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## Laurençot, Philippe

Compute Distance To:
 Author ID: laurencot.philippe Published as: Laurençot, Philippe; Laurençot, Ph.; Laurencot, Philippe; Laurençot, P. Homepage: http://www.math.univ-toulouse.fr/~laurenco/ External Links: MGP
 Documents Indexed: 202 Publications since 1992, including 2 Books Reviewing Activity: 206 Reviews
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#### Co-Authors

 37 single-authored 31 Walker, Christoph 13 Benachour, Said 12 Iagar, Razvan Gabriel 11 Wrzosek, Dariusz M. 10 Mischler, Stéphane 9 Escher, Joachim 8 Colli, Pierluigi 8 Feireisl, Eduard 7 Simondon, Frédérique 6 Karch, Grzegorz 6 Matioc, Bogdan-Vasile 5 Biler, Piotr 5 Cieślak, Tomasz 5 Escobedo Martínez, Miguel 5 Filbet, Francis 5 Stinner, Christian 4 Blanchet, Adrien 4 Carrillo de la Plata, José Antonio 4 Fournier, Nicolas G. 4 Giri, Ankik Kumar 4 Hillairet, Matthieu 4 Niethammer, Barbara 4 Schmitt, Didier 3 Nadzieja, Tadeusz 3 Perthame, Benoît 3 Souplet, Philippe 2 Banasiak, Jacek 2 Herrmann, Michael 2 Hilhorst, Danielle 2 Krejčí, Pavel 2 Krzyżanowski, Piotr 2 Lamb, Wilson 2 Mizoguchi, Noriko 2 Nik, Katerina 2 Rosado, Jesús 2 Stefanelli, Ulisse 2 van Roessel, Henry J. 2 Vazquez, Juan Luis 1 Ait Hammou Oulhaj, Ahmed 1 Bagland, Véronique 1 Barik, Prasanta Kumar 1 Barles, Guy 1 Bartier, Jean-Philippe 1 Basdevant, Anne-Laure 1 Ben-Artzi, Matania 1 Bonetti, Elena 1 Boritchev, Alexandre 1 Burger, Martin 1 Cancès, Clément 1 Cañizo, José Alfredo 1 Chainais-Hillairet, Claire 1 Dăbuleanu-Hapca, Simona 1 Dupaix, Cédric 1 Gallay, Thierry 1 Gilardi, Gianni 1 Horn, Werner 1 Ishige, Kazuhiro 1 Jaffard, Stéphane 1 Jiang, Jie 1 Kinderlehrer, David 1 Kitavtsev, Georgy 1 Koch, Herbert 1 Kowalczyk, Michał 1 Lachowicz, Mirosław 1 Lisini, Stefano 1 Mikelić, Andro 1 Morales-Rodrigo, Cristian 1 Nguyen, Thanh Nam 1 Norris, James R. 1 Novick-Cohen, Amy 1 Petzeltová, Hana 1 Rau, Clément 1 Schimperna, Giulio 1 Sonnendrücker, Eric 1 Sprekels, Jürgen 1 Touré, Hamidou 1 Trescases, Ariane 1 Velázquez, Juan J. L. 1 Warnecke, Gerald G.
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#### Serials

 11 Journal of Differential Equations 10 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 10 SIAM Journal on Mathematical Analysis 7 Communications in Partial Differential Equations 5 Nonlinearity 5 Asymptotic Analysis 4 Archive for Rational Mechanics and Analysis 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 4 Comptes Rendus de l’Académie des Sciences. Série I 4 Interfaces and Free Boundaries 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Journal of Mathematical Analysis and Applications 3 Journal of Statistical Physics 3 Mathematical Methods in the Applied Sciences 3 Colloquium Mathematicum 3 Indiana University Mathematics Journal 3 Journal of Functional Analysis 3 Mathematische Annalen 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Quarterly of Applied Mathematics 3 Physica D 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Journal of Dynamics and Differential Equations 3 Calculus of Variations and Partial Differential Equations 3 NoDEA. Nonlinear Differential Equations and Applications 3 Journal of Evolution Equations 2 Communications in Mathematical Physics 2 Journal d’Analyse Mathématique 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Journal of the London Mathematical Society. Second Series 2 Advances in Mathematical Sciences and Applications 2 Advances in Differential Equations 2 Discrete and Continuous Dynamical Systems 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Journal of Elliptic and Parabolic Equations 2 Monographs and Research Notes in Mathematics 1 Journal of Mathematical Biology 1 Rocky Mountain Journal of Mathematics 1 Applied Mathematics and Optimization 1 Archiv der Mathematik 1 Bulletin of the London Mathematical Society 1 Czechoslovak Mathematical Journal 1 Journal of the Mathematical Society of Japan 1 Mathematische Nachrichten 1 Mathematika 1 Monatshefte für Mathematik 1 Osaka Journal of Mathematics 1 Pacific Journal of Mathematics 1 Portugaliae Mathematica 1 Proceedings of the American Mathematical Society 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Proceedings of the London Mathematical Society. Third Series 1 SIAM Journal on Numerical Analysis 1 Transactions of the American Mathematical Society 1 Zeitschrift für Analysis und ihre Anwendungen 1 Acta Applicandae Mathematicae 1 Revista Matemática Iberoamericana 1 Journal of Integral Equations and Applications 1 Differential and Integral Equations 1 SIAM Journal on Applied Mathematics 1 Stochastic Processes and their Applications 1 Bulletin of the American Mathematical Society. New Series 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Journal of Nonlinear Science 1 Continuum Mechanics and Thermodynamics 1 SIAM Journal on Scientific Computing 1 Topological Methods in Nonlinear Analysis 1 Annales Mathématiques Blaise Pascal 1 Journal of Mathematical Sciences. University of Tokyo 1 Journal of Convex Analysis 1 Methods and Applications of Analysis 1 Bulletin des Sciences Mathématiques 1 Communications in Applied Analysis 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Bollettino della Unione Matematica Italiana. Serie VIII. Sezione B. Articoli di Ricerca Matematica 1 Discrete and Continuous Dynamical Systems. Series B 1 Advanced Nonlinear Studies 1 Communications on Pure and Applied Analysis 1 SIAM Journal on Applied Dynamical Systems 1 Communications in Mathematical Sciences 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Journal of Physics A: Mathematical and Theoretical 1 Mathematical Modelling of Natural Phenomena 1 Discrete and Continuous Dynamical Systems. Series S 1 Kinetic and Related Models 1 Nonlinear Analysis. Theory, Methods & Applications 1 North-Western European Journal of Mathematics
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#### Fields

 167 Partial differential equations (35-XX) 44 Statistical mechanics, structure of matter (82-XX) 35 Integral equations (45-XX) 26 Biology and other natural sciences (92-XX) 16 Mechanics of deformable solids (74-XX) 16 Fluid mechanics (76-XX) 14 Ordinary differential equations (34-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 8 Classical thermodynamics, heat transfer (80-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 Operator theory (47-XX) 5 Probability theory and stochastic processes (60-XX) 5 Numerical analysis (65-XX) 2 Real functions (26-XX) 2 Integral transforms, operational calculus (44-XX) 2 Optics, electromagnetic theory (78-XX) 1 Measure and integration (28-XX) 1 Functional analysis (46-XX) 1 Mechanics of particles and systems (70-XX) 1 Astronomy and astrophysics (85-XX)

#### Citations contained in zbMATH Open

170 Publications have been cited 1,964 times in 1,152 Documents Cited by Year
Critical mass for a Patlak-Keller-Segel model with degenerate diffusion in higher dimensions. Zbl 1172.35035
Blanchet, Adrien; Carrillo, José A.; Laurençot, Philippe
2009
Derivation of hyperbolic models for chemosensitive movement. Zbl 1080.92014
Filbet, Francis; Laurençot, Philippe; Perthame, Benoît
2005
Finite time blow-up for a one-dimensional quasilinear parabolic-parabolic chemotaxis system. Zbl 1270.35377
Cieślak, Tomasz; Laurençot, Philippe
2010
The $$8\pi$$-problem for radially symmetric solutions of a chemotaxis model in the plane. Zbl 1105.35131
2006
Global existence and convergence to steady states in a chemorepulsion system. Zbl 1156.35325
Cieślak, Tomasz; Laurençot, Philippe; Morales-Rodrigo, Cristian
2008
Gelation and mass conservation in coagulation-fragmentation models. Zbl 1133.82316
Escobedo, M.; Laurençot, Ph.; Mischler, S.; Perthame, B.
2003
Numerical simulation of the Smoluchowski coagulation equation. Zbl 1086.65123
Filbet, Francis; Laurençot, Philippe
2004
From the discrete to the continuous coagulation-fragmentation equations. Zbl 1034.35011
Laurençot, Philippe; Mischler, Stéphane
2002
On convergence to equilibria for the Keller-Segel chemotaxis model. Zbl 1139.35018
Feireisl, Eduard; Laurençot, Philippe; Petzeltová, Hana
2007
Existence of self-similar solutions to Smoluchowski’s coagulation equation. Zbl 1084.82006
Fournier, Nicolas; Laurençot, Philippe
2005
On coalescence equations and related models. Zbl 1105.82027
Laurençot, Philippe; Mischler, Stéphane
2004
The continuous coagulation-fragmentation equations with diffusion. Zbl 0997.45005
Laurençot, Philippe; Mischler, Stéphane
2002
The parabolic-parabolic Keller-Segel system with critical diffusion as a gradient flow in $$\mathbb R^d, d\geq 3$$. Zbl 1282.35202
2013
Global solutions to viscous Hamilton-Jacobi equations with irregular initial data. Zbl 0935.35033
Benachour, Said; Laurençot, Philippe
1999
On a class of continuous coagulation-fragmentation equations. Zbl 0978.35083
Laurençot, Philippe
2000
Exponential decay for the growth-fragmentation/cell-division equations. Zbl 1183.35038
Laurençot, Philippe; Perthame, Benoit
2009
Long-time behaviour for weakly damped driven nonlinear Schrödinger equations in $$\mathbb{R}^ N, N\leq 3$$. Zbl 0828.35125
Laurençot, Philippe
1995
A gradient flow approach to a thin film approximation of the Muskat problem. Zbl 1264.35129
Laurençot, Philippe; Matioc, Bogdan-Vasile
2013
Asymptotic profiles of solutions to viscous Hamilton–Jacobi equations. Zbl 1064.35075
Benachour, Saïd; Karch, Grzegorz; Laurençot, Philippe
2004
Well-posedness of Smoluchowski’s coagulation equation for a class of homogeneous kernels. Zbl 1106.45003
Fournier, Nicolas; Laurençot, Philippe
2006
A parabolic free boundary problem modeling electrostatic MEMS. Zbl 1287.35106
Escher, Joachim; Laurençot, Philippe; Walker, Christoph
2014
Global attractors for degenerate parabolic equations on unbounded domains. Zbl 0862.35058
Feireisl, E.; Laurençot, Ph.; Simondon, F.
1996
Solutions to a Penrose-Fife model of phase-field type. Zbl 0819.35159
Laurençot, Ph.
1994
Finite time blowup for the parabolic-parabolic Keller-Segel system with critical diffusion. Zbl 1357.35060
Laurençot, Philippe; Mizoguchi, Noriko
2017
A hybrid variational principle for the Keller-Segel system in $$\mathbb{R}^{2}$$. Zbl 1334.35086
Blanchet, Adrien; Carrillo, José Antonio; Kinderlehrer, David; Kowalczyk, Michał; Laurençot, Philippe; Lisini, Stefano
2015
Weak solutions to the Penrose-Fife phase field model for a class of admissible heat flux laws. Zbl 0929.35062
Colli, Pierluigi; Laurençot, Philippe
1998
A stationary free boundary problem modeling electrostatic MEMS. Zbl 1268.78004
Laurençot, Philippe; Walker, Christoph
2013
Long-time behaviour for a model of phase-field type. Zbl 0851.35055
Laurençot, Ph.
1996
A chemotaxis model with threshold density and degenerate diffusion. Zbl 1090.35055
Laurençot, Philippe; Wrzosek, Dariusz
2005
From the Becker-Döring to the Lifshitz-Slyozov-Wagner equations. Zbl 1001.82077
Laurençot, Philippe; Mischler, Stéphane
2002
Global existence for the discrete diffusive coagulation-fragmentation equations in $$L^1$$. Zbl 1036.35089
Laurençot, Philippe; Mischler, Stéphane
2002
Extinction and non-extinction for viscous Hamilton-Jacobi equations in $$\mathbb{R}^N$$. Zbl 1046.35053
Benachour, S.; Laurençot, Ph.; Schmitt, D.; Souplet, Ph.
2002
On the growth of mass for a viscous Hamilton-Jacobi equation. Zbl 1031.35054
Laurençot, Philippe; Souplet, Philippe
2003
On a nonlinear Schrödinger equation arising in the theory of water waves. Zbl 0841.35109
Laurençot, Ph.
1995
Compact attractors for reaction-diffusion equations in $$\mathbb{R}^ N$$. Zbl 0806.35075
Feireisl, Eduard; Laurençot, Philippe; Simondon, Frédérique; Touré, Hamidou
1994
Weak solutions to the continuous coagulation equation with multiple fragmentation. Zbl 1236.35017
Giri, Ankik Kumar; Laurençot, Philippe; Warnecke, Gerald
2012
The $$8\pi$$-problem for radially symmetric solutions of a chemotaxis model in a disc. Zbl 1135.35367
2006
Finite time blow-up for radially symmetric solutions to a critical quasilinear Smoluchowski-Poisson system. Zbl 1175.35010
Cieślak, Tomasz; Laurençot, Philippe
2009
Generalized variational inequalities. Zbl 1001.49014
Krejčí, Pavel; Laurençot, Philippe
2002
Well-posedness for a model of prion proliferation dynamics. Zbl 1121.35024
Laurençot, Philippe; Walker, Christoph
2007
Global existence of a strong solution to the one-dimensional full model for irreversible phase transitions. Zbl 1004.35058
Laurençot, Philippe; Schimperna, Giulio; Stefanelli, Ulisse
2002
Finite time singularity in a free boundary problem modeling MEMS. (Singularité en temps fini pour un modèle de microsystème électromécanique à frontière libre.) Zbl 1290.35259
Escher, Joachim; Laurençot, Philippe; Walker, Christoph
2013
Orthonormal wavelets, analysis of operators, and applications to numerical analysis. Zbl 0764.65066
Jaffard, S.; Laurençot, Ph.
1992
Fermi-Dirac-Fokker-Planck equation: well-posedness and long-time asymptotics. Zbl 1181.35292
Carrillo, José A.; Laurençot, Philippe; Rosado, Jesús
2009
Gradient estimates for a degenerate parabolic equation with gradient absorption and applications. Zbl 1145.35049
Bartier, Jean-Philippe; Laurençot, Philippe
2008
Local properties of self-similar solutions to Smoluchowski’s coagulation equation with sum kernels. Zbl 1229.45013
Fournier, Nicolas; Laurençot, Philippe
2006
The Lifshitz-Slyozov equation with encounters. Zbl 1013.35054
Laurençot, Philippe
2001
A free boundary problem modeling electrostatic MEMS: I. Linear bending effects. Zbl 1333.35351
Laurençot, Philippe; Walker, Christoph
2014
Localized non-diffusive asymptotic patterns for nonlinear parabolic equations with gradient absorption. Zbl 1134.35070
Laurençot, Philippe; Vázquez, Juan Luis
2007
Uniqueness and long-time behavior for the conserved phase-field system with memory. Zbl 0981.74012
Colli, Pierluigi; Gilardi, Gianni; Laurençot, Philippe; Novick-Cohen, Amy
1999
Extinction and decay estimates for viscous Hamilton-Jacobi equations in $${\mathbb{R}}^N$$. Zbl 1001.35007
Benachour, Said; Laurençot, Philippe; Schmitt, Didier
2002
Mass-conserving solutions and non-conservative approximation to the Smoluchowski coagulation equation. Zbl 1152.82315
Filbet, Francis; Laurençot, Philippe
2004
Decay estimates for a viscous Hamilton-Jacobi equation with homogeneous Dirichlet boundary conditions. Zbl 1133.35016
Benachour, Saïd; Dăbuleanu-Hapca, Simona; Laurençot, Philippe
2007
Convergence to equilibrium for the continuous coagulation-fragmentation equation. Zbl 1027.82030
Laurençot, Philippe; Mischler, Stéphane
2003
Existence and stability of weak solutions for a degenerate parabolic system modelling two-phase flows in porous media. Zbl 1227.35177
Escher, Joachim; Laurençot, Philippe; Matioc, Bogdan-Vasile
2011
Thin film equations with soluble surfactant and gravity: modeling and stability of steady states. Zbl 1323.76010
Escher, Joachim; Hillairet, Matthieu; Laurençot, Philippe; Walker, Christoph
2012
Positivity, decay, and extinction for a singular diffusion equation with gradient absorption. Zbl 1298.35115
Iagar, Razvan Gabriel; Laurençot, Philippe
2012
The discrete coagulation equations with multiple fragmentation. Zbl 1016.34051
Laurençot, Philippe
2002
Dynamics of a free boundary problem with curvature modeling electrostatic MEMS. Zbl 1325.35291
Escher, Joachim; Laurençot, Philippe; Walker, Christoph
2015
Compact attractor for weakly damped driven Korteweg-de Vries equations on the real line. Zbl 0928.35145
Laurençot, Ph.
1998
The discrete coagulation equations with collisional breakage. Zbl 1126.82320
Laurençot, Philippe; Wrzosek, Dariusz
2001
A free boundary problem modeling electrostatic MEMS. II: Nonlinear bending effects. Zbl 1303.35122
Laurençot, Philippe; Walker, Christoph
2014
Convergence to separate variables solutions for a degenerate parabolic equation with gradient source. Zbl 1242.35160
Laurençot, Philippe; Stinner, Christian
2012
Very singular solutions to a nonlinear parabolic equation with absorption. I: Existence. Zbl 0973.35100
Benachour, Said; Laurençot, Philippe
2001
Long-time behaviour for porous medium equations with convection. Zbl 0906.35050
Laurençot, Ph.; Simondon, F.
1998
Blowup of solutions to a diffusive aggregation model. Zbl 1177.35188
Biler, Piotr; Karch, Grzegorz; Laurençot, Philippe
2009
Asymptotic behavior for a viscous Hamilton-Jacobi equation with critical exponent. Zbl 1124.35008
Gallay, Thierry; Laurençot, Philippe
2007
Global solutions to a Penrose-Fife phase-field model under flux boundary conditions for the inverse temperature. Zbl 0859.35049
Horn, Werner; Laurençot, Philippe; Sprekels, Jürgen
1996
Weak solutions to a Penrose-Fife model for phase transitions. Zbl 0829.35148
Laurençot, Ph.
1995
Non-isothermal Smoluchowski-Poisson equations as a singular limit of the Navier-Stokes-Fourier-Poisson system. Zbl 1149.35072
Feireisl, Eduard; Laurençot, Philippe
2007
On the Oort-Hulst-Safronov coagulation equation and its relation to the Smoluchowski equation. Zbl 1047.45006
Lachowicz, Miroslaw; Laurençot, Philippe; Wrzosek, Dariusz
2003
Asymptotic self-similarity for a simplified model for radiating gases. Zbl 1070.35065
Laurençot, Philippe
2005
A fourth-order model for MEMS with clamped boundary conditions. Zbl 1309.35162
Laurençot, Philippe; Walker, Christoph
2014
The Lifshitz-Slyozov-Wagner equation with conserved total volume. Zbl 1031.35099
Laurençot, Philippe
2002
Weak solutions to a Penrose-Fife model with Fourier law for the temperature. Zbl 0919.35137
Laurençot, Ph.
1998
The Becker-Döring model with diffusion: II. Long time behavior. Zbl 0913.35070
Laurençot, Philippe; Wrzosek, Dariusz
1998
Existence and stabilization of solutions to the phase-field model with memory. Zbl 0925.45006
Colli, Pierluigi; Laurençot, Philippe
1998
Marcus-Lushnikov processes, Smoluchowski’s and Flory’s models. Zbl 1169.60027
Fournier, Nicolas; Laurençot, Philippe
2009
Sign-preserving property for some fourth-order elliptic operators in one dimension or in radial symmetry. Zbl 1330.35114
Laurençot, Philippe; Walker, Christoph
2015
Finite mass self-similar blowing-up solutions of a chemotaxis system with non-linear diffusion. Zbl 1264.35057
2012
On a kinetic equation for coalescing particles. Zbl 1126.82036
Escobedo, Miguel; Laurençot, Philippe; Mischler, Stéphane
2004
Self-similarity in a thin film Muskat problem. Zbl 1386.35238
Laurençot, Philippe; Matioc, Bogdan-Vasile
2017
Global existence for a hydrogen storage model with full energy balance. Zbl 1238.35159
Bonetti, Elena; Colli, Pierluigi; Laurençot, Philippe
2012
A thin film approximation of the Muskat problem with gravity and capillary forces. Zbl 1307.35137
Laurençot, Philippe; Matioc, Bogdan-Vasile
2014
Blow-up behavior of solutions to a degenerate parabolic-parabolic Keller-Segel system. Zbl 1378.35045
Ishige, Kazuhiro; Laurençot, Philippe; Mizoguchi, Noriko
2017
An age and spatially structured population model for Proteus Mirabilis swarm-colony development. Zbl 1337.92023
Laurençot, Ph.; Walker, Ch.
2008
Convergence to steady states for radially symmetric solutions to a quasilinear degenerate diffusive Hamilton-Jacobi equation. Zbl 1211.35042
Barles, Guy; Laurençot, Philippe; Stinner, Christian
2010
Non-diffusive large time behavior for a degenerate viscous Hamilton-Jacobi equation. Zbl 1175.35019
Laurençot, Philippe
2009
Oscillatory dynamics in Smoluchowski’s coagulation equation with diagonal kernel. Zbl 1407.82039
Laurençot, Philippe; Niethammer, Barbara; Velázquez, Juan J. L.
2018
Some singular equations modeling MEMS. Zbl 1456.35193
Laurençot, Philippe; Walker, Christoph
2017
Numerical approximation of the Lifshitz-Slyozov-Wagner equation. Zbl 1053.35085
Filbet, Francis; Laurençot, Philippe
2003
Weak solutions to the Lifshitz-Slyozov-Wagner equation. Zbl 1023.82005
Laurençot, Philippe
2001
Global existence for the Vlasov-Darwin system in $$\mathbb R^3$$ for small initial data. Zbl 1024.35027
Benachour, Saïd; Filbet, Francis; Laurençot, Philippe; Sonnendrücker, Eric
2003
Weak solutions to lubrication equations in the presence of strong slippage. Zbl 1282.35133
Kitavtsev, Georgy; Laurençot, Philippe; Niethammer, Barbara
2011
The Becker-Döring model with diffusion. I: Basic properties of solutions. Zbl 0894.35055
Laurençot, Philippe; Wrzosek, Dariusz
1998
Source-type solutions to porous medium equations with convection. Zbl 0894.35057
Laurençot, Ph.; Simondon, F.
1997
Fragmentation-diffusion model. Existence of solutions and their asymptotic behaviour. Zbl 0912.35031
Laurençot, Philippe; Wrzosek, Dariusz
1998
Well-posedness and convergence to the steady state for a model of morphogen transport. Zbl 1178.35071
Krzyżanowski, Piotr; Laurençot, Philippe; Wrzosek, Dariusz
2009
Mathematical models of receptor-mediated transport of morphogens. Zbl 1207.35197
Krzyżanowski, Piotr; Laurençot, Philippe; Wrzosek, Dariusz
2010
Global weak solutions for a degenerate parabolic system modeling the spreading of insoluble surfactant. Zbl 1261.35071
Escher, Joachim; Hillairet, Matthieu; Laurençot, Philippe; Walker, Cristoph
2011
Weak solutions to the collision-induced breakage equation with dominating coagulation. Zbl 1464.45019
Giri, Ankik Kumar; Laurençot, Philippe
2021
Analytic methods for coagulation-fragmentation models. Volume I. Zbl 1434.82001
Banasiak, Jacek; Lamb, Wilson; Laurençot, Philippe
2020
Shape derivative of the Dirichlet energy for a transmission problem. Zbl 1440.35045
Laurençot, Philippe; Walker, Christoph
2020
Mass-conserving solutions to the Smoluchowski coagulation equation with singular kernel. Zbl 07220507
Barik, Prasanta Kumar; Giri, Ankik Kumar; Laurençot, Philippe
2020
Analytic methods for coagulation-fragmentation models. Volume II. Zbl 1434.82002
Banasiak, Jacek; Lamb, Wilson; Laurençot, Philippe
2020
Stationary solutions to a nonlocal fourth-order elliptic obstacle problem. Zbl 1443.35031
Laurençot, Philippe; Walker, Christoph
2020
Global bounded and unbounded solutions to a chemotaxis system with indirect signal production. Zbl 1423.35037
Laurençot, Philippe
2019
Large time behavior of a two phase extension of the porous medium equation. Zbl 1423.35225
Oulhaj, Ahmed Ait Hammou; Cancès, Clément; Chainais-Hillairet, Claire; Laurençot, Philippe
2019
Oscillatory dynamics in Smoluchowski’s coagulation equation with diagonal kernel. Zbl 1407.82039
Laurençot, Philippe; Niethammer, Barbara; Velázquez, Juan J. L.
2018
Uniqueness of mass-conserving self-similar solutions to Smoluchowski’s coagulation equation with inverse power law kernels. Zbl 1394.35506
Laurençot, Philippe
2018
Heterogeneous dielectric properties in models for microelectromechanical systems. Zbl 1391.35371
Laurençot, Philippe; Walker, Christoph
2018
Mass-conserving solutions to coagulation-fragmentation equations with nonintegrable fragment distribution function. Zbl 1397.45004
Laurençot, Philippe
2018
Finite time blowup for the parabolic-parabolic Keller-Segel system with critical diffusion. Zbl 1357.35060
Laurençot, Philippe; Mizoguchi, Noriko
2017
Self-similarity in a thin film Muskat problem. Zbl 1386.35238
Laurençot, Philippe; Matioc, Bogdan-Vasile
2017
Blow-up behavior of solutions to a degenerate parabolic-parabolic Keller-Segel system. Zbl 1378.35045
Ishige, Kazuhiro; Laurençot, Philippe; Mizoguchi, Noriko
2017
Some singular equations modeling MEMS. Zbl 1456.35193
Laurençot, Philippe; Walker, Christoph
2017
Finite speed of propagation and waiting time for a thin-film Muskat problem. Zbl 1386.35239
Laurençot, Philippe; Matioc, Bogdan-Vasile
2017
Self-similar extinction for a diffusive Hamilton-Jacobi equation with critical absorption. Zbl 1391.35096
Iagar, Razvan Gabriel; Laurençot, Philippe
2017
A constrained model for MEMS with varying dielectric properties. Zbl 1398.35122
Laurençot, Philippe; Walker, Christoph
2017
Instantaneous shrinking and single point extinction for viscous Hamilton-Jacobi equations with fast diffusion. Zbl 1365.35080
Iagar, Razvan Gabriel; Laurençot, Philippe; Stinner, Christian
2017
A variational approach to a stationary free boundary problem modeling MEMS. Zbl 1341.35038
Laurençot, Philippe; Walker, Christoph
2016
The Fokker-Planck equation for bosons in 2D: well-posedness and asymptotic behavior. Zbl 1339.35321
Cañizo, José A.; Carrillo, José A.; Laurençot, Philippe; Rosado, Jesús
2016
On a three-dimensional free boundary problem modeling electrostatic MEMS. Zbl 1351.35215
Laurençot, Philippe; Walker, Christoph
2016
Large time behavior for the fast diffusion equation with critical absorption. Zbl 1383.35111
Benachour, Said; Iagar, Razvan Gabriel; Laurençot, Philippe
2016
A hybrid variational principle for the Keller-Segel system in $$\mathbb{R}^{2}$$. Zbl 1334.35086
Blanchet, Adrien; Carrillo, José Antonio; Kinderlehrer, David; Kowalczyk, Michał; Laurençot, Philippe; Lisini, Stefano
2015
Dynamics of a free boundary problem with curvature modeling electrostatic MEMS. Zbl 1325.35291
Escher, Joachim; Laurençot, Philippe; Walker, Christoph
2015
Sign-preserving property for some fourth-order elliptic operators in one dimension or in radial symmetry. Zbl 1330.35114
Laurençot, Philippe; Walker, Christoph
2015
Absence of gelation and self-similar behavior for a coagulation-fragmentation equation. Zbl 1396.82013
Laurençot, Philippe; van Roessel, Henry
2015
Weak compactness techniques and coagulation equations. Zbl 1323.35193
Laurençot, Philippe
2015
Traveling waves for a thin film with gravity and insoluble surfactant. Zbl 1330.35063
Escher, Joachim; Hillairet, Matthieu; Laurençot, Philippe; Walker, Christoph
2015
The time singular limit for a fourth-order damped wave equation for MEMS. Zbl 1327.35253
Laurençot, Philippe; Walker, Christoph
2015
A parabolic free boundary problem modeling electrostatic MEMS. Zbl 1287.35106
Escher, Joachim; Laurençot, Philippe; Walker, Christoph
2014
A free boundary problem modeling electrostatic MEMS: I. Linear bending effects. Zbl 1333.35351
Laurençot, Philippe; Walker, Christoph
2014
A free boundary problem modeling electrostatic MEMS. II: Nonlinear bending effects. Zbl 1303.35122
Laurençot, Philippe; Walker, Christoph
2014
A fourth-order model for MEMS with clamped boundary conditions. Zbl 1309.35162
Laurençot, Philippe; Walker, Christoph
2014
A thin film approximation of the Muskat problem with gravity and capillary forces. Zbl 1307.35137
Laurençot, Philippe; Matioc, Bogdan-Vasile
2014
Asymptotic behavior for a singular diffusion equation with gradient absorption. Zbl 1286.35039
Iagar, Razvan Gabriel; Laurençot, Philippe
2014
The parabolic-parabolic Keller-Segel system with critical diffusion as a gradient flow in $$\mathbb R^d, d\geq 3$$. Zbl 1282.35202
2013
A gradient flow approach to a thin film approximation of the Muskat problem. Zbl 1264.35129
Laurençot, Philippe; Matioc, Bogdan-Vasile
2013
A stationary free boundary problem modeling electrostatic MEMS. Zbl 1268.78004
Laurençot, Philippe; Walker, Christoph
2013
Finite time singularity in a free boundary problem modeling MEMS. (Singularité en temps fini pour un modèle de microsystème électromécanique à frontière libre.) Zbl 1290.35259
Escher, Joachim; Laurençot, Philippe; Walker, Christoph
2013
Existence and uniqueness of very singular solutions for a fast diffusion equation with gradient absorption. Zbl 1264.35137
Iagar, Razvan Gabriel; Laurençot, Philippe
2013
Thin film approximations to the Muskat problem. Zbl 1328.35330
Escher, J.; Laurençot, P.; Matioc, B.-V.
2013
Eternal solutions to a singular diffusion equation with critical gradient absorption. Zbl 1295.35165
Iagar, Razvan Gabriel; Laurençot, Philippe
2013
Weak solutions to the continuous coagulation equation with multiple fragmentation. Zbl 1236.35017
Giri, Ankik Kumar; Laurençot, Philippe; Warnecke, Gerald
2012
Thin film equations with soluble surfactant and gravity: modeling and stability of steady states. Zbl 1323.76010
Escher, Joachim; Hillairet, Matthieu; Laurençot, Philippe; Walker, Christoph
2012
Positivity, decay, and extinction for a singular diffusion equation with gradient absorption. Zbl 1298.35115
Iagar, Razvan Gabriel; Laurençot, Philippe
2012
Convergence to separate variables solutions for a degenerate parabolic equation with gradient source. Zbl 1242.35160
Laurençot, Philippe; Stinner, Christian
2012
Finite mass self-similar blowing-up solutions of a chemotaxis system with non-linear diffusion. Zbl 1264.35057
2012
Global existence for a hydrogen storage model with full energy balance. Zbl 1238.35159
Bonetti, Elena; Colli, Pierluigi; Laurençot, Philippe
2012
Weak solutions to a thin film model with capillary effects and insoluble surfactant. Zbl 1387.76009
Escher, Joachim; Hillairet, Matthieu; Laurençot, Philippe; Walker, Christoph
2012
A phase-field approximation of the Willmore flow with volume and area constraints. Zbl 1262.35120
Colli, Pierluigi; Laurençot, Philippe
2012
Self-similar solutions to a kinetic model for grain growth. Zbl 1255.35071
Herrmann, Michael; Laurençot, Philippe; Niethammer, Barbara
2012
Existence and stability of weak solutions for a degenerate parabolic system modelling two-phase flows in porous media. Zbl 1227.35177
Escher, Joachim; Laurençot, Philippe; Matioc, Bogdan-Vasile
2011
Weak solutions to lubrication equations in the presence of strong slippage. Zbl 1282.35133
Kitavtsev, Georgy; Laurençot, Philippe; Niethammer, Barbara
2011
Global weak solutions for a degenerate parabolic system modeling the spreading of insoluble surfactant. Zbl 1261.35071
Escher, Joachim; Hillairet, Matthieu; Laurençot, Philippe; Walker, Cristoph
2011
Asymptotic behaviour of a nonlinear parabolic equation with gradient absorption and critical exponent. Zbl 1227.35064
Iagar, Razvan Gabriel; Laurençot, Philippe; Vázquez, Juan Luis
2011
Refined asymptotics for the infinite heat equation with homogeneous Dirichlet boundary conditions. Zbl 1227.35068
Laurençot, Philippe; Stinner, Christian
2011
Global existence vs. blowup in a one-dimensional Smoluchowski-Poisson system. Zbl 1250.35043
Cieślak, Tomasz; Laurençot, Philippe
2011
A phase-field approximation of the Willmore flow with volume constraint. Zbl 1233.35110
Colli, Pierluigi; Laurençot, Philippe
2011
Global-in-time solutions for the isothermal Matovich-Pearson equations. Zbl 1206.35263
Feireisl, Eduard; Laurençot, Philippe; Mikelić, Andro
2011
Finite time blow-up for a one-dimensional quasilinear parabolic-parabolic chemotaxis system. Zbl 1270.35377
Cieślak, Tomasz; Laurençot, Philippe
2010
Convergence to steady states for radially symmetric solutions to a quasilinear degenerate diffusive Hamilton-Jacobi equation. Zbl 1211.35042
Barles, Guy; Laurençot, Philippe; Stinner, Christian
2010
Mathematical models of receptor-mediated transport of morphogens. Zbl 1207.35197
Krzyżanowski, Piotr; Laurençot, Philippe; Wrzosek, Dariusz
2010
Looking for critical nonlinearity in the one-dimensional quasilinear Smoluchowski-Poisson system. Zbl 1184.35044
Cieślak, Tomasz; Laurençot, Philippe
2010
Nonuniversal self-similarity in a coagulation-annihilation model with constant kernels. Zbl 1207.82059
Laurençot, Philippe; van Roessel, Henry
2010
Critical mass for a Patlak-Keller-Segel model with degenerate diffusion in higher dimensions. Zbl 1172.35035
Blanchet, Adrien; Carrillo, José A.; Laurençot, Philippe
2009
Exponential decay for the growth-fragmentation/cell-division equations. Zbl 1183.35038
Laurençot, Philippe; Perthame, Benoit
2009
Finite time blow-up for radially symmetric solutions to a critical quasilinear Smoluchowski-Poisson system. Zbl 1175.35010
Cieślak, Tomasz; Laurençot, Philippe
2009
Fermi-Dirac-Fokker-Planck equation: well-posedness and long-time asymptotics. Zbl 1181.35292
Carrillo, José A.; Laurençot, Philippe; Rosado, Jesús
2009
Blowup of solutions to a diffusive aggregation model. Zbl 1177.35188
Biler, Piotr; Karch, Grzegorz; Laurençot, Philippe
2009
Marcus-Lushnikov processes, Smoluchowski’s and Flory’s models. Zbl 1169.60027
Fournier, Nicolas; Laurençot, Philippe
2009
Non-diffusive large time behavior for a degenerate viscous Hamilton-Jacobi equation. Zbl 1175.35019
Laurençot, Philippe
2009
Well-posedness and convergence to the steady state for a model of morphogen transport. Zbl 1178.35071
Krzyżanowski, Piotr; Laurençot, Philippe; Wrzosek, Dariusz
2009
Sharp decay estimates and vanishing viscosity for diffusive Hamilton-Jacobi equations. Zbl 1175.35031
Benachour, Saïd; Ben-Artzi, Matania; Laurençot, Philippe
2009
Self-similar solutions with fat tails for a coagulation equation with nonlocal drift. Zbl 1176.35047
Herrmann, Michael; Laurençot, Philippe; Niethammer, Barbara
2009
Proteus mirabilis swarm-colony development with drift. Zbl 1176.92015
Laurençot, Philippe; Walker, Christoph
2009
Global existence and convergence to steady states in a chemorepulsion system. Zbl 1156.35325
Cieślak, Tomasz; Laurençot, Philippe; Morales-Rodrigo, Cristian
2008
Gradient estimates for a degenerate parabolic equation with gradient absorption and applications. Zbl 1145.35049
Bartier, Jean-Philippe; Laurençot, Philippe
2008
An age and spatially structured population model for Proteus Mirabilis swarm-colony development. Zbl 1337.92023
Laurençot, Ph.; Walker, Ch.
2008
On convergence to equilibria for the Keller-Segel chemotaxis model. Zbl 1139.35018
Feireisl, Eduard; Laurençot, Philippe; Petzeltová, Hana
2007
Well-posedness for a model of prion proliferation dynamics. Zbl 1121.35024
Laurençot, Philippe; Walker, Christoph
2007
Localized non-diffusive asymptotic patterns for nonlinear parabolic equations with gradient absorption. Zbl 1134.35070
Laurençot, Philippe; Vázquez, Juan Luis
2007
Decay estimates for a viscous Hamilton-Jacobi equation with homogeneous Dirichlet boundary conditions. Zbl 1133.35016
Benachour, Saïd; Dăbuleanu-Hapca, Simona; Laurençot, Philippe
2007
Asymptotic behavior for a viscous Hamilton-Jacobi equation with critical exponent. Zbl 1124.35008
Gallay, Thierry; Laurençot, Philippe
2007
Non-isothermal Smoluchowski-Poisson equations as a singular limit of the Navier-Stokes-Fourier-Poisson system. Zbl 1149.35072
Feireisl, Eduard; Laurençot, Philippe
2007
Convergence to steady states for a one-dimensional viscous Hamilton-Jacobi equation with Dirichlet boundary conditions. Zbl 1221.35195
Laurençot, Philippe
2007
Self-similar solutions to the Oort-Hulst-Safronov coagulation equation. Zbl 1157.82351
Bagland, Véronique; Laurencot, Philippe
2007
The $$8\pi$$-problem for radially symmetric solutions of a chemotaxis model in the plane. Zbl 1105.35131
2006
Well-posedness of Smoluchowski’s coagulation equation for a class of homogeneous kernels. Zbl 1106.45003
Fournier, Nicolas; Laurençot, Philippe
2006
The $$8\pi$$-problem for radially symmetric solutions of a chemotaxis model in a disc. Zbl 1135.35367
2006
Local properties of self-similar solutions to Smoluchowski’s coagulation equation with sum kernels. Zbl 1229.45013
Fournier, Nicolas; Laurençot, Philippe
2006
Self-similar solutions to a coagulation equation with multiplicative kernel. Zbl 1140.82034
Laurençot, Philippe
2006
Derivation of hyperbolic models for chemosensitive movement. Zbl 1080.92014
Filbet, Francis; Laurençot, Philippe; Perthame, Benoît
2005
Existence of self-similar solutions to Smoluchowski’s coagulation equation. Zbl 1084.82006
Fournier, Nicolas; Laurençot, Philippe
2005
A chemotaxis model with threshold density and degenerate diffusion. Zbl 1090.35055
Laurençot, Philippe; Wrzosek, Dariusz
2005
Asymptotic self-similarity for a simplified model for radiating gases. Zbl 1070.35065
Laurençot, Philippe
2005
Liapunov functionals for Smoluchowski’s coagulation equation and convergence to self-similarity. Zbl 1089.45003
Laurençot, Philippe; Mischler, Stéphane
2005
Optimal growth rates for a viscous Hamilton-Jacobi equation. Zbl 1090.35036
Laurençot, Philippe; Souplet, Philippe
2005
Steady states for a coagulation-fragmentation equation with volume scattering. Zbl 1105.45007
Laurençot, Philippe; Walker, Christoph
2005
...and 70 more Documents
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#### Cited by 1,248 Authors

 81 Laurençot, Philippe 36 Carrillo de la Plata, José Antonio 29 Walker, Christoph 23 Winkler, Michael 21 Velázquez, Juan J. L. 20 Niethammer, Barbara 19 Colli, Pierluigi 19 Mu, Chunlai 18 Rocca, Elisabetta 16 Bellomo, Nicola 15 Banasiak, Jacek 15 Calvez, Vincent 15 Kumar, Jitendra 15 Mischler, Stéphane 14 Escher, Joachim 14 Zheng, Jiashan 12 Giri, Ankik Kumar 12 Perthame, Benoît 12 Schimperna, Giulio 11 Cañizo, José Alfredo 11 Escobedo Martínez, Miguel 11 Iagar, Razvan Gabriel 11 Lin, Ke 11 Tao, Youshan 10 Bellouquid, Abdelghani 10 Gabriel, Pierre 10 Gilardi, Gianni 10 Wang, Zhian 9 Biler, Piotr 9 Doumic, Marie 9 Granero Belinchón, Rafael 9 Karch, Grzegorz 9 Matioc, Bogdan-Vasile 9 Vauchelet, Nicolas 9 Warnecke, Gerald G. 9 Wrzosek, Dariusz M. 9 Zinsl, Jonathan 8 Cieślak, Tomasz 8 Dolbeault, Jean 8 Fournier, Nicolas G. 8 Guillén González, Francisco M. 8 Jiang, Jie 8 Jin, Hai-Yang 8 Lienstromberg, Christina 8 Miranville, Alain M. 8 Saha, Jitraj 8 Stinner, Christian 8 Wang, Yifu 8 Xiang, Tian 7 Boldrini, José Luiz 7 Feireisl, Eduard 7 Grasselli, Maurizio 7 Krejčí, Pavel 7 Mizoguchi, Noriko 7 Rodríguez-Bellido, Maria Angeles 7 Souplet, Philippe 7 Sprekels, Jürgen 7 Throm, Sebastian 7 Zheng, Pan 6 Barik, Prasanta Kumar 6 Bedrossian, Jacob 6 Blanchet, Adrien 6 Cancès, Clément 6 Desvillettes, Laurent 6 Fujie, Kentarou 6 Ignat, Liviu I. 6 Lamb, Wilson 6 Marinoschi, Gabriela 6 Ogawa, Takayoshi 6 Recupero, Vincenzo 6 Sánchez, Ariel 6 Soler, Juan S. 6 Wang, Bixiang 6 Wang, Liangchen 6 Wang, Yilong 5 Bonetti, Elena 5 Burczak, Jan 5 Di Francesco, Marco 5 Fellner, Klemens 5 Goubet, Olivier 5 Herrmann, Michael 5 Hoffmann, Franca 5 James, François 5 Karachalios, Nikos I. 5 Klar, Axel 5 Liu, Jianguo 5 Lods, Bertrand 5 Nieto, Juanjo 5 Pego, Robert L. 5 Planas, Gabriela 5 Sugiyama, Yoshie 5 Zheng, Songmu 5 Zhong, Chengkui 4 Alouini, Brahim 4 Bagland, Véronique 4 Benachour, Said 4 Bendahmane, Mostafa 4 Bertozzi, Andrea Louise 4 Bianca, Carlo 4 Bruell, Gabriele ...and 1,148 more Authors
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#### Cited in 211 Serials

 91 Journal of Differential Equations 71 Journal of Mathematical Analysis and Applications 48 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 47 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 31 Discrete and Continuous Dynamical Systems 30 Mathematical Methods in the Applied Sciences 28 Nonlinear Analysis. Real World Applications 24 Journal of Statistical Physics 24 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 23 ZAMP. Zeitschrift für angewandte Mathematik und Physik 22 Physica D 22 Communications in Partial Differential Equations 20 Discrete and Continuous Dynamical Systems. Series B 19 Journal of Mathematical Biology 19 SIAM Journal on Mathematical Analysis 18 Journal de Mathématiques Pures et Appliquées. Neuvième Série 16 Kinetic and Related Models 15 Acta Applicandae Mathematicae 14 Communications on Pure and Applied Analysis 13 Calculus of Variations and Partial Differential Equations 12 Journal of Functional Analysis 12 Discrete and Continuous Dynamical Systems. Series S 11 Archive for Rational Mechanics and Analysis 11 Communications in Mathematical Physics 11 Journal of Mathematical Physics 11 Annali di Matematica Pura ed Applicata. Serie Quarta 11 Quarterly of Applied Mathematics 11 Mathematical and Computer Modelling 11 Journal of Evolution Equations 10 Journal of Nonlinear Science 9 Computers & Mathematics with Applications 9 Journal of Computational Physics 9 Applied Mathematics Letters 9 Comptes Rendus. Mathématique. Académie des Sciences, Paris 8 Applicable Analysis 8 Applied Mathematics and Computation 8 Proceedings of the American Mathematical Society 8 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 7 Nonlinearity 7 Mathematics of Computation 7 Applied Mathematics and Optimization 7 Monatshefte für Mathematik 7 Transactions of the American Mathematical Society 7 Applications of Mathematics 7 NoDEA. Nonlinear Differential Equations and Applications 7 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 6 Mathematische Annalen 6 SIAM Journal on Applied Mathematics 6 Networks and Heterogeneous Media 5 Numerische Mathematik 5 Journal of Scientific Computing 5 Journal of Dynamics and Differential Equations 5 Advanced Nonlinear Studies 5 Evolution Equations and Control Theory 4 Journal of Engineering Mathematics 4 Journal of Computational and Applied Mathematics 4 Manuscripta Mathematica 4 Stochastic Processes and their Applications 4 SIAM Journal on Scientific Computing 4 Journal of Mathematical Fluid Mechanics 4 Boundary Value Problems 4 Mathematical Modelling of Natural Phenomena 3 Journal d’Analyse Mathématique 3 Reports on Mathematical Physics 3 The Annals of Probability 3 Indiana University Mathematics Journal 3 SIAM Journal on Numerical Analysis 3 Bulletin of the Korean Mathematical Society 3 Asymptotic Analysis 3 Journal of Integral Equations and Applications 3 Applied Mathematical Modelling 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Bernoulli 3 Abstract and Applied Analysis 3 Acta Mathematica Sinica. English Series 3 Communications in Nonlinear Science and Numerical Simulation 3 Communications in Contemporary Mathematics 3 Journal of Applied Mathematics and Computing 3 Mathematical Biosciences and Engineering 3 Journal of Biological Dynamics 3 Nonlinear Analysis. Theory, Methods & Applications 3 Journal of Elliptic and Parabolic Equations 2 Advances in Applied Probability 2 Journal of Fluid Mechanics 2 Transport Theory and Statistical Physics 2 Wave Motion 2 Bulletin of Mathematical Biology 2 Advances in Mathematics 2 Archiv der Mathematik 2 BIT 2 Duke Mathematical Journal 2 Journal für die Reine und Angewandte Mathematik 2 Mathematics and Computers in Simulation 2 Memoirs of the American Mathematical Society 2 Numerical Functional Analysis and Optimization 2 SIAM Journal on Control and Optimization 2 Stochastic Analysis and Applications 2 Acta Mathematicae Applicatae Sinica. English Series 2 Probability Theory and Related Fields 2 Revista Matemática Iberoamericana ...and 111 more Serials
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#### Cited in 45 Fields

 926 Partial differential equations (35-XX) 391 Biology and other natural sciences (92-XX) 186 Statistical mechanics, structure of matter (82-XX) 124 Integral equations (45-XX) 121 Numerical analysis (65-XX) 115 Fluid mechanics (76-XX) 74 Ordinary differential equations (34-XX) 61 Operator theory (47-XX) 60 Mechanics of deformable solids (74-XX) 57 Classical thermodynamics, heat transfer (80-XX) 51 Probability theory and stochastic processes (60-XX) 50 Calculus of variations and optimal control; optimization (49-XX) 47 Dynamical systems and ergodic theory (37-XX) 17 Optics, electromagnetic theory (78-XX) 17 Systems theory; control (93-XX) 10 Functional analysis (46-XX) 9 Global analysis, analysis on manifolds (58-XX) 9 Mechanics of particles and systems (70-XX) 8 Measure and integration (28-XX) 7 Real functions (26-XX) 7 Astronomy and astrophysics (85-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Differential geometry (53-XX) 6 Operations research, mathematical programming (90-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Statistics (62-XX) 4 Combinatorics (05-XX) 4 Integral transforms, operational calculus (44-XX) 3 Functions of a complex variable (30-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Difference and functional equations (39-XX) 2 Geophysics (86-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Computer science (68-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) 1 Mathematics education (97-XX)