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M\(^3\)AS. Mathematical Models & Methods in Applied Sciences

Short Title: Math. Models Methods Appl. Sci.
Publisher: World Scientific, Singapore
ISSN: 0218-2025; 1793-6314/e
Online: https://www.worldscientific.com/loi/m3as
Comments: Indexed cover-to-cover
Documents Indexed: 2,135 Publications (since 1991)
References Indexed: 1,756 Publications with 54,142 References.
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Latest Issues

31, No. 8 (2021)
31, No. 7 (2021)
31, No. 6 (2021)
31, No. 5 (2021)
31, No. 4 (2021)
31, No. 3 (2021)
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26, No. 14 (2016)
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26, No. 2 (2016)
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25, No. 14 (2015)
25, No. 13 (2015)
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25, No. 11 (2015)
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25, No. 8 (2015)
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25, No. 6 (2015)
25, No. 5 (2015)
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25, No. 3 (2015)
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25, No. 1 (2015)
24, No. 14 (2014)
24, No. 13 (2014)
24, No. 12 (2014)
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24, No. 9 (2014)
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...and 236 more Volumes
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Authors

45 Bellomo, Nicola
28 Brezzi, Franco
22 Soler, Juan S.
20 Ha, Seung-Yeal
19 Degond, Pierre
18 Carrillo de la Plata, José Antonio
17 Beirão da Veiga, Lourenço
17 Schwab, Christoph
15 Takizawa, Kenji
15 Tezduyar, Tayfun E.
14 Ciarlet, Philippe Gaston
14 Rajagopal, Kumbakonam Ramamani
13 Markowich, Peter Alexander
13 Süli, Endre E.
12 Barrett, John W.
12 Fasano, Antonio
12 Jüngel, Ansgar
12 Kawashima, Shuichi
12 Russo, Alessandro
12 Schmeiser, Christian
11 Bazilevs, Yuri
11 Ciarlet, Patrick jun.
11 Klar, Axel
11 Payne, Lawrence Edward
10 Banasiak, Jacek
10 Nochetto, Ricardo Horacio
10 Tao, Youshan
10 Winkler, Michael
9 Babuška, Ivo
9 Bernardi, Christine
9 Lachowicz, Mirosław
9 Piccoli, Benedetto
9 Zuazua, Enrique
8 Chaplain, Mark A. J.
8 Choi, Young-Pil
8 De Angelis, Elena
8 Delitala, Marcello
8 Feireisl, Eduard
8 Herty, Michael Matthias
8 Hughes, Thomas J. R.
8 Lenhart, Suzanne M.
8 Maday, Yvon
8 Marini, Luisa Donatella
8 Mielke, Alexander
8 Nieto, Juanjo
8 Oden, John Tinsley
8 Ortner, Christoph
8 Paolini, Maurizio
8 Stefanelli, Ulisse
7 Bellouquid, Abdelghani
7 Bertozzi, Andrea Louise
7 Cancès, Eric
7 Colli, Pierluigi
7 Coquel, Frédéric
7 Garcke, Harald
7 Knopoff, Damian A.
7 Ko, Dongnam
7 Le Bris, Claude
7 Li, Zhiping
7 Manzini, Gianmarco
7 Nishibata, Shinya
7 Novotný, Antonín
7 Panasenko, Grigory P.
7 Pavarino, Luca Franco
7 Perthame, Benoît
7 Pinnau, René
7 Preziosi, Luigi
7 Raviart, Pierre-Arnaud
7 Rocca, Elisabetta
7 Sangalli, Giancarlo
7 Toscani, Giuseppe
7 Zhu, Changjiang
6 Arnold, Douglas Norman
6 Auricchio, Ferdinando
6 Boffi, Daniele
6 Bonnet-Ben Dhia, Anne-Sophie
6 Buffa, Annalisa
6 Burman, Erik
6 Chapelle, Dominique
6 Conti, Sergio
6 de Socio, Luciano M.
6 Dolbeault, Jean
6 Duan, Renjun
6 Ducomet, Bernard
6 Fabrizio, Mauro
6 Giovangigli, Vincent
6 Goudon, Thierry
6 Grasselli, Maurizio
6 Jabin, Pierre-Emmanuel
6 Joly, Patrick
6 Lovadina, Carlo
6 Málek, Josef
6 Mauser, Norbert Julius
6 Mikelić, Andro
6 Orenga, Pierre
6 Pareschi, Lorenzo
6 Protopopescu, Vladimir A.
6 Pulvirenti, Mario
6 Quarteroni, Alfio M.
6 Schötzau, Dominik
...and 2,759 more Authors
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Fields

1,287 Partial differential equations (35-XX)
636 Fluid mechanics (76-XX)
578 Numerical analysis (65-XX)
405 Mechanics of deformable solids (74-XX)
387 Biology and other natural sciences (92-XX)
314 Statistical mechanics, structure of matter (82-XX)
199 Calculus of variations and optimal control; optimization (49-XX)
106 Optics, electromagnetic theory (78-XX)
94 Probability theory and stochastic processes (60-XX)
94 Classical thermodynamics, heat transfer (80-XX)
88 Ordinary differential equations (34-XX)
84 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
82 Integral equations (45-XX)
60 Operations research, mathematical programming (90-XX)
59 Systems theory; control (93-XX)
55 Operator theory (47-XX)
48 Quantum theory (81-XX)
45 Dynamical systems and ergodic theory (37-XX)
32 Geophysics (86-XX)
27 Mechanics of particles and systems (70-XX)
20 Functional analysis (46-XX)
16 Approximations and expansions (41-XX)
16 Global analysis, analysis on manifolds (58-XX)
15 Differential geometry (53-XX)
14 Computer science (68-XX)
14 Information and communication theory, circuits (94-XX)
11 General and overarching topics; collections (00-XX)
11 Real functions (26-XX)
11 Astronomy and astrophysics (85-XX)
10 Statistics (62-XX)
8 Harmonic analysis on Euclidean spaces (42-XX)
6 Integral transforms, operational calculus (44-XX)
6 Convex and discrete geometry (52-XX)
5 Difference and functional equations (39-XX)
4 History and biography (01-XX)
4 Potential theory (31-XX)
4 Special functions (33-XX)
3 Combinatorics (05-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Functions of a complex variable (30-XX)
2 Topological groups, Lie groups (22-XX)
2 Measure and integration (28-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Manifolds and cell complexes (57-XX)
1 Number theory (11-XX)
1 Algebraic geometry (14-XX)
1 General topology (54-XX)
1 Relativity and gravitational theory (83-XX)
1 Mathematics education (97-XX)

Publications by Year

Citations contained in zbMATH Open

1,909 Publications have been cited 26,823 times in 16,586 Documents Cited by Year
Toward a mathematical theory of Keller-Segel models of pattern formation in biological tissues. Zbl 1326.35397
Bellomo, N.; Bellouquid, A.; Tao, Y.; Winkler, M.
388
2015
Basic principles of virtual element methods. Zbl 1416.65433
Beirão da Veiga, L.; Brezzi, F.; Cangiani, A.; Manzini, G.; Marini, L. D.; Russo, A.
379
2013
Isogeometric analysis: Approximation, stability and error estimates for \(h\)-refined meshes. Zbl 1103.65113
Bazilevs, Y.; Beirão da Veiga, L.; Cottrell, J. A.; Hughes, T. J. R.; Sangalli, G.
316
2006
Two-phase binary fluids and immiscible fluids described by an order parameter. Zbl 0857.76008
Gurtin, Morton E.; Polignone, Debra; Viñals, Jorge
188
1996
The Hitchhiker’s guide to the virtual element method. Zbl 1291.65336
Beirão da Veiga, L.; Brezzi, Franco; Marini, L. D.; Russo, A.
184
2014
On the foundations of cancer modelling: selected topics, speculations, and perspectives. Zbl 1151.92014
Bellomo, N.; Li, N. K.; Maini, P. K.
178
2008
Choosing bubbles for advection-diffusion problems. Zbl 0819.65128
Brezzi, Franco; Russo, Alessandro
159
1994
Isogeometric collocation methods. Zbl 1226.65091
Auricchio, F.; Beirão da Veiga, L.; Hughes, T. J. R.; Reali, A.; Sangalli, G.
155
2010
Continuum limit of self-driven particles with orientation interaction. Zbl 1157.35492
Degond, Pierre; Motsch, Sébastien
154
2008
A nonlocal vector calculus, nonlocal volume-constrained problems, and nonlocal balance laws. Zbl 1266.26020
Du, Qiang; Gunzburger, Max; Lehoucq, R. B.; Zhou, Kun
146
2013
A family of mimetic finite difference methods on polygonal and polyhedral meshes. Zbl 1083.65099
Brezzi, Franco; Lipnikov, Konstantin; Simoncini, Valeria
141
2005
Coupled chemotaxis fluid model. Zbl 1191.92004
Lorz, Alexander
133
2010
Mathematical modelling of cancer cell invasion of tissue: the role of the urokinase plasminogen activation system. Zbl 1094.92039
Chaplain, M. A. J.; Lolas, G.
132
2005
Thermodynamically consistent, frame indifferent diffuse interface models for incompressible two-phase flows with different densities. Zbl 1242.76342
Abels, Helmut; Garcke, Harald; Grün, Günther
130
2012
Competing effects of attraction vs. repulsion in chemotaxis. Zbl 1403.35136
Tao, Youshan; Wang, Zhi-An
129
2013
A well-posedness theory in measures for some kinetic models of collective motion. Zbl 1218.35005
Cañizo, J. A.; Carrillo, J. A.; Rosado, J.
129
2011
Finite volume schemes for diffusion equations: introduction to and review of modern methods. Zbl 1291.65319
Droniou, Jerome
108
2014
Virtual element method for general second-order elliptic problems on polygonal meshes. Zbl 1332.65162
Beirão da Veiga, L.; Brezzi, F.; Marini, L. D.; Russo, A.
98
2016
Global existence results for the anisotropic Boussinesq system in dimension two. Zbl 1223.35249
Danchin, Raphaël; Paicu, Marius
98
2011
A unified approach to mimetic finite difference, hybrid finite volume and mixed finite volume methods. Zbl 1191.65142
Jérôme; Droniou; Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle
98
2010
Optimal convergence rates for the compressible Navier-Stokes equations with potential forces. Zbl 1122.35093
Duan, Renjun; Ukai, Seiji; Yang, Tong; Zhao, Huijiang
97
2007
On a hierarchy of approximate models for flows of incompressible fluids through porous solids. Zbl 1123.76066
Rajagopal, K. R.
96
2007
A constrained mixture model for growth and remodeling of soft tissues. Zbl 1021.74026
Humphrey, J. D.; Rajagopal, K. R.
94
2002
Error analysis of mixed-interpolated elements for Reissner-Mindlin plates. Zbl 0751.73053
Brezzi, Franco; Fortin, Michel; Stenberg, Rolf
93
1991
Traveling waves for a simple diffusive epidemic model. Zbl 0836.92023
Hosono, Yuzo; Ilyas, Bilal
91
1995
Space-time fluid-structure interaction methods. Zbl 1248.76118
Takizawa, Kenji; Tezduyar, Tayfun E.
89
2012
ALE-VMS and ST-VMS methods for computer modeling of wind-turbine rotor aerodynamics and fluid–structure interaction. Zbl 1404.76187
Bazilevs, Yuri; Hsu, Ming-Chen; Takizawa, Kenji; Tezduyar, Tayfun E.
87
2012
Semiclassical states for coupled Schrödinger-Maxwell equations: concentration around a sphere. Zbl 1074.81023
Ruiz, David
87
2005
On particle weighted methods and smooth particle hydrodynamics. Zbl 0938.76090
Vila, J. P.
86
1999
A class of nonlocal models for pedestrian traffic. Zbl 1248.35213
Colombo, Rinaldo M.; Garavello, Mauro; Lécureux-Mercier, Magali
84
2012
Stochastic mean-field limit: non-Lipschitz forces and swarming. Zbl 1273.82041
Bolley, François; Cañizo, José A.; Carrillo, José A.
82
2011
Long-term behaviour in a chemotaxis-fluid system with logistic source. Zbl 1354.35059
Lankeit, Johannes
81
2016
A statistical model of criminal behavior. Zbl 1180.35530
Short, M. B.; D’Orsogna, M. R.; Pasour, V. B.; Tita, G. E.; Brantingham, P. J.; Bertozzi, A. L.; Chayes, L. B.
80
2008
Numerical approximations for a three-component Cahn-Hilliard phase-field model based on the invariant energy quadratization method. Zbl 1393.80003
Yang, Xiaofeng; Zhao, Jia; Wang, Qi; Shen, Jie
80
2017
General diffuse-interface theories and an approach to predictive tumor growth modeling. Zbl 1186.92024
Oden, J. Tinsley; Hawkins, Andrea; Prudhomme, Serge
80
2010
On the closure of mass balance models for tumor growth. Zbl 1016.92016
Ambrosi, D.; Preziosi, L.
79
2002
Multiscale biological tissue models and flux-limited chemotaxis for multicellular growing systems. Zbl 1402.92065
Bellomo, Nicola; Bellouquid, Abdelghani; Nieto, Juan; Soler, Juan
79
2010
On fractional Choquard equations. Zbl 1323.35205
d’Avenia, Pietro; Siciliano, Gaetano; Squassina, Marco
78
2015
Magnetostatic and electrostatic problems in inhomogeneous anisotropic media with irregular boundary and mixed boundary conditions. Zbl 0910.35123
Fernandes, Paolo; Gilardi, Gianni
77
1997
A virtual element method for the Steklov eigenvalue problem. Zbl 1330.65172
Mora, David; Rivera, Gonzalo; Rodríguez, Rodolfo
76
2015
\(hp\)-version discontinuous Galerkin methods on polygonal and polyhedral meshes. Zbl 1298.65167
Cangiani, Andrea; Georgoulis, Emmanuil H.; Houston, Paul
76
2014
Stability analysis for the virtual element method. Zbl 1378.65171
Beirão da Veiga, Lourenço; Lovadina, Carlo; Russo, Alessandro
72
2017
Isogeometric divergence-conforming \(B\)-splines for the steady Navier-Stokes equations. Zbl 1383.76337
Evans, John A.; Hughes, Thomas J. R.
71
2013
Methods for FSI modeling of spacecraft parachute dynamics and cover separation. Zbl 1261.76013
Takizawa, Kenji; Montes, Darren; Fritze, Matthew; McIntyre, Spenser; Boben, Joseph; Tezduyar, Tayfun E.
69
2013
A macroscopic crowd motion model of gradient flow type. Zbl 1223.35116
Maury, Bertrand; Roudneff-Chupin, Aude; Santambrogio, Filippo
69
2010
Mathematical modelling of cancer invasion of tissue: the role and effect of nonlocal interactions. Zbl 1171.35066
Szymańska, Zuzanna; Rodrigo, Cristian Morales; Lachowicz, Mirosław; Chaplain, Mark A. J.
68
2009
Mathematical topics on the modelling complex multicellular systems and tumor immune cells competition. Zbl 1060.92029
Bellomo, N.; Bellouquid, A.; Delitala, M.
67
2004
Multiscale space-time methods for thermo-fluid analysis of a ground vehicle and its tires. Zbl 1325.76139
Takizawa, Kenji; Tezduyar, Tayfun E.; Kuraishi, Takashi
67
2015
ST and ALE-VMS methods for patient-specific cardiovascular fluid mechanics modeling. Zbl 1296.76113
Takizawa, Kenji; Bazilevs, Yuri; Tezduyar, Tayfun E.; Long, Christopher C.; Marsden, Alison L.; Schjodt, Kathleen
67
2014
Global weak solutions for a Vlasov-Fokker-Planck/Navier-Stokes system of equations. Zbl 1136.76042
Mellet, A.; Vasseur, A.
66
2007
On the mathematical theory of the dynamics of swarms viewed as complex systems. Zbl 1242.92065
Bellomo, N.; Soler, J.
65
2012
On the difficult interplay between life, “complexity”, and mathematical sciences. Zbl 1315.35137
Bellomo, N.; Knopoff, D.; Soler, J.
64
2013
Challenges and directions in computational fluid-structure interaction. Zbl 1261.76025
Bazilevs, Yuri; Takizawa, Kenji; Tezduyar, Tayfun E.
64
2013
Another approach to linearized elasticity and a new proof of Korn’s inequality. Zbl 1084.74006
Ciarlet, Philippe G.; Ciarlet, Patrick jun.
64
2005
Structural mechanics modeling and FSI simulation of wind turbines. Zbl 1261.74011
Korobenko, A.; Hsu, M.-C.; Akkerman, I.; Tippmann, J.; Bazilevs, Y.
63
2013
The Fokker-Planck asymptotics of the Boltzmann collision operator in the Coulomb case. Zbl 0755.35091
Degond, P.; Lucquin-Desreux, B.
62
1992
Generalized kinetic (Boltzmann) models: mathematical structures and applications. Zbl 1174.82325
Arlotti, L.; Bellomo, N.; De Angelis, E.
62
2002
Space-time VMS method for flow computations with slip interfaces (ST-SI). Zbl 1329.76345
Takizawa, Kenji; Tezduyar, Tayfun E.; Mochizuki, Hiroki; Hattori, Hitoshi; Mei, Sen; Pan, Linqi; Montel, Kenneth
62
2015
\(L^p\)-theory for vector potentials and Sobolev’s inequalities for vector fields: application to the Stokes equations with pressure boundary conditions. Zbl 1260.35101
Amrouche, Chérif; Seloula, Nour El Houda
62
2013
Energy norm a posteriori error estimation of \(hp\)-adaptive discontinuous Galerkin methods for elliptic problems. Zbl 1116.65115
Houston, Paul; Schötzau, Dominik; Wihler, Thomas P.
62
2007
Existence and regularity of solutions and the stability of the rest state for fluids with shear dependent viscosity. Zbl 0838.76005
Málek, J.; Rajagopal, K. R.; Růžička, M.
61
1995
Convergence of a cancer invasion model to a logistic chemotaxis model. Zbl 1263.35204
Hillen, Thomas; Painter, Kevin J.; Winkler, Michael
61
2013
Decay property of regularity-loss type for dissipative Timoshenko system. Zbl 1153.35013
Ide, Kentaro; Haramoto, Kazuo; Kawashima, Shuichi
60
2008
Discontinuous Galerkin methods for first-order hyperbolic problems. Zbl 1070.65117
Brezzi, F.; Marini, L. D.; Süli, E.
60
2004
A posteriori error estimates for the finite element approximation of eigenvalue problems. Zbl 1072.65144
Durán, Ricardo G.; Padra, Claudio; Rodríguez, Rodolfo
59
2003
Gradient schemes: a generic framework for the discretisation of linear, nonlinear and nonlocal elliptic and parabolic equations. Zbl 1281.65136
Droniou, Jerome; Eymard, Robert; Gallouet, Thierry; Herbin, Raphaele
59
2013
A basic convergence result for conforming adaptive finite elements. Zbl 1153.65111
Morin, Pedro; Siebert, Kunibert G.; Veeser, Andreas
59
2008
Multicellular biological growing systems: hyperbolic limits towards macroscopic description. Zbl 1135.92009
Bellomo, N.; Bellouquid, A.; Nieto, J.; Soler, J.
58
2007
On the optimal polynomial approximation of stochastic PDEs by Galerkin and collocation methods. Zbl 1262.65009
Beck, Joakim; Tempone, Raul; Nobile, Fabio; Tamellini, Lorenzo
58
2012
On the inviscid limit of a model for crack propagation. Zbl 1151.49014
Knees, Dorothee; Mielke, Alexander; Zanini, Chiara
57
2008
New perspectives on polygonal and polyhedral finite element methods. Zbl 1291.65322
Manzini, Gianmarco; Russo, Alessandro; Sukumar, N.
57
2014
Analysis of the Navier-Stokes-Nernst-Planck-Poisson system. Zbl 1229.35215
Schmuck, Markus
57
2009
Self-propelled interacting particle systems with roosting force. Zbl 1197.92052
Carrillo, José A.; Klar, Axel; Martin, Stephan; Tiwari, Sudarshan
57
2010
Convergence of mimetic finite difference method for diffusion problems on polyhedral meshes with curved faces. Zbl 1094.65111
Brezzi, Franco; Lipnikov, Konstantin; Shashkov, Mikhail
57
2006
Mathematical methods and tools of kinetic theory towards modelling complex biological systems. Zbl 1093.82016
Bellouquid, Abdelghani; Delitala, Marcello
56
2005
Space-time VMS methods for modeling of incompressible flows at high Reynolds numbers. Zbl 1261.76037
Takizawa, Kenji; Montes, Darren; McIntyre, Spenser; Tezduyar, Tayfun E.
55
2013
Global small-data solutions of a two-dimensional chemotaxis system with rotational flux terms. Zbl 1322.35054
Li, Tong; Suen, Anthony; Winkler, Michael; Xue, Chuan
54
2015
On the modelling crowd dynamics from scaling to hyperbolic macroscopic models. Zbl 1198.92036
Bellomo, Nicola; Dogbé, Christian
54
2008
A vanishing viscosity approach to a rate-independent damage model. Zbl 1262.74030
Knees, Dorothee; Rossi, Riccarda; Zanini, Chiara
54
2013
Numerical modeling of two-phase flows using the two-fluid two-pressure approach. Zbl 1177.76428
Gallouët, Thierry; Hérard, Jean-Marc; Seguin, Nicolas
54
2004
Decay property of regularity-loss type and application to some nonlinear hyperbolic–elliptic system. Zbl 1108.35014
Hosono, Takafumi; Kawashima, Shuichi
53
2006
The classical limit of a self-consistent quantum-Vlasov equation in 3D. Zbl 0772.35061
Markowich, Peter A.; Mauser, Norbert J.
52
1993
Some results on partial differential equations and Asian options. Zbl 1034.35166
Barucci, E.; Polidoro, S.; Vespri, V.
52
2001
On the spatially homogeneous Landau equation for Maxwellian molecules. Zbl 0957.82029
Villani, C.
52
1998
Mathematical analysis and challenges arising from models of tumor growth. Zbl 1135.92013
Friedman, Avner
52
2007
Eigenelements of a general aggregation-fragmentation model. Zbl 1201.35086
Doumic Jauffret, Marie; Gabriel, Pierre
52
2010
A well-balanced scheme using non-conservative products designed for hyperbolic systems of conservation laws with source terms. Zbl 1018.65108
Gosse, Laurent
51
2001
A parallel solver for reaction-diffusion systems in computational electrocardiology. Zbl 1068.92024
Colli Franzone, Piero; Pavarino, Luca F.
51
2004
Sharp regularity coefficient estimates for complex-valued acoustic and elastic Helmholtz equations. Zbl 1134.35317
Cummings, Peter; Feng, Xiaobing
51
2006
Rate-independent damage processes in nonlinear elasticity. Zbl 1094.35068
Mielke, Alexander; Roubíček, Tomáš
51
2006
Rectangular mixed finite elements for elasticity. Zbl 1077.74044
Arnold, Douglas N.; Awanou, Gerard
50
2005
On the mathematical theory of vehicular traffic flow. I: Fluid dynamic and kinetic modelling. Zbl 1041.76061
Bellomo, N.; Delitala, M.; Coscia, V.
50
2002
ALE-VMS formulation for stratified turbulent incompressible flows with applications. Zbl 1329.76050
Bazilevs, Y.; Korobenko, A.; Yan, J.; Pal, A.; Gohari, S. M. I.; Sarkar, S.
50
2015
Computation of mean field equilibria in economics. Zbl 1193.91018
Lachapelle, Aime; Salomon, Julien; Turinici, Gabriel
50
2010
On the Oberbeck-Boussinesq approximation. Zbl 0883.76078
Rajagopal, K. R.; Ruzicka, M.; Srinivasa, A. R.
49
1996
Maximum entropy for reduced moment problems. Zbl 1012.44005
Junk, Michael
48
2000
Nonconforming mixed elements for elasticity. Zbl 1057.74036
Arnold, Douglas N.; Winther, Ragnar
48
2003
On the asymptotic theory from microscopic to macroscopic growing tissue models: an overview with perspectives. Zbl 1328.92023
Bellomo, N.; Bellouquid, A.; Nieto, J.; Soler, J.
48
2012
Convergence of numerical schemes for parabolic equations arising in finance theory. Zbl 0822.65056
Barles, G.; Daher, Ch.; Romano, M.
48
1995
Decay property of regularity-loss type and nonlinear effects for dissipative Timoshenko system. Zbl 1160.35346
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2008
Quantifying the hydrodynamic limit of Vlasov-type equations with alignment and nonlocal forces. Zbl 07423797
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1
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A multiscale model of virus pandemic: heterogeneous interactive entities in a globally connected world. Zbl 1451.92276
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9
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Global radial renormalized solution to a producer-scrounger model with singular sensitivities. Zbl 1452.35215
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5
2020
The Cauchy problem for an Oldroyd-B model in three dimensions. Zbl 1434.76104
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4
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Global generalized solutions to a forager-exploiter model with superlinear degradation and their eventual regularity properties. Zbl 1450.35138
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4
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Mathematical analysis and simulation study of a phase-field model of prostate cancer growth with chemotherapy and antiangiogenic therapy effects. Zbl 1444.92040
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4
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Global bounded solution of the higher-dimensional forager-exploiter model with/without growth sources. Zbl 1453.35171
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4
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Element-splitting-invariant local-length-scale calculation in B-spline meshes for complex geometries. Zbl 1451.65140
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4
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Coarse-graining via EDP-convergence for linear fast-slow reaction systems. Zbl 1454.60113
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4
2020
Convergence of a first-order consensus-based global optimization algorithm. Zbl 1467.90040
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4
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Global boundedness and asymptotic behavior in a quasilinear attraction-repulsion chemotaxis model with nonlinear signal production and logistic-type source. Zbl 1466.35046
Ren, Guoqiang; Liu, Bin
4
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Critical thresholds in one-dimensional damped Euler-Poisson systems. Zbl 1453.35145
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3
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Polynomial preserving virtual elements with curved edges. Zbl 1444.65066
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3
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Coupling kinetic theory approaches for pedestrian dynamics and disease contagion in a confined environment. Zbl 1451.35225
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3
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On a SAV-MAC scheme for the Cahn-Hilliard-Navier-Stokes phase-field model and its error analysis for the corresponding Cahn-Hilliard-Stokes case. Zbl 1471.65106
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Active particles methods and challenges in behavioral systems. Zbl 1454.35392
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2
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Asymptotic behavior and control of a “Guidance by repulsion” model. Zbl 1451.93306
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2
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Quantitative Anderson localization of Schrödinger eigenstates under disorder potentials. Zbl 1444.65064
Altmann, Robert; Henning, Patrick; Peterseim, Daniel
2
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Multilevel approximation of Gaussian random fields: fast simulation. Zbl 1448.60110
Herrmann, Lukas; Kirchner, Kristin; Schwab, Christoph
2
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Adaptive isogeometric boundary element methods with local smoothness control. Zbl 07205673
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2
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Stability of the composite wave for compressible Navier-Stokes/Allen-Cahn system. Zbl 1442.35348
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2
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Multiple asymptotics of kinetic equations with internal states. Zbl 1450.35034
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2
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Global solvability and eventual smoothness in a chemotaxis-fluid system with weak logistic-type degradation. Zbl 1451.92065
Wang, Yulan
2
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From particles to firms: on the kinetic theory of climbing up evolutionary landscapes. Zbl 1445.82020
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2
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Global existence of weak solutions to the incompressible Vlasov-Navier-Stokes system coupled to convection-diffusion equations. Zbl 1450.35211
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2
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Social climbing and Amoroso distribution. Zbl 1451.35222
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2
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Parameter-robust Uzawa-type iterative methods for double saddle point problems arising in Biot’s consolidation and multiple-network poroelasticity models. Zbl 1471.65143
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2
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A kinetic theory approach for modelling tumour and macrophages heterogeneity and plasticity during cancer progression. Zbl 1453.92072
Eftimie, R.; Gibelli, L.
1
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Stochastic persistency of nematic alignment state for the Justh-Krishnaprasad model with additive white noises. Zbl 1470.70030
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1
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Well-posedness and \(H(\mathrm{div})\)-conforming finite element approximation of a linearised model for inviscid incompressible flow. Zbl 1444.65065
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1
2020
An approach to congestion analysis in crowd dynamics models. Zbl 1471.90054
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1
2020
Asymptotic limit of a spatially-extended mean-field FitzHugh-Nagumo model. Zbl 1444.35139
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1
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Doubly nonlinear stochastic evolution equations. Zbl 1451.35268
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1
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Convex integration solutions for the geometrically nonlinear two-well problem with higher Sobolev regularity. Zbl 1434.74090
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On the wave turbulence theory for stratified flows in the ocean. Zbl 1442.35461
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1
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Asymptotic dynamics on a chemotaxis-Navier-Stokes system with nonlinear diffusion and inhomogeneous boundary conditions. Zbl 1452.35228
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1
2020
Brownian fluctuations of flame fronts with small random advection. Zbl 1450.35307
Henderson, Christopher; Souganidis, Panagiotis E.
1
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Construction of boundary conditions for hyperbolic relaxation approximations. I: The linearized Suliciu model. Zbl 1450.35166
Zhou, Yizhou; Yong, Wen-An
1
2020
A phase-field-based graded-material topology optimization with stress constraint. Zbl 1444.74047
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1
2020
On weak solutions to a dissipative Baer-Nunziato-type system for a mixture of two compressible heat conducting gases. Zbl 1450.35218
Kwon, Young-Sam; Novotny, Antonin; Cheng, C. H. Arthur
1
2020
Recent results and challenges in behavioral systems. Zbl 07291075
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1
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Qualitative features of a nonlinear, nonlocal, agent-based PDE model with applications to homelessness. Zbl 1455.35262
Lindstrom, Michael R.; Bertozzi, Andrea L.
1
2020
The evolution of communication mechanisms in self-organised ecological aggregations: impact on pattern formation. Zbl 1457.92187
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1
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Nematic alignment of self-propelled particles: from particle to macroscopic dynamics. Zbl 1451.35218
Degond, Pierre; Merino-Aceituno, Sara
1
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Some aspects of the inertial spin model for flocks and related kinetic equations. Zbl 1462.82055
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1
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Preconditioning the EFIE on screens. Zbl 1451.78044
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1
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The existence and stability of spike solutions for a chemotaxis system modeling crime pattern formation. Zbl 1455.35072
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1
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Instability of the abstract Rayleigh-Taylor problem and applications. Zbl 1462.76070
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1
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Convergence of knowledge in a stochastic cultural evolution model with population structure, social learning and credibility biases. Zbl 1462.91016
Billiard, Sylvain; Derex, Maxime; Maisonneuve, Ludovic; Rey, Thomas
1
2020
Consensus-based optimization on hypersurfaces: well-posedness and mean-field limit. Zbl 1467.90039
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1
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Vehicular traffic, crowds, and swarms: from kinetic theory and multiscale methods to applications and research perspectives. Zbl 1431.35211
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47
2019
Methods for computation of flow-driven string dynamics in a pump and residence time. Zbl 1425.76139
Kanai, Taro; Takizawa, Kenji; Tezduyar, Tayfun E.; Komiya, Kenji; Kaneko, Masayuki; Hirota, Kyohei; Nohmi, Motohiko; Tsuneda, Tomoki; Kawai, Masahito; Isono, Miho
19
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Large time behavior in a forager-exploiter model with different taxis strategies for two groups in search of food. Zbl 1425.35200
Tao, Youshan; Winkler, Michael
18
2019
Global generalized solutions to a multi-dimensional doubly tactic resource consumption model accounting for social interactions. Zbl 1428.35612
Winkler, Michael
17
2019
Space-time isogeometric flow analysis with built-in Reynolds-equation limit. Zbl 1425.76142
Kuraishi, Takashi; Takizawa, Kenji; Tezduyar, Tayfun E.
17
2019
A stabilized ALE method for computational fluid-structure interaction analysis of passive morphing in turbomachinery. Zbl 1425.76134
Castorrini, Alessio; Corsini, Alessandro; Rispoli, Franco; Takizawa, Kenji; Tezduyar, Tayfun E.
14
2019
On the asymptotic stability of stratified solutions for the 2D Boussinesq equations with a velocity damping term. Zbl 1425.35149
Castro, Ángel; Córdoba, Diego; Lear, Daniel
14
2019
A multiscale view of nonlinear diffusion in biology: from cells to tissues. Zbl 1427.35291
Burini, D.; Chouhad, N.
11
2019
Human behavior and lognormal distribution. A kinetic description. Zbl 1427.35280
Gualandi, Stefano; Toscani, Giuseppe
10
2019
Immersogeometric analysis of compressible flows with application to aerodynamic simulation of rotorcraft. Zbl 1425.35140
Xu, Fei; Bazilevs, Yuri; Hsu, Ming-Chen
10
2019
Stationary solutions to a chemotaxis-consumption model with realistic boundary conditions for the oxygen. Zbl 1425.35196
Braukhoff, Marcel; Lankeit, Johannes
10
2019
Acoustic transmission problems: wavenumber-explicit bounds and resonance-free regions. Zbl 1414.35057
Moiola, Andrea; Spence, Euan A.
10
2019
Sharp error estimates for spline approximation: explicit constants, \(n\)-widths, and eigenfunction convergence. Zbl 1428.41010
Sande, Espen; Manni, Carla; Speleers, Hendrik
9
2019
Crystallization in the hexagonal lattice for ionic dimers. Zbl 1447.82032
Friedrich, Manuel; Kreutz, Leonard
9
2019
Evolutionary dynamics of cooperation in a population with probabilistic corrupt enforcers and violators. Zbl 1428.91005
Liu, Linjie; Chen, Xiaojie; Szolnoki, Attila
9
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The Jordan-Moore-Gibson-Thompson equation: well-posedness with quadratic gradient nonlinearity and singular limit for vanishing relaxation time. Zbl 1427.35206
Kaltenbacher, Barbara; Nikolić, Vanja
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2019
Regular solutions to the fractional Euler alignment system in the Besov spaces framework. Zbl 1411.35223
Danchin, Raphaël; Mucha, Piotr B.; Peszek, Jan; Wróblewski, Bartosz
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2019
Computational analysis methods for complex unsteady flow problems. Zbl 1425.76128
Bazilevs, Yuri; Takizawa, Kenji; Tezduyar, Tayfun E.
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Crack problem within the context of implicitly constituted quasi-linear viscoelasticity. Zbl 1411.35249
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Learning interacting particle systems: diffusion parameter estimation for aggregation equations. Zbl 1412.65171
Huang, Hui; Liu, Jian-Guo; Lu, Jianfeng
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Space-time fractional diffusion in cell movement models with delay. Zbl 1411.92036
Estrada-Rodriguez, Gissell; Gimperlein, Heiko; Painter, Kevin J.; Stocek, Jakub
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2019
Superconvergent gradient recovery for virtual element methods. Zbl 1427.65360
Guo, Hailong; Xie, Cong; Zhao, Ren
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2019
Emergent behaviors of the Cucker-Smale ensemble under attractive-repulsive couplings and Rayleigh frictions. Zbl 1433.34064
Fang, Di; Ha, Seung-Yeal; Jin, Shi
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Geometry equilibration of crystalline defects in quantum and atomistic descriptions. Zbl 1469.82032
Chen, Huajie; Nazar, Faizan Q.; Ortner, Christoph
5
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Emergent behaviors of continuous and discrete thermomechanical Cucker-Smale models on general digraphs. Zbl 1464.34068
Dong, Jiu-Gang; Ha, Seung-Yeal; Kim, Doheon
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Leader formation with mean-field birth and death models. Zbl 1430.35238
Albi, Giacomo; Bongini, Mattia; Rossi, Francesco; Solombrino, Francesco
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Analytical validation of the Young-Dupré law for epitaxially-strained thin films. Zbl 1427.74115
Davoli, Elisa; Piovano, Paolo
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Minimal-time mean field games. Zbl 1428.91006
Mazanti, Guilherme; Santambrogio, Filippo
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Multilevel approximation of parametric and stochastic PDES. Zbl 1427.65386
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Long-time behavior of non-local in time Fokker-Planck equations via the entropy method. Zbl 1411.35272
Kemppainen, Jukka; Zacher, Rico
5
2019
Exponential boundary feedback stabilization of a shock steady state for the inviscid Burgers equation. Zbl 1418.35265
Bastin, Georges; Coron, Jean-Michel; Hayat, Amaury; Shang, Peipei
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Social dynamics models with time-varying influence. Zbl 1428.34069
McQuade, Sean; Piccoli, Benedetto; Duteil, Nastassia Pouradier
4
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Modeling and simulation of bridge-section buffeting response in turbulent flow. Zbl 1425.76137
Helgedagsrud, Tore A.; Bazilevs, Yuri; Mathisen, Kjell M.; Yan, Jinhui; Øseth, Ole A.
4
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Asymptotic behavior of solutions to a tumor angiogenesis model with chemotaxis-haptotaxis. Zbl 1427.35295
Pang, Peter Y. H.; Wang, Yifu
4
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Regularity and \(hp\) discontinuous Galerkin finite element approximation of linear elliptic eigenvalue problems with singular potentials. Zbl 1431.65209
Maday, Yvon; Marcati, Carlo
4
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On long-time asymptotics for viscous hydrodynamic models of collective behavior with damping and nonlocal interactions. Zbl 1411.35224
Carrillo, José A.; Wróblewska-Kamińska, Aneta; Zatorska, Ewelina
4
2019
Weak-strong uniqueness of renormalized solutions to reaction-cross-diffusion systems. Zbl 1408.35070
Chen, Xiuqing; Jüngel, Ansgar
4
2019
Dynamics and control for multi-agent networked systems: a finite-difference approach. Zbl 1428.93017
Biccari, Umberto; Ko, Dongnam; Zuazua, Enrique
3
2019
Local and nonlocal phase-field models of tumor growth and invasion due to ECM degradation. Zbl 1425.35075
Fritz, Marvin; Lima, Ernesto A. B. F.; Nikolić, Vanja; Oden, J. Tinsley; Wohlmuth, Barbara
3
2019
Analysis of an atomistic model for anti-plane fracture. Zbl 1425.82026
Buze, Maciej; Hudson, Thomas; Ortner, Christoph
3
2019
Profile of a touch-down solution to a nonlocal MEMS model. Zbl 1425.35116
Duong, Giao Ky; Zaag, Hatem
3
2019
An entropy minimization approach to second-order variational mean-field games. Zbl 07139235
Benamou, Jean-David; Carlier, Guillaume; Di Marino, Simone; Nenna, Luca
3
2019
On the unsteady Darcy-Forchheimer-Brinkman equation in local and nonlocal tumor growth models. Zbl 1425.35076
Fritz, Marvin; Lima, Ernesto A. B. F.; Tinsley Oden, J.; Wohlmuth, Barbara
3
2019
On well-posedness of Ericksen-Leslie’s parabolic-hyperbolic liquid crystal model in compressible flow. Zbl 1414.35168
Jiang, Ning; Luo, Yi-Long; Tang, Shaojun
3
2019
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92 Bellomo, Nicola
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81 Degond, Pierre
80 Winkler, Michael
76 Hughes, Thomas J. R.
71 Tezduyar, Tayfun E.
70 Takizawa, Kenji
65 Ciarlet, Philippe Gaston
58 Brezzi, Franco
54 Stefanelli, Ulisse
53 Schwab, Christoph
52 Perthame, Benoît
51 Mu, Chunlai
49 Buffa, Annalisa
48 Yang, Xiaofeng
46 Choi, Young-Pil
46 Tao, Youshan
45 Jüngel, Ansgar
43 Du, Qiang
43 Reali, Alessandro
42 Manzini, Gianmarco
41 Grasselli, Maurizio
41 Hayat, Tasawar
41 Quarteroni, Alfio M.
41 Sangalli, Giancarlo
40 Russo, Alessandro
39 Garcke, Harald
39 Roubíček, Tomáš
38 Panasenko, Grigory P.
38 Ruiz-Baier, Ricardo
37 Miranville, Alain M.
36 Banasiak, Jacek
36 Calo, Victor Manuel
36 Droniou, Jérôme
36 Hsu, Ming-Chen
36 Lovadina, Carlo
36 Neff, Patrizio
36 Rajagopal, Kumbakonam Ramamani
36 Süli, Endre E.
35 Jin, Shi
35 Li, Yeping
35 Soler, Juan S.
35 Wang, Zhian
34 Ciarlet, Patrick jun.
34 Marini, Luisa Donatella
34 Nicaise, Serge
34 Rocca, Elisabetta
34 Tan, Zhong
33 Antonietti, Paola Francesca
33 Chaplain, Mark A. J.
32 Amrouche, Chérif
32 Gwiazda, Piotr
32 Pareschi, Lorenzo
32 Praetorius, Dirk
31 Gatica, Gabriel N.
31 Hérard, Jean-Marc
31 Markowich, Peter Alexander
31 Toscani, Giuseppe
31 Zhao, Huijiang
30 Kawashima, Shuichi
30 Lachowicz, Mirosław
30 Pavarino, Luca Franco
29 Auricchio, Ferdinando
29 Delitala, Marcello
29 Di Pietro, Daniele Antonio
29 Evans, John A.
29 Mielke, Alexander
29 Shu, Chi-Wang
28 Abdulle, Assyr
28 Carstensen, Carsten
28 Casado-Díaz, Juan
28 Colli, Pierluigi
28 Herty, Michael Matthias
28 Klar, Axel
28 Scacchi, Simone
28 Wang, Shu
28 Wohlmuth, Barbara I.
28 Zhu, Changjiang
27 Bulíček, Miroslav
27 Bürger, Raimund
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27 Giani, Stefano
27 Mardare, Cristinel
27 Migórski, Stanisław
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27 Vauchelet, Nicolas
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27 Zuazua, Enrique
26 Conti, Sergio
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967 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
912 Computer Methods in Applied Mechanics and Engineering
596 Journal of Computational Physics
592 Journal of Differential Equations
520 Journal of Mathematical Analysis and Applications
419 Computers & Mathematics with Applications
320 Journal of Computational and Applied Mathematics
283 Journal of Scientific Computing
273 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
269 Archive for Rational Mechanics and Analysis
262 Nonlinear Analysis. Real World Applications
230 Mathematical Methods in the Applied Sciences
225 Applied Mathematics and Computation
225 SIAM Journal on Mathematical Analysis
221 ZAMP. Zeitschrift für angewandte Mathematik und Physik
218 Numerische Mathematik
216 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
206 Mathematical and Computer Modelling
185 Mathematics of Computation
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178 SIAM Journal on Numerical Analysis
163 Computational Mechanics
160 Applicable Analysis
160 Journal of Mathematical Physics
156 Discrete and Continuous Dynamical Systems. Series B
154 Computers and Fluids
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148 Comptes Rendus. Mathématique. Académie des Sciences, Paris
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140 Discrete and Continuous Dynamical Systems
137 Journal of Statistical Physics
114 Calculus of Variations and Partial Differential Equations
112 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
111 Kinetic and Related Models
108 SIAM Journal on Applied Mathematics
104 Numerical Methods for Partial Differential Equations
103 Journal of Mathematical Biology
103 Journal of Theoretical Biology
100 Communications in Mathematical Physics
93 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
91 Acta Applicandae Mathematicae
90 Journal of Mathematical Fluid Mechanics
89 Applied Mathematical Modelling
88 Multiscale Modeling & Simulation
85 Journal of Elasticity
82 International Journal for Numerical Methods in Engineering
82 Discrete and Continuous Dynamical Systems. Series S
80 Communications in Partial Differential Equations
80 Communications on Pure and Applied Analysis
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60 Calcolo
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57 NoDEA. Nonlinear Differential Equations and Applications
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51 SIAM Journal on Control and Optimization
51 European Journal of Applied Mathematics
51 Communications in Nonlinear Science and Numerical Simulation
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31 Chinese Annals of Mathematics. Series B
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38 Measure and integration (28-XX)
28 Combinatorics (05-XX)
25 Relativity and gravitational theory (83-XX)
21 Functions of a complex variable (30-XX)
17 Special functions (33-XX)
13 Convex and discrete geometry (52-XX)
10 History and biography (01-XX)
10 Several complex variables and analytic spaces (32-XX)
7 Number theory (11-XX)
7 Topological groups, Lie groups (22-XX)
6 Abstract harmonic analysis (43-XX)
6 General topology (54-XX)
5 Manifolds and cell complexes (57-XX)
4 Mathematics education (97-XX)
3 Field theory and polynomials (12-XX)
3 Group theory and generalizations (20-XX)
2 Mathematical logic and foundations (03-XX)
2 Algebraic geometry (14-XX)
2 Category theory; homological algebra (18-XX)
2 Sequences, series, summability (40-XX)
2 Geometry (51-XX)
1 Nonassociative rings and algebras (17-XX)
1 Algebraic topology (55-XX)

Citations by Year