems. Series B
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Analysis and Applications (Singapore)
1 Applicable Analysis
1 Computers & Mathematics with Applications
1 Computer Physics Communications
1 Journal of Fluid Mechanics
1 Journal of Mathematical Analysis and Applications
1 Wave Motion
1 Calcolo
1 Journal of Functional Analysis
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Numerical Functional Analysis and Optimization
1 Quarterly of Applied Mathematics
1 SIAM Journal on Control and Optimization
1 Physica D
1 Revista Matemática Iberoamericana
1 COMPEL
1 Forum Mathematicum
1 Science in China. Series A
1 European Journal of Applied Mathematics
1 Journal of Non-Newtonian Fluid Mechanics
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Journal of Dynamics and Differential Equations
1 Boletim da Sociedade Brasileira de Matemática. Nova Série
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Journées Équations aux Dérivées Partielles (Saint-Jean-de-Monts)
1 Journal of Mathematical Sciences (New York)
1 Matemática Contemporânea
1 Taiwanese Journal of Mathematics
1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Interfaces and Free Boundaries
1 Acta Numerica
1 Complex Variables and Elliptic Equations
1 Mathematics and Mechanics of Complex Systems
1 Nonlinear Analysis. Theory, Methods & Applications
1 SMAI Journal of Computational Mathematics

Publications by Year

Citations contained in zbMATH Open

183 Publications have been cited 3,828 times in 2,346 Documents Cited by Year
Semiconductor equations. Zbl 0765.35001
Markowich, Peter A.; Ringhofer, Christian A.; Schmeiser, Christian
396
1990
Homogenization limits and Wigner transforms. Zbl 0881.35099
Gérard, Patrick; Markowich, Peter A.; Mauser, Norbert J.; Poupaud, Frédéric
183
1997
Global solutions to the coupled chemotaxis-fluid equations. Zbl 1275.35005
Duan, Renjun; Lorz, Alexander; Markowich, Peter
163
2010
On convex Sobolev inequalities and the rate of convergence to equilibrium for Fokker-Planck type equations. Zbl 0982.35113
Arnold, Anton; Markowich, Peter; Toscani, Giuseppe; Unterreiter, Andreas
156
2001
On time-splitting spectral approximations for the Schrödinger equation in the semiclassical regime. Zbl 1006.65112
Bao, Weizhu; Jin, Shi; Markowich, Peter A.
143
2002
Entropy dissipation methods for degenerate parabolic problems and generalized Sobolev inequalities. Zbl 0984.35027
Carrillo, J. A.; Jüngel, A.; Markowich, P. A.; Toscani, G.; Unterreiter, A.
124
2001
Chemotaxis-fluid coupled model for swimming bacteria with nonlinear diffusion: global existence and asymptotic behavior. Zbl 1276.35103
Di Francesco, Marco; Lorz, Alexander; Markowich, Peter A.
111
2010
Numerical solution of the Gross–Pitaevskii equation for Bose–Einstein condensation. Zbl 1028.82501
Bao, Weizhu; Jaksch, Dieter; Markowich, Peter A.
107
2003
Kinetic models for chemotaxis and their drift-diffusion limits. Zbl 1052.92005
Chalub, Fabio A. C. C.; Markowich, Peter A.; Perthame, Benoît; Schmeiser, Christian
104
2004
On a one-dimensional steady-state hydrodynamic model for semiconductors. Zbl 0736.35129
Degond, P.; Markowich, P. A.
92
1990
Numerical study of time-splitting spectral discretizations of nonlinear Schrödinger equations in the semiclassical regimes. Zbl 1038.65099
Bao, Weizhu; Jin, Shi; Markowich, Peter A.
70
2003
A steady state potential flow model for semiconductors. Zbl 0808.35150
Degond, Pierre; Markowich, Peter A.
54
1993
The classical limit of a self-consistent quantum-Vlasov equation in 3D. Zbl 0772.35061
Markowich, Peter A.; Mauser, Norbert J.
52
1993
The three-dimensional Wigner-Poisson problem: Existence, uniqueness and approximation. Zbl 0739.35080
Brezzi, Franco; Markowich, Peter A.
51
1991
Boltzmann and Fokker-Planck equations modelling opinion formation in the presence of strong leaders. Zbl 1195.91127
Düring, Bertram; Markowich, Peter; Pietschmann, Jan-Frederik; Wolfram, Marie-Therese
51
2009
Quantum hydrodynamics, Wigner transforms and the classical limit. Zbl 0877.76087
Gasser, Ingenuin; Markowich, Peter A.
49
1997
Sinking, merging and stationary plumes in a coupled chemotaxis-fluid model: a high-resolution numerical approach. Zbl 1250.76191
Chertock, A.; Fellner, K.; Kurganov, A.; Lorz, A.; Markowich, P. A.
49
2012
Asymptotic behaviour of solutions of the hydrodynamic model of semiconductors. Zbl 1119.35310
Li, Hailiang; Markowich, Peter; Mei, Ming
47
2002
Numerical approximation of quadratic observables of Schrödinger-type equations in the semi-classical limit. Zbl 0928.65109
Markowich, Peter A.; Pietra, Paola; Pohl, Carsten
47
1999
The asymptotic behavior of globally smooth solutions of the multidimensional isentropic hydrodynamic model for semiconductors. Zbl 1045.35088
Hsiao, Ling; Markowich, Peter A.; Wang, Shu
45
2003
Model hierarchies for cell aggregation by chemotaxis. Zbl 1094.92009
Chalub, Fabio; Dolak-Struss, Yasmin; Markowich, Peter; Oelz, Dietmar; Schmeiser, Christian; Soreff, Alexander
45
2006
Ground, symmetric and central vortex states in rotating Bose-Einstein condensates. Zbl 1073.82004
Bao, Weizhu; Wang, Hanquan; Markowich, Peter A.
44
2005
Mathematical and computational methods for semiclassical Schrödinger equations. Zbl 1233.65071
Jin, Shi; Markowich, Peter; Sparber, Christof
44
2011
Continuous data assimilation for the three-dimensional Brinkman-Forchheimer-extended Darcy model. Zbl 1339.35246
Markowich, Peter A.; Titi, Edriss S.; Trabelsi, Saber
40
2016
A Wigner-function approach to (semi)classical limits: Electrons in a periodic potential. Zbl 0805.35106
Markowich, P. A.; Mauser, N. J.; Poupaud, F.
38
1994
On the equivalence of the Schrödinger and the quantum Liouville equations. Zbl 0696.47042
Markowich, Peter A.
38
1989
On the trend to equilibrium for the Fokker-Planck equation: an interplay between physics and functional analysis. Zbl 1139.82326
Markowich, P. A.; Villani, C.
36
2000
On a one-dimensional Schrödinger-Poisson scattering model. Zbl 0885.34067
Ben Abdallah, Naoufel; Degond, Pierre; Markowich, Peter A.
34
1997
A time-splitting spectral scheme for the Maxwell-Dirac system. Zbl 1070.81040
Huang, Zhongyi; Jin, Shi; Markowich, Peter A.; Sparber, Christof; Zheng, Chunxiong
33
2005
Mean field games with nonlinear mobilities in pedestrian dynamics. Zbl 1304.49008
Burger, Martin; Di Francesco, Marco; Markowich, Peter A.; Wolfram, Marie-Therese
33
2014
On the Gross-Pitaevskii equation for trapped dipolar quantum gases. Zbl 1157.35102
Carles, Rémi; Markowich, Peter A.; Sparber, Christof
33
2008
On generalized Csiszár-Kullback inequalities. Zbl 1015.94003
Unterreiter, Andreas; Arnold, Anton; Markowich, Peter; Toscani, Giuseppe
32
2000
On the Hughes’ model for pedestrian flow: the one-dimensional case. Zbl 1229.35139
Di Francesco, Marco; Markowich, Peter A.; Pietschmann, Jan-Frederik; Wolfram, Marie-Therese
32
2011
Entropies and equilibria of many-particle systems: an essay on recent research. Zbl 1063.35109
Arnold, A.; Carrillo, J. A.; Desvillettes, L.; Dolbeault, J.; Jüngel, A.; Lederman, C.; Markowich, P. A.; Toscani, G.; Villani, C.
30
2004
Numerical simulation of a generalized Zakharov system. Zbl 1079.65101
Jin, Shi; Markowich, Peter A.; Zheng, Chunxiong
30
2004
The initial time layer problem and the quasineutral limit in the semiconductor drift-diffusion model. Zbl 1018.82024
Gasser, Ingenuin; Levermore, C. David; Markowich, Peter A.; Schmeiser, Christian
29
2001
A phase plane analysis of transonic solutions for the hydrodynamic semiconductor model. Zbl 0800.76032
Ascher, Uri M.; Markowich, Peter A.; Pietra, Paola; Schmeiser, Christian
29
1991
Numerical study of oscillatory regimes in the Kadomtsev-Petviashvili equation. Zbl 1128.37043
Klein, Christian; Sparber, Christof; Markowich, Peter
27
2007
An analysis of quantum Fokker-Planck models: a Wigner function approach. Zbl 1062.35097
Arnold, Anton; López, José L.; Markowich, Peter A.; Soler, Juan
26
2004
Wigner functions versus WKB-methods in multivalued geometrical optics. Zbl 1069.81552
Sparber, Christof; Markowich, Peter A.; Mauser, Norbert J.
26
2003
Numerical study of fractional nonlinear Schrödinger equations. Zbl 1372.65284
Klein, Christian; Sparber, Christof; Markowich, Peter
26
2014
On steady state Euler-Poisson models for semiconductors. Zbl 0755.35138
Markowich, Peter A.
25
1991
On uniform decay of the entropy for reaction-diffusion systems. Zbl 1338.35245
Mielke, Alexander; Haskovec, Jan; Markowich, Peter A.
23
2015
Closure conditions for classical and quantum moment hierarchies in the small-temperature limit. Zbl 0871.76078
Gasser, Ingenuin; Markowich, Peter A.; Ringhofer, Christian A.
22
1996
A Wigner-measure analysis of the Dufort–Frankel scheme for the Schrödinger equation. Zbl 1029.65098
Markowich, Peter A.; Pietra, Paola; Pohl, Carsten; Stimming, Hans Peter
20
2002
Uniform asymptotic representation of solutions of the basic semiconductor-device equations. Zbl 0614.34013
Markowich, Peter A.; Schmeiser, Christian
20
1986
On large time asymptotics for drift-diffusion-Poisson systems. Zbl 1017.82041
Arnold, Anton; Markowich, Peter; Toscani, Giuseppe
20
2000
Quasi-neutral limit of a nonlinear drift diffusion model for semiconductors. Zbl 1016.82034
Gasser, Ingenuin; Hsiao, Ling; Markowich, Peter A.; Wang, Shu
19
2002
An analysis of the quantum Liouville equation. Zbl 0682.46047
Markowich, P. A.; Ringhofer, C. A.
19
1989
Quasi-neutral limit of the drift diffusion models for semiconductors: the case of general sign-changing doping profile. Zbl 1103.76070
Wang, Shu; Xin, Zhouping; Markowich, Peter A.
19
2006
Nonlinear diffusion as limit of kinetic equations with relaxation collision kernels. Zbl 1148.76047
Dolbeault, Jean; Markowich, Peter; Oelz, Dietmar; Schmeiser, Christian
19
2007
Poincaré inequalities for linearizations of very fast diffusion equations. Zbl 1011.35025
Carrillo, J. A.; Lederman, C.; Markowich, P. A.; Toscani, G.
16
2002
A system of convection-diffusion equations with small diffusion coefficient arising in semiconductor physics. Zbl 0709.35058
Markowich, Peter A.; Szmolyan, Peter
16
1989
On singular limits of mean-field equations. Zbl 1054.76086
Dolbeault, Jean; Markowich, Peter A.; Unterreiter, Andreas
16
2001
A singularly perturbed boundary value problem modelling a semiconductor device. Zbl 0559.34058
Markowich, Peter A.; Ringhofer, Christian A.
16
1984
On a Boltzmann-type price formation model. Zbl 1372.91039
Burger, Martin; Caffarelli, Luis; Markowich, Peter A.; Wolfram, Marie-Therese
16
2013
Mathematical analysis of a PDE system for biological network formation. Zbl 1345.35120
Haskovec, Jan; Markowich, Peter; Perthame, Benoit
16
2015
Notes on a PDE system for biological network formation. Zbl 1334.35101
Haskovec, Jan; Markowich, Peter; Perthame, Benoît; Schlottbom, Matthias
15
2016
Optimal bilinear control of Gross-Pitaevskii equations. Zbl 1277.49005
Hintermüller, Michael; Marahrens, Daniel; Markowich, Peter A.; Sparber, Christof
15
2013
A review of dispersive limits of (non)linear Schrödinger-type equations. Zbl 0972.35112
Gasser, Ingenuin; Lin, Chi-Kun; Markowich, Peter A.
14
2000
On fast-diffusion equations with infinite equilibrium entropy and finite equilibrium mass. Zbl 1024.35040
Lederman, Claudia; Markowich, Peter A.
14
2003
Biological transportation networks: modeling and simulation. Zbl 1329.35313
Albi, Giacomo; Artina, Marco; Foransier, Massimo; Markowich, Peter A.
14
2016
Existence and nonlinear stability of stationary states of the Schrödinger-Poisson system. Zbl 1001.82107
Markowich, Peter A.; Rein, Gerhard; Wolansky, Gershon
13
2002
Asymptotic behavior of subsonic entropy solutions of the isentropic Euler-Poisson equations. Zbl 1031.35100
Li, Hailiang; Markowich, Peter; Mei, Ming
13
2002
Semiclassical asymptotics for the Maxwell-Dirac system. Zbl 1062.81059
Sparber, C.; Markowich, P.
13
2003
Fast conservative and entropic numerical methods for the boson Boltzmann equation. Zbl 1204.82031
Markowich, Peter A.; Pareschi, Lorenzo
13
2005
Thermal equilibrium states of the quantum hydrodynamic model for semiconductors in one dimension. Zbl 0829.35127
Brezzi, F.; Gasser, I.; Markowich, P. A.; Schmeiser, C.
13
1995
Semiclassical, \(t\to \infty\) asymptotics and dispersive effects for Hartree-Fock systems. Zbl 0924.35125
Gasser, I.; Illner, R.; Markowich, P. A.; Schmeiser, C.
13
1998
A theory for the approximation of solutions of boundary value problems on infinite intervals. Zbl 0498.34007
Markowich, Peter A.
13
1982
Partial differential equation models in the socio-economic sciences. Zbl 1353.00004
Burger, Martin (ed.); Caffarelli, Luis (ed.); Markowich, Peter A. (ed.)
13
2014
Continuous limit of a crowd motion and herding model: analysis and numerical simulations. Zbl 1347.35128
Burger, Martin; Markowich, Peter Alexander; Pietschmann, Jan-Frederik
13
2011
A singular perturbation analysis of the fundamental semiconductor device equations. Zbl 0568.35007
Markowich, Peter A.
13
1984
Multiphase semiclassical approximation of an electron in a one-dimensional crystalline lattice. I: Homogeneous problems. Zbl 1079.81026
Gosse, Laurent; Markowich, Peter A.
12
2004
On a parabolic free boundary equation modeling price formation. Zbl 1183.35278
Markowich, P. A.; Matevosyan, N.; Pietschmann, J.-F.; Wolfram, M.-T.
12
2009
High field approximations of the spherical harmonics expansion model for semiconductors. Zbl 1174.82345
Ben Abdallah, N.; Degond, P.; Markowich, P.; Schmeiser, C.
11
2001
A nonlinear Volterra integrodifferential equation describing the stretching of polymeric liquids. Zbl 0507.45013
Markowich, Peter A.; Renardy, M.
11
1983
Analysis of boundary value problems on infinite intervals. Zbl 0528.34017
Markowich, Peter A.
11
1983
The entropy dissipation method for spatially inhomogeneous reaction-diffusion-type systems. Zbl 1186.35101
Di Francesco, Marco; Fellner, Klemens; Markowich, Peter A.
11
2008
Semiclassical asymptotics for weakly nonlinear Bloch waves. Zbl 1104.81049
Carles, Rémi; Markowich, Peter A.; Sparber, Christof
11
2004
A Bloch decomposition – based split-step pseudospectral method for quantum dynamics with periodic potentials. Zbl 1136.65093
Huang, Zhongyi; Jin, Shi; Markowich, Peter A.; Sparber, Christof
11
2007
On a price formation free boundary model by Lasry and Lions. Zbl 1216.91012
Caffarelli, Luis A.; Markowich, Peter A.; Pietschmann, Jan-F.
11
2011
Global existence and asymptotic behavior for a semiconductor drift-diffusion-Poisson model. Zbl 1157.35013
Hao, Wu; Markowich, Peter A.; Zheng, Songmu
11
2008
A drift-diffusion-reaction model for excitonic photovoltaic bilayers: asymptotic analysis and a 2D HDG finite element scheme. Zbl 1264.35118
Brinkman, Daniel; Fellner, Klemens; Markowich, Peter A.; Wolfram, Marie-Therese
11
2013
Travelling wave analysis of an isothermal Euler-Poisson model. Zbl 0884.35126
Cordier, S.; Degond, P.; Markowich, P.; Schmeiser, C.
10
1996
On the long-time behavior of the quantum Fokker-Planck equation. Zbl 1061.35095
Sparber, C.; Carrillo, J. A.; Dolbeault, J.; Markowich, P. A.
10
2004
Identification of doping profiles in semiconductor devices. Zbl 0989.35139
Burger, Martin; Engl, Heinz W.; Markowich, Peter A.; Pietra, Paola
10
2001
An asymptotic analysis of one-dimensional models of semiconductur devices. Zbl 0639.34016
Markowich, P. A.; Ringhofer, C. A.; Schmeiser, C.
10
1986
The drift-diffusion limit for electron-phonon interaction in semiconductors. Zbl 0884.45006
Markowich, Peter A.; Schmeiser, Christian
9
1997
Scattering of solitons of the Klein-Gordon equation coupled to a classical particle. Zbl 1061.35070
Imaikin, Valery; Komech, Alexander; Markowich, Peter A.
9
2003
Conditioning of the steady state semiconductor device problem. Zbl 0699.35046
Ascher, U.; Markowich, P. A.; Schmeiser, C.; Steinrück, Herbert; Weiss, R.
9
1989
On the XFEL Schrödinger equation: highly oscillatory magnetic potentials and time averaging. Zbl 1294.35129
Antonelli, Paolo; Athanassoulis, Agisillaos; Hajaiej, Hichem; Markowich, Peter
9
2014
A convergent 2D finite-difference scheme for the Dirac-Poisson system and the simulation of graphene. Zbl 1349.65271
Brinkman, D.; Heitzinger, C.; Markowich, P. A.
9
2014
Bohmian measures and their classical limit. Zbl 1195.81060
Markowich, Peter; Paul, Thierry; Sparber, Christof
9
2010
Macroscopic theory of charged quantum fluids. Zbl 0882.76107
Gasser, I.; Markowich, P. A.; Schmidt, D.; Unterreiter, A.
8
1995
Large time asymptotics of nonlinear drift-diffusion systems with Poisson coupling. Zbl 0988.35134
Biler, Piotr; Dolbeault, Jean; Markowich, Peter A.
8
2001
Classical limit for semirelativistic Hartree systems. Zbl 1152.81307
Aki, Gonca L.; Markowich, Peter A.; Sparber, Christof
8
2008
Pattern formation of a nonlocal, anisotropic interaction model. Zbl 1383.35024
Burger, Martin; Düring, Bertram; Kreusser, Lisa Maria; Markowich, Peter A.; Schönlieb, Carola-Bibiane
7
2018
Decay to equilibrium for energy-reaction-diffusion systems. Zbl 1387.35352
Haskovec, Jan; Hittmeir, Sabine; Markowich, Peter; Mielke, Alexander
7
2018
On Maxwellian equilibria of insulated semiconductors. Zbl 0961.35158
Caffarelli, Luis; Dolbeault, Jean; Markowich, Peter A.; Schmeiser, Christian
7
2000
On the Gross-Pitaevskii equation with strongly anisotropic confinement: formal asymptotics and numerical experiments. Zbl 1075.35073
Bao, Weizhu; Markowich, Peter A.; Schmeiser, Christian; Weishäupl, Rada M.
7
2005
Rigorous continuum limit for the discrete network formation problem. Zbl 1428.35652
Haskovec, Jan; Kreusser, Lisa Maria; Markowich, Peter
6
2019
A mesoscopic model of biological transportation networks. Zbl 1433.35416
Burger, Martin; Haskovec, Jan; Markowich, Peter; Ranetbauer, Helene
4
2019
ODE- and PDE-based modeling of biological transportation networks. Zbl 1433.35421
Haskovec, Jan; Kreusser, Lisa Maria; Markowich, Peter
4
2019
Implicit and semi-implicit numerical schemes for the gradient flow of the formation of biological transport networks. Zbl 1437.65095
Fang, Di; Jin, Shi; Markowich, Peter; Perthame, Benoît
2
2019
Murray’s law for discrete and continuum models of biological networks. Zbl 1428.92029
Haskovec, Jan; Markowich, Peter; Pilli, Giulia
1
2019
Non-uniqueness of weak solutions of the quantum-hydrodynamic system. Zbl 1421.35004
Markowich, Peter; Sierra, Jesús
1
2019
Pattern formation of a nonlocal, anisotropic interaction model. Zbl 1383.35024
Burger, Martin; Düring, Bertram; Kreusser, Lisa Maria; Markowich, Peter A.; Schönlieb, Carola-Bibiane
7
2018
Decay to equilibrium for energy-reaction-diffusion systems. Zbl 1387.35352
Haskovec, Jan; Hittmeir, Sabine; Markowich, Peter; Mielke, Alexander
7
2018
Fundamental solutions for Schrödinger operators with general inverse square potentials. Zbl 1395.35002
Chen, Huyuan; Alhomedan, Suad; Hajaiej, Hichem; Markowich, Peter
2
2018
Well posedness and maximum entropy approximation for the dynamics of quantitative traits. Zbl 1398.35245
Boďová, Katarína; Haskovec, Jan; Markowich, Peter
1
2018
Orbital stability of standing waves of a class of fractional Schrödinger equations with Hartree-type nonlinearity. Zbl 1375.35480
Cho, Yonggeun; Fall, Mouhamed M.; Hajaiej, Hichem; Markowich, Peter A.; Trabelsi, Saber
2
2017
Complete study of the existence and uniqueness of solutions for semilinear elliptic equations involving measures concentrated on boundary. Zbl 1387.35603
Chen, Huyuan; Alhomedan, Suad; Hajaiej, Hichem; Markowich, Peter
2
2017
Existence of solutions to perturbed fractional Nirenberg problems. Zbl 1359.35210
Abdelhedi, Wael; Alhemedan, Suad; Chtioui, Hichem; Hajaiej, Hichem; Markowich, Peter A.
1
2017
Continuous data assimilation for the three-dimensional Brinkman-Forchheimer-extended Darcy model. Zbl 1339.35246
Markowich, Peter A.; Titi, Edriss S.; Trabelsi, Saber
40
2016
Notes on a PDE system for biological network formation. Zbl 1334.35101
Haskovec, Jan; Markowich, Peter; Perthame, Benoît; Schlottbom, Matthias
15
2016
Biological transportation networks: modeling and simulation. Zbl 1329.35313
Albi, Giacomo; Artina, Marco; Foransier, Massimo; Markowich, Peter A.
14
2016
Parabolic free boundary price formation models under market size fluctuations. Zbl 1355.35184
Markowich, Peter; Teichmann, Josef; Wolfram, Marie-Therese
4
2016
On uniform decay of the entropy for reaction-diffusion systems. Zbl 1338.35245
Mielke, Alexander; Haskovec, Jan; Markowich, Peter A.
23
2015
Mathematical analysis of a PDE system for biological network formation. Zbl 1345.35120
Haskovec, Jan; Markowich, Peter; Perthame, Benoit
16
2015
On the Gross-Pitaevskii equation with pumping and decay: stationary states and their stability. Zbl 1318.35109
Sierra, Jesús; Kasimov, Aslan; Markowich, Peter; Weishäupl, Rada-Maria
4
2015
Hamiltonian evolution of monokinetic measures with rough momentum profile. Zbl 1329.35259
Bardos, Claude; Golse, François; Markowich, Peter; Paul, Thierry
2
2015
Stationary solutions of Keller-Segel-type crowd motion and herding models: multiplicity and dynamical stability. Zbl 1336.35337
Dolbeault, Jean; Jankowiak, Gaspard; Markowich, Peter
1
2015
On the classical limit of the Schrödinger equation. Zbl 1332.35312
Bardos, Claude; Golse, François; Markowich, Peter; Paul, Thierry
1
2015
Mean field games with nonlinear mobilities in pedestrian dynamics. Zbl 1304.49008
Burger, Martin; Di Francesco, Marco; Markowich, Peter A.; Wolfram, Marie-Therese
33
2014
Numerical study of fractional nonlinear Schrödinger equations. Zbl 1372.65284
Klein, Christian; Sparber, Christof; Markowich, Peter
26
2014
Partial differential equation models in the socio-economic sciences. Zbl 1353.00004
Burger, Martin; Caffarelli, Luis; Markowich, Peter A.
13
2014
On the XFEL Schrödinger equation: highly oscillatory magnetic potentials and time averaging. Zbl 1294.35129
Antonelli, Paolo; Athanassoulis, Agisillaos; Hajaiej, Hichem; Markowich, Peter
9
2014
A convergent 2D finite-difference scheme for the Dirac-Poisson system and the simulation of graphene. Zbl 1349.65271
Brinkman, D.; Heitzinger, C.; Markowich, P. A.
9
2014
On the asymptotic behavior of a Boltzmann-type price formation model. Zbl 1307.35302
Burger, Martin; Caffarelli, Luis; Markowich, Peter A.; Wolfram, Marie-Therese
7
2014
Numerical simulations of X-ray free electron lasers (XFEL). Zbl 1319.78015
Antonelli, Paolo; Athanassoulis, Agissilaos; Huang, Zhongyi; Markowich, Peter A.
4
2014
WKB analysis of Bohmian dynamics. Zbl 1341.35139
Figalli, A.; Klein, C.; Markowich, P.; Sparber, C.
3
2014
Minimizers of a class of constrained vectorial variational problems. I. Zbl 1307.49012
Hajaiej, Hichem; Markowich, Peter A.; Trabelsi, Saber
2
2014
Multiconfiguration Hartree-Fock theory for pseudorelativistic systems: the time-dependent case. Zbl 1291.35256
Hajaiej, Hichem; Markowich, Peter A.; Trabelsi, Saber
1
2014
Variational approach to the orbital stability of standing waves of the Gross-Pitaevskii equation. Zbl 1304.35655
Selem, Fouad Hadj; Hajaiej, Hichem; Markowich, Peter A.; Trabelsi, Saber
1
2014
On a Boltzmann-type price formation model. Zbl 1372.91039
Burger, Martin; Caffarelli, Luis; Markowich, Peter A.; Wolfram, Marie-Therese
16
2013
Optimal bilinear control of Gross-Pitaevskii equations. Zbl 1277.49005
Hintermüller, Michael; Marahrens, Daniel; Markowich, Peter A.; Sparber, Christof
15
2013
A drift-diffusion-reaction model for excitonic photovoltaic bilayers: asymptotic analysis and a 2D HDG finite element scheme. Zbl 1264.35118
Brinkman, Daniel; Fellner, Klemens; Markowich, Peter A.; Wolfram, Marie-Therese
11
2013
Sinking, merging and stationary plumes in a coupled chemotaxis-fluid model: a high-resolution numerical approach. Zbl 1250.76191
Chertock, A.; Fellner, K.; Kurganov, A.; Lorz, A.; Markowich, P. A.
49
2012
On the dynamics of Bohmian measures. Zbl 1256.35171
Markowich, Peter; Paul, Thierry; Sparber, Christof
5
2012
Mathematical and computational methods for semiclassical Schrödinger equations. Zbl 1233.65071
Jin, Shi; Markowich, Peter; Sparber, Christof
44
2011
On the Hughes’ model for pedestrian flow: the one-dimensional case. Zbl 1229.35139
Di Francesco, Marco; Markowich, Peter A.; Pietschmann, Jan-Frederik; Wolfram, Marie-Therese
32
2011
Continuous limit of a crowd motion and herding model: analysis and numerical simulations. Zbl 1347.35128
Burger, Martin; Markowich, Peter Alexander; Pietschmann, Jan-Frederik
13
2011
On a price formation free boundary model by Lasry and Lions. Zbl 1216.91012
Caffarelli, Luis A.; Markowich, Peter A.; Pietschmann, Jan-F.
11
2011
On a price formation free boundary model by Lasry and Lions: the Neumann problem. Zbl 1233.91336
Caffarelli, Luis A.; Markowich, Peter A.; Wolfram, Marie-Therese
6
2011
Global solutions to the coupled chemotaxis-fluid equations. Zbl 1275.35005
Duan, Renjun; Lorz, Alexander; Markowich, Peter
163
2010
Chemotaxis-fluid coupled model for swimming bacteria with nonlinear diffusion: global existence and asymptotic behavior. Zbl 1276.35103
Di Francesco, Marco; Lorz, Alexander; Markowich, Peter A.
111
2010
Bohmian measures and their classical limit. Zbl 1195.81060
Markowich, Peter; Paul, Thierry; Sparber, Christof
9
2010
Numerical simulation of trapped dipolar quantum gases: collapse studies and vortex dynamics. Zbl 1188.81064
Huang, Zhongyi; Markowich, Peter A.; Sparber, Christof
1
2010
Decomposition-based method for high frequency waves in periodic media. Zbl 1227.35022
Huang, Zhongyi; Jin, Shi; Markowich, Peter A.; Sparber, Christof
1
2010
Boltzmann and Fokker-Planck equations modelling opinion formation in the presence of strong leaders. Zbl 1195.91127
Düring, Bertram; Markowich, Peter; Pietschmann, Jan-Frederik; Wolfram, Marie-Therese
51
2009
On a parabolic free boundary equation modeling price formation. Zbl 1183.35278
Markowich, P. A.; Matevosyan, N.; Pietschmann, J.-F.; Wolfram, M.-T.
12
2009
On the Bloch decomposition based spectral method for wave propagation in periodic media. Zbl 1231.78019
Huang, Zhongyi; Jin, Shi; Markowich, Peter A.; Sparber, Christof
3
2009
On the Gross-Pitaevskii equation for trapped dipolar quantum gases. Zbl 1157.35102
Carles, Rémi; Markowich, Peter A.; Sparber, Christof
33
2008
The entropy dissipation method for spatially inhomogeneous reaction-diffusion-type systems. Zbl 1186.35101
Di Francesco, Marco; Fellner, Klemens; Markowich, Peter A.
11
2008
Global existence and asymptotic behavior for a semiconductor drift-diffusion-Poisson model. Zbl 1157.35013
Hao, Wu; Markowich, Peter A.; Zheng, Songmu
11
2008
Classical limit for semirelativistic Hartree systems. Zbl 1152.81307
Aki, Gonca L.; Markowich, Peter A.; Sparber, Christof
8
2008
Numerical simulation of the nonlinear Schrödinger equation with multidimensional periodic potentials. Zbl 1173.65341
Huang, Zhongyi; Jin, Shi; Markowich, Peter A.; Sparber, Christof
7
2008
The Willmore functional and instabilities in the Cahn-Hilliard equation. Zbl 1154.35009
Burger, Martin; Chu, Shun-Yin; Markowich, Peter A.; Schönlieb, Carola-Bibiane
3
2008
Mathematical methods and modeling of biophysical phenomena. Zbl 1155.92302
Perthame, Benoit; Markowich, Peter; Zubelli, Jorge P.
2
2008
Numerical study of oscillatory regimes in the Kadomtsev-Petviashvili equation. Zbl 1128.37043
Klein, Christian; Sparber, Christof; Markowich, Peter
27
2007
Nonlinear diffusion as limit of kinetic equations with relaxation collision kernels. Zbl 1148.76047
Dolbeault, Jean; Markowich, Peter; Oelz, Dietmar; Schmeiser, Christian
19
2007
A Bloch decomposition – based split-step pseudospectral method for quantum dynamics with periodic potentials. Zbl 1136.65093
Huang, Zhongyi; Jin, Shi; Markowich, Peter A.; Sparber, Christof
11
2007
Applied partial differential equations: a visual approach. Zbl 1109.35001
Markowich, Peter A.
4
2007
A Hermite pseudo-spectral method for solving systems of Gross-Pitaevskii equations. Zbl 1151.35087
Weishäuptl, Rada M.; Schmeiser, Christian; Markowich, Peter A.; Borgna, Juan Pablo
3
2007
Convergence rate of dimension reduction in Bose-Einstein condensates. Zbl 1196.82065
Bao, Weizhu; Ge, Yunyi; Jaksch, Dieter; Markowich, Peter A.; Weishäupl, Rada M.
3
2007
Inverse problems for semiconductors: models and methods. Zbl 1115.82039
Leitão, A.; Markowich, P. A.; Zubelli, J. P.
1
2007
Model hierarchies for cell aggregation by chemotaxis. Zbl 1094.92009
Chalub, Fabio; Dolak-Struss, Yasmin; Markowich, Peter; Oelz, Dietmar; Schmeiser, Christian; Soreff, Alexander
45
2006
Quasi-neutral limit of the drift diffusion models for semiconductors: the case of general sign-changing doping profile. Zbl 1103.76070
Wang, Shu; Xin, Zhouping; Markowich, Peter A.
19
2006
On inverse doping profile problems for the stationary voltage-current map. Zbl 1099.35173
Leitão, A.; Markowich, P. A.; Zubelli, J. P.
5
2006
Ground, symmetric and central vortex states in rotating Bose-Einstein condensates. Zbl 1073.82004
Bao, Weizhu; Wang, Hanquan; Markowich, Peter A.
44
2005
A time-splitting spectral scheme for the Maxwell-Dirac system. Zbl 1070.81040
Huang, Zhongyi; Jin, Shi; Markowich, Peter A.; Sparber, Christof; Zheng, Chunxiong
33
2005
Fast conservative and entropic numerical methods for the boson Boltzmann equation. Zbl 1204.82031
Markowich, Peter A.; Pareschi, Lorenzo
13
2005
On the Gross-Pitaevskii equation with strongly anisotropic confinement: formal asymptotics and numerical experiments. Zbl 1075.35073
Bao, Weizhu; Markowich, Peter A.; Schmeiser, Christian; Weishäupl, Rada M.
7
2005
Kinetic models for chemotaxis and their drift-diffusion limits. Zbl 1052.92005
Chalub, Fabio A. C. C.; Markowich, Peter A.; Perthame, Benoît; Schmeiser, Christian
104
2004
Entropies and equilibria of many-particle systems: an essay on recent research. Zbl 1063.35109
Arnold, A.; Carrillo, J. A.; Desvillettes, L.; Dolbeault, J.; Jüngel, A.; Lederman, C.; Markowich, P. A.; Toscani, G.; Villani, C.
30
2004
Numerical simulation of a generalized Zakharov system. Zbl 1079.65101
Jin, Shi; Markowich, Peter A.; Zheng, Chunxiong
30
2004
An analysis of quantum Fokker-Planck models: a Wigner function approach. Zbl 1062.35097
Arnold, Anton; López, José L.; Markowich, Peter A.; Soler, Juan
26
2004
Multiphase semiclassical approximation of an electron in a one-dimensional crystalline lattice. I: Homogeneous problems. Zbl 1079.81026
Gosse, Laurent; Markowich, Peter A.
12
2004
Semiclassical asymptotics for weakly nonlinear Bloch waves. Zbl 1104.81049
Carles, Rémi; Markowich, Peter A.; Sparber, Christof
11
2004
On the long-time behavior of the quantum Fokker-Planck equation. Zbl 1061.35095
Sparber, C.; Carrillo, J. A.; Dolbeault, J.; Markowich, P. A.
10
2004
Steady states for Streater’s energy-transport models of self-gravitating particles. Zbl 1044.82013
Biler, Piotr; Dolbeault, Jean; Esteban, Maria J.; Markowich, Peter A.; Nadzieja, Tadeusz
7
2004
On inverse problems for semiconductor equations. Zbl 1214.82122
Burger, M.; Engl, H. W.; Leitao, A.; Markowich, P. A.
5
2004
Quantum kinetic theory: modelling and numerics for Bose-Einstein condensation. Zbl 1106.82344
Bao, Weizhu; Pareschi, Lorenzo; Markowich, Peter A.
4
2004
Erratum: “Semiclassical asymptotics for the Maxwell-Dirac system”. Zbl 1064.81508
Sparber, C.; Markowich, P.
1
2004
Behavior of the free boundary near contact points with the fixed boundary for nonlinear elliptic equations. Zbl 1064.35215
Matevosyan, Norayr; Markowich, Peter A.
1
2004
Entropy dissipation and Wasserstein metric methods for the viscous Burgers’ equation: Convergence to diffusive waves. Zbl 1062.35111
Di Francesco, Marco; Markowich, Peter A.
1
2004
Numerical solution of the Gross–Pitaevskii equation for Bose–Einstein condensation. Zbl 1028.82501
Bao, Weizhu; Jaksch, Dieter; Markowich, Peter A.
107
2003
Numerical study of time-splitting spectral discretizations of nonlinear Schrödinger equations in the semiclassical regimes. Zbl 1038.65099
Bao, Weizhu; Jin, Shi; Markowich, Peter A.
70
2003
The asymptotic behavior of globally smooth solutions of the multidimensional isentropic hydrodynamic model for semiconductors. Zbl 1045.35088
Hsiao, Ling; Markowich, Peter A.; Wang, Shu
45
2003
Wigner functions versus WKB-methods in multivalued geometrical optics. Zbl 1069.81552
Sparber, Christof; Markowich, Peter A.; Mauser, Norbert J.
26
2003
On fast-diffusion equations with infinite equilibrium entropy and finite equilibrium mass. Zbl 1024.35040
Lederman, Claudia; Markowich, Peter A.
14
2003
Semiclassical asymptotics for the Maxwell-Dirac system. Zbl 1062.81059
Sparber, C.; Markowich, P.
13
2003
Scattering of solitons of the Klein-Gordon equation coupled to a classical particle. Zbl 1061.35070
Imaikin, Valery; Komech, Alexander; Markowich, Peter A.
9
2003
Recent progress on quantum hydrodynamic models for semiconductors. Zbl 1134.82338
Jüngel, Ansgar; Li, Hailiang; Markowich, Peter A.; Wang, Shu
2
2003
On time-splitting spectral approximations for the Schrödinger equation in the semiclassical regime. Zbl 1006.65112
Bao, Weizhu; Jin, Shi; Markowich, Peter A.
143
2002
Asymptotic behaviour of solutions of the hydrodynamic model of semiconductors. Zbl 1119.35310
Li, Hailiang; Markowich, Peter; Mei, Ming
47
2002
A Wigner-measure analysis of the Dufort–Frankel scheme for the Schrödinger equation. Zbl 1029.65098
Markowich, Peter A.; Pietra, Paola; Pohl, Carsten; Stimming, Hans Peter
20
2002
Quasi-neutral limit of a nonlinear drift diffusion model for semiconductors. Zbl 1016.82034
Gasser, Ingenuin; Hsiao, Ling; Markowich, Peter A.; Wang, Shu
19
2002
Poincaré inequalities for linearizations of very fast diffusion equations. Zbl 1011.35025
Carrillo, J. A.; Lederman, C.; Markowich, P. A.; Toscani, G.
16
2002
Existence and nonlinear stability of stationary states of the Schrödinger-Poisson system. Zbl 1001.82107
Markowich, Peter A.; Rein, Gerhard; Wolansky, Gershon
13
2002
...and 83 more Documents
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Cited by 2,443 Authors

67 Markowich, Peter Alexander
41 Carrillo de la Plata, José Antonio
39 Bao, Weizhu
38 Jüngel, Ansgar
37 Dolbeault, Jean
34 Wang, Shu
33 Winkler, Michael
31 Jin, Shi
25 Degond, Pierre
24 Toscani, Giuseppe
23 Bellomo, Nicola
22 Arnold, Anton
22 Sparber, Christof
22 Zhang, Kaijun
20 Peng, Yuejun
20 Perthame, Benoît
19 Li, Yeping
19 Méhats, Florian
18 Li, Hailiang
17 Bal, Guillaume
16 Ben Abdallah, Naoufel
16 Carles, Rémi
16 Martínez Gamba, Irene
16 Hsiao, Ling
16 Ryzhik, Lenya
16 Schmeiser, Christian
16 Soler, Juan S.
15 Gosse, Laurent
15 Guo, Boling
15 Liu, Hailiang
15 Mauser, Norbert Julius
14 Cai, Yongyong
14 Klein, Christian
14 Mei, Ming
14 Paul, Thierry
14 Tan, Zhong
14 Wolfram, Marie-Therese
13 Feng, Binhua
13 López, José Luis
13 Pareschi, Lorenzo
13 Pinaud, Olivier
13 Wang, Hanquan
13 Xiang, Zhaoyin
13 Xu, Jiang
13 Zheng, Jiashan
12 Burger, Martin
12 Chainais-Hillairet, Claire
12 Fellner, Klemens
12 Marcati, Pierangelo
12 Vauchelet, Nicolas
12 Wang, Tingchun
12 Yang, Xu
11 Calvez, Vincent
11 Di Francesco, Marco
11 Fermanian-Kammerer, Clotilde
11 Ha, Seung-Yeal
11 Lu, Jianfeng
11 Nieto, Juanjo
11 Romano, Vittorio
11 Yang, Jianwei
11 Yu, Huimin
11 Zweifel, Paul F.
10 Goudon, Thierry
10 Kang, Kyungkeun
10 Klar, Axel
10 Lange, Horst
10 Li, Xianggui
10 Mielke, Alexander
10 Poupaud, Frédéric
10 Ringhofer, Christian A.
10 Sacco, Riccardo
10 Tang, Qinglin
10 Tao, Youshan
10 Titi, Edriss Saleh
10 Vazquez, Juan Luis
10 Wang, Yulan
10 Zhang, Qian
9 Antonelli, Paolo
9 Bellouquid, Abdelghani
9 Blanchet, Adrien
9 Chen, Li
9 Chien, Cheng-Sheng
9 Duan, Renjun
9 Lin, Chikun
9 McCann, Robert J.
9 Nier, Francis
9 Pinnau, René
9 Shen, Jie
9 Tang, Bao Quoc
9 Zhang, Guojing
9 Zheng, Chunxiong
8 Antoine, Xavier
8 Banasiak, Jacek
8 Barletti, Luigi
8 Blokhin, Aleksandr Mikhaĭlovich
8 Esteban, Maria J.
8 Feng, Yuehong
8 Haskovec, Jan
8 Ju, Qiangchang
8 Koch, Othmar
...and 2,343 more Authors
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Cited in 283 Serials

149 Journal of Differential Equations
125 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
124 Journal of Computational Physics
87 Journal of Mathematical Analysis and Applications
59 Archive for Rational Mechanics and Analysis
59 Journal of Mathematical Physics
50 Journal of Statistical Physics
46 Nonlinear Analysis. Real World Applications
45 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
45 Applied Mathematics Letters
43 Communications in Partial Differential Equations
41 ZAMP. Zeitschrift für angewandte Mathematik und Physik
39 SIAM Journal on Mathematical Analysis
38 Kinetic and Related Models
37 Journal of Scientific Computing
32 Journal of Computational and Applied Mathematics
31 Transport Theory and Statistical Physics
30 Journal of Functional Analysis
29 Communications in Mathematical Physics
28 Physica D
28 Discrete and Continuous Dynamical Systems
28 Discrete and Continuous Dynamical Systems. Series B
28 Multiscale Modeling & Simulation
27 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
26 Applied Mathematics and Computation
26 Mathematical and Computer Modelling
25 Computers & Mathematics with Applications
25 Mathematical Methods in the Applied Sciences
24 Journal de Mathématiques Pures et Appliquées. Neuvième Série
23 Physics Letters. A
23 Applied Numerical Mathematics
21 Comptes Rendus. Mathématique. Académie des Sciences, Paris
20 Mathematics of Computation
20 Numerische Mathematik
19 Computer Physics Communications
18 Nonlinearity
17 SIAM Journal on Applied Mathematics
16 SIAM Journal on Scientific Computing
16 Communications on Pure and Applied Analysis
16 Networks and Heterogeneous Media
15 Science China. Mathematics
14 Calculus of Variations and Partial Differential Equations
13 Applicable Analysis
13 SIAM Journal on Numerical Analysis
13 Journal of Nonlinear Science
12 Journal of Mathematical Biology
11 Quarterly of Applied Mathematics
11 Acta Applicandae Mathematicae
11 Numerical Algorithms
11 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
10 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
10 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
9 Computer Methods in Applied Mechanics and Engineering
9 Chinese Annals of Mathematics. Series B
9 Annales Henri Poincaré
9 Journal of Evolution Equations
9 Journal of Hyperbolic Differential Equations
9 Discrete and Continuous Dynamical Systems. Series S
8 Wave Motion
8 SIAM Journal on Control and Optimization
8 Numerical Methods for Partial Differential Equations
7 COMPEL
7 European Journal of Applied Mathematics
7 Journal of Dynamics and Differential Equations
7 Journal of Mathematical Fluid Mechanics
7 Foundations of Computational Mathematics
7 Advanced Nonlinear Studies
6 Astrophysics and Space Science
6 Chaos, Solitons and Fractals
6 Annali di Matematica Pura ed Applicata. Serie Quarta
6 Applied Mathematics and Optimization
6 BIT
6 Monatshefte für Mathematik
6 RAIRO. Modélisation Mathématique et Analyse Numérique
6 NoDEA. Nonlinear Differential Equations and Applications
6 SIAM Journal on Applied Dynamical Systems
6 Evolution Equations and Control Theory
6 Nonlinear Analysis. Theory, Methods & Applications
6 Research in the Mathematical Sciences
5 Communications on Pure and Applied Mathematics
5 Journal of Fluid Mechanics
5 Transactions of the American Mathematical Society
5 International Journal of Computer Mathematics
5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
5 Computational and Applied Mathematics
5 Communications in Nonlinear Science and Numerical Simulation
5 Frontiers of Mathematics in China
5 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
4 International Journal of Theoretical Physics
4 Inverse Problems
4 Physica A
4 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
4 Mathematics and Computers in Simulation
4 Acta Mathematicae Applicatae Sinica. English Series
4 Revista Matemática Iberoamericana
4 Applications of Mathematics
4 Applied Mathematical Modelling
4 Mathematical Problems in Engineering
4 Vietnam Journal of Mathematics
4 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
...and 183 more Serials
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Cited in 45 Fields

1,781 Partial differential equations (35-XX)
613 Statistical mechanics, structure of matter (82-XX)
553 Numerical analysis (65-XX)
515 Fluid mechanics (76-XX)
378 Biology and other natural sciences (92-XX)
315 Quantum theory (81-XX)
151 Optics, electromagnetic theory (78-XX)
100 Probability theory and stochastic processes (60-XX)
95 Dynamical systems and ergodic theory (37-XX)
88 Ordinary differential equations (34-XX)
85 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
81 Calculus of variations and optimal control; optimization (49-XX)
67 Operator theory (47-XX)
55 Integral equations (45-XX)
51 Systems theory; control (93-XX)
43 Mechanics of deformable solids (74-XX)
36 Operations research, mathematical programming (90-XX)
32 Global analysis, analysis on manifolds (58-XX)
29 Functional analysis (46-XX)
28 Real functions (26-XX)
25 Astronomy and astrophysics (85-XX)
24 Information and communication theory, circuits (94-XX)
23 Mechanics of particles and systems (70-XX)
22 Classical thermodynamics, heat transfer (80-XX)
15 Harmonic analysis on Euclidean spaces (42-XX)
11 Approximations and expansions (41-XX)
11 Computer science (68-XX)
9 Differential geometry (53-XX)
9 Relativity and gravitational theory (83-XX)
8 Special functions (33-XX)
8 Difference and functional equations (39-XX)
8 Statistics (62-XX)
7 General and overarching topics; collections (00-XX)
6 Geophysics (86-XX)
3 Topological groups, Lie groups (22-XX)
3 Measure and integration (28-XX)
3 Potential theory (31-XX)
2 History and biography (01-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 General topology (54-XX)
1 Algebraic geometry (14-XX)
1 Category theory; homological algebra (18-XX)
1 Group theory and generalizations (20-XX)
1 Integral transforms, operational calculus (44-XX)
1 Manifolds and cell complexes (57-XX)

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