Edit Profile (opens in new tab) Laurençot, Philippe Co-Author Distance Author ID: laurencot.philippe Published as: Laurençot, Philippe; Laurençot, Ph.; Laurencot, Philippe; Laurençot, P. more...less Homepage: https://www.math.univ-toulouse.fr/~laurenco/ External Links: MGP · ORCID · dblp · IdRef · theses.fr Documents Indexed: 226 Publications since 1992, including 2 Books and 5 Additional arXiv Preprints Reviewing Activity: 237 Reviews Co-Authors: 84 Co-Authors with 186 Joint Publications 2,605 Co-Co-Authors all top 5 Co-Authors 39 single-authored 38 Walker, Christoph 16 Iagar, Razvan Gabriel 13 Benachour, Said 11 Wrzosek, Dariusz M. 10 Matioc, Bogdan-Vasile 10 Mischler, Stéphane 9 Escher, Joachim 8 Colli, Pierluigi 8 Feireisl, Eduard 7 Giri, Ankik Kumar 7 Karch, Grzegorz 7 Simondon, Frédérique 6 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 4 Hillairet, Matthieu 4 Niethammer, Barbara 4 Schmitt, Didier 3 Jiang, Jie 3 Nadzieja, Tadeusz 3 Nik, Katerina 3 Perthame, Benoît 3 Souplet, Philippe 2 Ali, Mashkoor 2 Banasiak, Jacek 2 Boritchev, Alexandre 2 Herrmann, Michael 2 Hilhorst, Danielle 2 Krejčí, Pavel 2 Krzyżanowski, Piotr 2 Lamb, Wilson 2 Mizoguchi, Noriko 2 Rosado, Jesús 2 Stefanelli, Ulisse 2 Trescases, Ariane 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 Burger, Martin 1 Cancès, Clément 1 Cañizo, José Alfredo 1 Chainais-Hillairet, Claire 1 Dăbuleanu-Hapca, Simona 1 Desvillettes, Laurent 1 Dupaix, Cédric 1 Gallay, Thierry 1 Gilardi, Gianni 1 Horn, Werner 1 Ishige, Kazuhiro 1 Jaiswal, Ram Gopal 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 Sánchez, Ariel 1 Schimperna, Giulio 1 Sonnendrücker, Eric 1 Sprekels, Jürgen 1 Touré, Hamidou 1 Velázquez, Juan J. L. 1 Warnecke, Gerald G. 1 Winkler, Michael 1 Zhang, Yanyan all top 5 Serials 11 Journal of Differential Equations 10 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 10 SIAM Journal on Mathematical Analysis 8 Communications in Partial Differential Equations 6 Asymptotic Analysis 5 Nonlinearity 4 Archive for Rational Mechanics and Analysis 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 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 Journal of Dynamics and Differential Equations 4 Calculus of Variations and Partial Differential Equations 4 NoDEA. Nonlinear Differential Equations and Applications 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 Quarterly of Applied Mathematics 3 Physica D 3 Differential and Integral Equations 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 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 Bulletin of the London Mathematical Society 2 Journal of the London Mathematical Society. Second Series 2 Transactions of the American Mathematical Society 2 Advances in Mathematical Sciences and Applications 2 Bulletin des Sciences Mathématiques 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 Communications in Mathematical Sciences 2 Discrete and Continuous Dynamical Systems. Series S 2 Kinetic and Related Models 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 Archivum Mathematicum 1 Czechoslovak Mathematical Journal 1 Journal of the Mathematical Society of Japan 1 Mathematische Nachrichten 1 Mathematische Zeitschrift 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 Zeitschrift für Analysis und ihre Anwendungen 1 Acta Applicandae Mathematicae 1 Revista Matemática Iberoamericana 1 Journal of Integral Equations and Applications 1 European Journal of Applied Mathematics 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 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 Nonlinear Analysis. Real World Applications 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 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 Nonlinear Analysis. Theory, Methods & Applications 1 North-Western European Journal of Mathematics 1 Annales Henri Lebesgue all top 5 Fields 183 Partial differential equations (35-XX) 45 Statistical mechanics, structure of matter (82-XX) 40 Integral equations (45-XX) 30 Biology and other natural sciences (92-XX) 18 Fluid mechanics (76-XX) 16 Mechanics of deformable solids (74-XX) 14 Ordinary differential equations (34-XX) 10 Dynamical systems and ergodic theory (37-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 9 Operator theory (47-XX) 8 Classical thermodynamics, heat transfer (80-XX) 6 Probability theory and stochastic processes (60-XX) 5 Numerical analysis (65-XX) 4 Optics, electromagnetic theory (78-XX) 2 Real functions (26-XX) 2 Integral transforms, operational calculus (44-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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 190 Publications have been cited 2,562 times in 1,478 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 121 2009 Derivation of hyperbolic models for chemosensitive movement. Zbl 1080.92014 Filbet, Francis; Laurençot, Philippe; Perthame, Benoît 90 2005 Global existence and convergence to steady states in a chemorepulsion system. Zbl 1156.35325 Cieślak, Tomasz; Laurençot, Philippe; Morales-Rodrigo, Cristian 70 2008 Finite time blow-up for a one-dimensional quasilinear parabolic-parabolic chemotaxis system. Zbl 1270.35377 Cieślak, Tomasz; Laurençot, Philippe 69 2010 The \(8\pi\)-problem for radially symmetric solutions of a chemotaxis model in the plane. Zbl 1105.35131 Biler, Piotr; Karch, Grzegorz; Laurençot, Philippe; Nadzieja, Tadeusz 62 2006 Numerical simulation of the Smoluchowski coagulation equation. Zbl 1086.65123 Filbet, Francis; Laurençot, Philippe 57 2004 Gelation and mass conservation in coagulation-fragmentation models. Zbl 1133.82316 Escobedo, M.; Laurençot, Ph.; Mischler, S.; Perthame, B. 52 2003 On convergence to equilibria for the Keller-Segel chemotaxis model. Zbl 1139.35018 Feireisl, Eduard; Laurençot, Philippe; Petzeltová, Hana 50 2007 From the discrete to the continuous coagulation-fragmentation equations. Zbl 1034.35011 Laurençot, Philippe; Mischler, Stéphane 48 2002 On coalescence equations and related models. Zbl 1105.82027 Laurençot, Philippe; Mischler, Stéphane 46 2004 Existence of self-similar solutions to Smoluchowski’s coagulation equation. Zbl 1084.82006 Fournier, Nicolas; Laurençot, Philippe 41 2005 The parabolic-parabolic Keller-Segel system with critical diffusion as a gradient flow in \(\mathbb R^d, d\geq 3\). Zbl 1282.35202 Blanchet, Adrien; Laurençot, Philippe 39 2013 The continuous coagulation-fragmentation equations with diffusion. Zbl 0997.45005 Laurençot, Philippe; Mischler, Stéphane 38 2002 Global solutions to viscous Hamilton-Jacobi equations with irregular initial data. Zbl 0935.35033 Benachour, Said; Laurençot, Philippe 37 1999 On a class of continuous coagulation-fragmentation equations. Zbl 0978.35083 Laurençot, Philippe 35 2000 Exponential decay for the growth-fragmentation/cell-division equations. Zbl 1183.35038 Laurençot, Philippe; Perthame, Benoit 34 2009 A gradient flow approach to a thin film approximation of the Muskat problem. Zbl 1264.35129 Laurençot, Philippe; Matioc, Bogdan-Vasile 34 2013 Finite time blowup for the parabolic-parabolic Keller-Segel system with critical diffusion. Zbl 1357.35060 Laurençot, Philippe; Mizoguchi, Noriko 31 2017 Long-time behaviour for weakly damped driven nonlinear Schrödinger equations in \(\mathbb{R}^ N, N\leq 3\). Zbl 0828.35125 Laurençot, Philippe 30 1995 Asymptotic profiles of solutions to viscous Hamilton–Jacobi equations. Zbl 1064.35075 Benachour, Saïd; Karch, Grzegorz; Laurençot, Philippe 30 2004 Well-posedness of Smoluchowski’s coagulation equation for a class of homogeneous kernels. Zbl 1106.45003 Fournier, Nicolas; Laurençot, Philippe 29 2006 A parabolic free boundary problem modeling electrostatic MEMS. Zbl 1287.35106 Escher, Joachim; Laurençot, Philippe; Walker, Christoph 27 2014 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 26 2015 A stationary free boundary problem modeling electrostatic MEMS. Zbl 1268.78004 Laurençot, Philippe; Walker, Christoph 26 2013 Global attractors for degenerate parabolic equations on unbounded domains. Zbl 0862.35058 Feireisl, E.; Laurençot, Ph.; Simondon, F. 25 1996 Long-time behaviour for a model of phase-field type. Zbl 0851.35055 Laurençot, Ph. 24 1996 Weak solutions to the Penrose-Fife phase field model for a class of admissible heat flux laws. Zbl 0929.35062 Colli, Pierluigi; Laurençot, Philippe 24 1998 Delayed blow-up for chemotaxis models with local sensing. Zbl 1470.35073 Burger, Martin; Laurençot, Philippe; Trescases, Ariane 23 2021 From the Becker-Döring to the Lifshitz-Slyozov-Wagner equations. Zbl 1001.82077 Laurençot, Philippe; Mischler, Stéphane 22 2002 Finite time blow-up for radially symmetric solutions to a critical quasilinear Smoluchowski-Poisson system. Zbl 1175.35010 Cieślak, Tomasz; Laurençot, Philippe 22 2009 A chemotaxis model with threshold density and degenerate diffusion. Zbl 1090.35055 Laurençot, Philippe; Wrzosek, Dariusz 22 2005 Solutions to a Penrose-Fife model of phase-field type. Zbl 0819.35159 Laurençot, Ph. 22 1994 Global existence for the discrete diffusive coagulation-fragmentation equations in \(L^1\). Zbl 1036.35089 Laurençot, Philippe; Mischler, Stéphane 22 2002 Well-posedness for a model of prion proliferation dynamics. Zbl 1121.35024 Laurençot, Philippe; Walker, Christoph 21 2007 Weak solutions to the continuous coagulation equation with multiple fragmentation. Zbl 1236.35017 Giri, Ankik Kumar; Laurençot, Philippe; Warnecke, Gerald 21 2012 Some singular equations modeling MEMS. Zbl 1456.35193 Laurençot, Philippe; Walker, Christoph 21 2017 Extinction and non-extinction for viscous Hamilton-Jacobi equations in \(\mathbb{R}^N\). Zbl 1046.35053 Benachour, S.; Laurençot, Ph.; Schmitt, D.; Souplet, Ph. 20 2002 Global existence and uniform boundedness in a chemotaxis model with signal-dependent motility. Zbl 1472.35401 Jiang, Jie; Laurençot, Philippe 20 2021 On a nonlinear Schrödinger equation arising in the theory of water waves. Zbl 0841.35109 Laurençot, Ph. 19 1995 On the growth of mass for a viscous Hamilton-Jacobi equation. Zbl 1031.35054 Laurençot, Philippe; Souplet, Philippe 19 2003 The \(8\pi\)-problem for radially symmetric solutions of a chemotaxis model in a disc. Zbl 1135.35367 Biler, Piotr; Karch, Grzegorz; Laurençot, Philippe; Nadzieja, Tadeusz 18 2006 Fermi-Dirac-Fokker-Planck equation: well-posedness and long-time asymptotics. Zbl 1181.35292 Carrillo, José A.; Laurençot, Philippe; Rosado, Jesús 18 2009 Gradient estimates for a degenerate parabolic equation with gradient absorption and applications. Zbl 1145.35049 Bartier, Jean-Philippe; Laurençot, Philippe 17 2008 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 17 2011 Extinction and decay estimates for viscous Hamilton-Jacobi equations in \({\mathbb{R}}^N\). Zbl 1001.35007 Benachour, Said; Laurençot, Philippe; Schmitt, Didier 17 2002 Local properties of self-similar solutions to Smoluchowski’s coagulation equation with sum kernels. Zbl 1229.45013 Fournier, Nicolas; Laurençot, Philippe 17 2006 Generalized variational inequalities. Zbl 1001.49014 Krejčí, Pavel; Laurençot, Philippe 17 2002 Positivity, decay, and extinction for a singular diffusion equation with gradient absorption. Zbl 1298.35115 Iagar, Razvan Gabriel; Laurençot, Philippe 16 2012 The discrete coagulation equations with collisional breakage. Zbl 1126.82320 Laurençot, Philippe; Wrzosek, Dariusz 16 2001 Compact attractors for reaction-diffusion equations in \(\mathbb{R}^ N\). Zbl 0806.35075 Feireisl, Eduard; Laurençot, Philippe; Simondon, Frédérique; Touré, Hamidou 16 1994 A free boundary problem modeling electrostatic MEMS: I. Linear bending effects. Zbl 1333.35351 Laurençot, Philippe; Walker, Christoph 16 2014 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 16 2002 Mass-conserving solutions and non-conservative approximation to the Smoluchowski coagulation equation. Zbl 1152.82315 Filbet, Francis; Laurençot, Philippe 15 2004 Localized non-diffusive asymptotic patterns for nonlinear parabolic equations with gradient absorption. Zbl 1134.35070 Laurençot, Philippe; Vázquez, Juan Luis 15 2007 Dynamics of a free boundary problem with curvature modeling electrostatic MEMS. Zbl 1325.35291 Escher, Joachim; Laurençot, Philippe; Walker, Christoph 15 2015 On the Oort-Hulst-Safronov coagulation equation and its relation to the Smoluchowski equation. Zbl 1047.45006 Lachowicz, Miroslaw; Laurençot, Philippe; Wrzosek, Dariusz 15 2003 Weak compactness techniques and coagulation equations. Zbl 1323.35193 Laurençot, Philippe 15 2015 The Lifshitz-Slyozov equation with encounters. Zbl 1013.35054 Laurençot, Philippe 14 2001 Orthonormal wavelets, analysis of operators, and applications to numerical analysis. Zbl 0764.65066 Jaffard, S.; Laurençot, Ph. 14 1992 The discrete coagulation equations with multiple fragmentation. Zbl 1016.34051 Laurençot, Philippe 14 2002 Global bounded and unbounded solutions to a chemotaxis system with indirect signal production. Zbl 1423.35037 Laurençot, Philippe 14 2019 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 14 2013 Asymptotic behavior for a viscous Hamilton-Jacobi equation with critical exponent. Zbl 1124.35008 Gallay, Thierry; Laurençot, Philippe 13 2007 Decay estimates for a viscous Hamilton-Jacobi equation with homogeneous Dirichlet boundary conditions. Zbl 1133.35016 Benachour, Saïd; Dăbuleanu-Hapca, Simona; Laurençot, Philippe 13 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 13 1999 Blowup of solutions to a diffusive aggregation model. Zbl 1177.35188 Biler, Piotr; Karch, Grzegorz; Laurençot, Philippe 13 2009 Non-isothermal Smoluchowski-Poisson equations as a singular limit of the Navier-Stokes-Fourier-Poisson system. Zbl 1149.35072 Feireisl, Eduard; Laurençot, Philippe 13 2007 A free boundary problem modeling electrostatic MEMS. II: Nonlinear bending effects. Zbl 1303.35122 Laurençot, Philippe; Walker, Christoph 13 2014 Sign-preserving property for some fourth-order elliptic operators in one dimension or in radial symmetry. Zbl 1330.35114 Laurençot, Philippe; Walker, Christoph 13 2015 Compact attractor for weakly damped driven Korteweg-de Vries equations on the real line. Zbl 0928.35145 Laurençot, Ph. 12 1998 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 12 2012 A fourth-order model for MEMS with clamped boundary conditions. Zbl 1309.35162 Laurençot, Philippe; Walker, Christoph 12 2014 Long-time behaviour for porous medium equations with convection. Zbl 0906.35050 Laurençot, Ph.; Simondon, F. 11 1998 Asymptotic self-similarity for a simplified model for radiating gases. Zbl 1070.35065 Laurençot, Philippe 11 2005 Self-similarity in a thin film Muskat problem. Zbl 1386.35238 Laurençot, Philippe; Matioc, Bogdan-Vasile 11 2017 Convergence to equilibrium for the continuous coagulation-fragmentation equation. Zbl 1027.82030 Laurençot, Philippe; Mischler, Stéphane 11 2003 Convergence to separate variables solutions for a degenerate parabolic equation with gradient source. Zbl 1242.35160 Laurençot, Philippe; Stinner, Christian 10 2012 Very singular solutions to a nonlinear parabolic equation with absorption. I: Existence. Zbl 0973.35100 Benachour, Said; Laurençot, Philippe 10 2001 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 10 1996 Blow-up behavior of solutions to a degenerate parabolic-parabolic Keller-Segel system. Zbl 1378.35045 Ishige, Kazuhiro; Laurençot, Philippe; Mizoguchi, Noriko 10 2017 Global existence, uniform boundedness, and stabilization in a chemotaxis system with density-suppressed motility and nutrient consumption. Zbl 1489.35014 Jiang, Jie; Laurençot, Philippe; Zhang, Yanyan 10 2022 Weak solutions to triangular cross diffusion systems modeling chemotaxis with local sensing. Zbl 1501.35057 Desvillettes, Laurent; Laurençot, Philippe; Trescases, Ariane; Winkler, Michael 10 2023 Finite mass self-similar blowing-up solutions of a chemotaxis system with non-linear diffusion. Zbl 1264.35057 Blanchet, Adrien; Laurençot, Philippe 10 2012 Weak solutions to a Penrose-Fife model with Fourier law for the temperature. Zbl 0919.35137 Laurençot, Ph. 9 1998 Weak solutions to a Penrose-Fife model for phase transitions. Zbl 0829.35148 Laurençot, Ph. 9 1995 Global existence for a hydrogen storage model with full energy balance. Zbl 1238.35159 Bonetti, Elena; Colli, Pierluigi; Laurençot, Philippe 9 2012 Looking for critical nonlinearity in the one-dimensional quasilinear Smoluchowski-Poisson system. Zbl 1184.35044 Cieślak, Tomasz; Laurençot, Philippe 9 2010 Marcus-Lushnikov processes, Smoluchowski’s and Flory’s models. Zbl 1169.60027 Fournier, Nicolas; Laurençot, Philippe 9 2009 The Lifshitz-Slyozov-Wagner equation with conserved total volume. Zbl 1031.35099 Laurençot, Philippe 9 2002 Mass-conserving solutions to the Smoluchowski coagulation equation with singular kernel. Zbl 1474.45061 Barik, Prasanta Kumar; Giri, Ankik Kumar; Laurençot, Philippe 9 2020 Existence and uniqueness of very singular solutions for a fast diffusion equation with gradient absorption. Zbl 1264.35137 Iagar, Razvan Gabriel; Laurençot, Philippe 9 2013 Finite speed of propagation and waiting time for a thin-film Muskat problem. Zbl 1386.35239 Laurençot, Philippe; Matioc, Bogdan-Vasile 8 2017 The Becker-Döring model with diffusion: II. Long time behavior. Zbl 0913.35070 Laurençot, Philippe; Wrzosek, Dariusz 8 1998 Existence and stabilization of solutions to the phase-field model with memory. Zbl 0925.45006 Colli, Pierluigi; Laurençot, Philippe 8 1998 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 8 2003 Non-diffusive large time behavior for a degenerate viscous Hamilton-Jacobi equation. Zbl 1175.35019 Laurençot, Philippe 8 2009 On a kinetic equation for coalescing particles. Zbl 1126.82036 Escobedo, Miguel; Laurençot, Philippe; Mischler, Stéphane 8 2004 An age and spatially structured population model for Proteus Mirabilis swarm-colony development. Zbl 1337.92023 Laurençot, Ph.; Walker, Ch. 8 2008 A thin film approximation of the Muskat problem with gravity and capillary forces. Zbl 1307.35137 Laurençot, Philippe; Matioc, Bogdan-Vasile 8 2014 A variational approach to a stationary free boundary problem modeling MEMS. Zbl 1341.35038 Laurençot, Philippe; Walker, Christoph 8 2016 Weak solutions to triangular cross diffusion systems modeling chemotaxis with local sensing. Zbl 1501.35057 Desvillettes, Laurent; Laurençot, Philippe; Trescases, Ariane; Winkler, Michael 10 2023 Global existence, uniform boundedness, and stabilization in a chemotaxis system with density-suppressed motility and nutrient consumption. Zbl 1489.35014 Jiang, Jie; Laurençot, Philippe; Zhang, Yanyan 10 2022 Energy minimizers for an asymptotic MEMS model with heterogeneous dielectric properties. Zbl 1481.35137 Laurençot, Philippe; Nik, Katerina; Walker, Christoph 1 2022 Sharp Sobolev estimates for concentration of solutions to an aggregation-diffusion equation. Zbl 1503.35236 Biler, Piotr; Boritchev, Alexandre; Karch, Grzegorz; Laurençot, Philippe 1 2022 Non-existence of nonnegative separate variable solutions to a porous medium equation with spatially dependent nonlinear source. Zbl 1497.35258 Iagar, Razvan Gabriel; Laurençot, Philippe 1 2022 Bounded weak solutions to the thin film Muskat problem via an infinite family of Liapunov functionals. Zbl 1496.35239 Laurençot, Philippe; Matioc, Bogdan-Vasile 1 2022 \(H^2\)-regularity for a two-dimensional transmission problem with geometric constraint. Zbl 1501.35110 Laurençot, Philippe; Walker, Christoph 1 2022 Delayed blow-up for chemotaxis models with local sensing. Zbl 1470.35073 Burger, Martin; Laurençot, Philippe; Trescases, Ariane 23 2021 Global existence and uniform boundedness in a chemotaxis model with signal-dependent motility. Zbl 1472.35401 Jiang, Jie; Laurençot, Philippe 20 2021 Existence and nonexistence for the collision-induced breakage equation. Zbl 1473.45014 Giri, Ankik Kumar; Laurençot, Philippe 4 2021 Weak solutions to the collision-induced breakage equation with dominating coagulation. Zbl 1464.45019 Giri, Ankik Kumar; Laurençot, Philippe 4 2021 Concentration phenomena in a diffusive aggregation model. Zbl 1455.35264 Biler, Piotr; Boritchev, Alexandre; Karch, Grzegorz; Laurençot, Philippe 2 2021 The fragmentation equation with size diffusion: small and large size behavior of stationary solutions. Zbl 1484.45007 Laurençot, Philippe; Walker, Christoph 1 2021 Reinforced limit of a MEMS model with heterogeneous dielectric properties. Zbl 1483.35253 Laurençot, Philippe; Nik, Katerina; Walker, Christoph 1 2021 Variational solutions to an evolution model for MEMS with heterogeneous dielectric properties. Zbl 1458.35241 Laurençot, Philippe; Walker, Christoph 1 2021 Mass threshold for infinite-time blowup in a chemotaxis model with split population. Zbl 1470.35365 Laurençot, Philippe; Stinner, Christian 1 2021 Mass-conserving solutions to the Smoluchowski coagulation equation with singular kernel. Zbl 1474.45061 Barik, Prasanta Kumar; Giri, Ankik Kumar; Laurençot, Philippe 9 2020 Shape derivative of the Dirichlet energy for a transmission problem. Zbl 1440.35045 Laurençot, Philippe; Walker, Christoph 8 2020 Analytic methods for coagulation-fragmentation models. Volume I. Zbl 1434.82001 Banasiak, Jacek; Lamb, Wilson; Laurençot, Philippe 8 2020 Analytic methods for coagulation-fragmentation models. Volume II. Zbl 1434.82002 Banasiak, Jacek; Lamb, Wilson; Laurençot, Philippe 8 2020 Stationary solutions to Smoluchowski’s coagulation equation with source. Zbl 1474.45068 Laurençot, Philippe 3 2020 Mass-conserving solutions to coagulation-fragmentation equations with balanced growth. Zbl 1444.45010 Laurençot, Philippe 2 2020 Touchdown is the only finite time singularity in a three-dimensional MEMS model. (La désactivation est la seule singularité en temps fini possible dans un modèle de MEMS tridimensionnel.) Zbl 1456.35103 Laurençot, Philippe; Walker, Christoph 1 2020 Stationary solutions to a nonlocal fourth-order elliptic obstacle problem. Zbl 1443.35031 Laurençot, Philippe; Walker, Christoph 1 2020 Global bounded and unbounded solutions to a chemotaxis system with indirect signal production. Zbl 1423.35037 Laurençot, Philippe 14 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 6 2019 Stationary solutions to coagulation-fragmentation equations. Zbl 1431.45009 Laurençot, Philippe 1 2019 Heterogeneous dielectric properties in models for microelectromechanical systems. Zbl 1391.35371 Laurençot, Philippe; Walker, Christoph 7 2018 Oscillatory dynamics in Smoluchowski’s coagulation equation with diagonal kernel. Zbl 1407.82039 Laurençot, Philippe; Niethammer, Barbara; Velázquez, Juan J. L. 7 2018 Uniqueness of mass-conserving self-similar solutions to Smoluchowski’s coagulation equation with inverse power law kernels. Zbl 1394.35506 Laurençot, Philippe 6 2018 Mass-conserving solutions to coagulation-fragmentation equations with nonintegrable fragment distribution function. Zbl 1397.45004 Laurençot, Philippe 3 2018 Classification of extinction profiles for a one-dimensional diffusive Hamilton-Jacobi equation with critical absorption. Zbl 1406.35083 Iagar, Razvan Gabriel; Laurençot, Philippe 1 2018 Finite time blowup for the parabolic-parabolic Keller-Segel system with critical diffusion. Zbl 1357.35060 Laurençot, Philippe; Mizoguchi, Noriko 31 2017 Some singular equations modeling MEMS. Zbl 1456.35193 Laurençot, Philippe; Walker, Christoph 21 2017 Self-similarity in a thin film Muskat problem. Zbl 1386.35238 Laurençot, Philippe; Matioc, Bogdan-Vasile 11 2017 Blow-up behavior of solutions to a degenerate parabolic-parabolic Keller-Segel system. Zbl 1378.35045 Ishige, Kazuhiro; Laurençot, Philippe; Mizoguchi, Noriko 10 2017 Finite speed of propagation and waiting time for a thin-film Muskat problem. Zbl 1386.35239 Laurençot, Philippe; Matioc, Bogdan-Vasile 8 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 5 2017 A constrained model for MEMS with varying dielectric properties. Zbl 1398.35122 Laurençot, Philippe; Walker, Christoph 4 2017 Self-similar extinction for a diffusive Hamilton-Jacobi equation with critical absorption. Zbl 1391.35096 Iagar, Razvan Gabriel; Laurençot, Philippe 3 2017 A variational approach to a stationary free boundary problem modeling MEMS. Zbl 1341.35038 Laurençot, Philippe; Walker, Christoph 8 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 6 2016 On a three-dimensional free boundary problem modeling electrostatic MEMS. Zbl 1351.35215 Laurençot, Philippe; Walker, Christoph 5 2016 Large time behavior for the fast diffusion equation with critical absorption. Zbl 1383.35111 Benachour, Said; Iagar, Razvan Gabriel; Laurençot, Philippe 1 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 26 2015 Dynamics of a free boundary problem with curvature modeling electrostatic MEMS. Zbl 1325.35291 Escher, Joachim; Laurençot, Philippe; Walker, Christoph 15 2015 Weak compactness techniques and coagulation equations. Zbl 1323.35193 Laurençot, Philippe 15 2015 Sign-preserving property for some fourth-order elliptic operators in one dimension or in radial symmetry. Zbl 1330.35114 Laurençot, Philippe; Walker, Christoph 13 2015 Absence of gelation and self-similar behavior for a coagulation-fragmentation equation. Zbl 1396.82013 Laurençot, Philippe; van Roessel, Henry 6 2015 The time singular limit for a fourth-order damped wave equation for MEMS. Zbl 1327.35253 Laurençot, Philippe; Walker, Christoph 3 2015 Traveling waves for a thin film with gravity and insoluble surfactant. Zbl 1330.35063 Escher, Joachim; Hillairet, Matthieu; Laurençot, Philippe; Walker, Christoph 3 2015 A parabolic free boundary problem modeling electrostatic MEMS. Zbl 1287.35106 Escher, Joachim; Laurençot, Philippe; Walker, Christoph 27 2014 A free boundary problem modeling electrostatic MEMS: I. Linear bending effects. Zbl 1333.35351 Laurençot, Philippe; Walker, Christoph 16 2014 A free boundary problem modeling electrostatic MEMS. II: Nonlinear bending effects. Zbl 1303.35122 Laurençot, Philippe; Walker, Christoph 13 2014 A fourth-order model for MEMS with clamped boundary conditions. Zbl 1309.35162 Laurençot, Philippe; Walker, Christoph 12 2014 A thin film approximation of the Muskat problem with gravity and capillary forces. Zbl 1307.35137 Laurençot, Philippe; Matioc, Bogdan-Vasile 8 2014 Asymptotic behavior for a singular diffusion equation with gradient absorption. Zbl 1286.35039 Iagar, Razvan Gabriel; Laurençot, Philippe 3 2014 The parabolic-parabolic Keller-Segel system with critical diffusion as a gradient flow in \(\mathbb R^d, d\geq 3\). Zbl 1282.35202 Blanchet, Adrien; Laurençot, Philippe 39 2013 A gradient flow approach to a thin film approximation of the Muskat problem. Zbl 1264.35129 Laurençot, Philippe; Matioc, Bogdan-Vasile 34 2013 A stationary free boundary problem modeling electrostatic MEMS. Zbl 1268.78004 Laurençot, Philippe; Walker, Christoph 26 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 14 2013 Existence and uniqueness of very singular solutions for a fast diffusion equation with gradient absorption. Zbl 1264.35137 Iagar, Razvan Gabriel; Laurençot, Philippe 9 2013 Eternal solutions to a singular diffusion equation with critical gradient absorption. Zbl 1295.35165 Iagar, Razvan Gabriel; Laurençot, Philippe 7 2013 Thin film approximations to the Muskat problem. Zbl 1328.35330 Escher, J.; Laurençot, P.; Matioc, B.-V. 4 2013 Weak solutions to the continuous coagulation equation with multiple fragmentation. Zbl 1236.35017 Giri, Ankik Kumar; Laurençot, Philippe; Warnecke, Gerald 21 2012 Positivity, decay, and extinction for a singular diffusion equation with gradient absorption. Zbl 1298.35115 Iagar, Razvan Gabriel; Laurençot, Philippe 16 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 12 2012 Convergence to separate variables solutions for a degenerate parabolic equation with gradient source. Zbl 1242.35160 Laurençot, Philippe; Stinner, Christian 10 2012 Finite mass self-similar blowing-up solutions of a chemotaxis system with non-linear diffusion. Zbl 1264.35057 Blanchet, Adrien; Laurençot, Philippe 10 2012 Global existence for a hydrogen storage model with full energy balance. Zbl 1238.35159 Bonetti, Elena; Colli, Pierluigi; Laurençot, Philippe 9 2012 A phase-field approximation of the Willmore flow with volume and area constraints. Zbl 1262.35120 Colli, Pierluigi; Laurençot, Philippe 8 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 5 2012 Self-similar solutions to a kinetic model for grain growth. Zbl 1255.35071 Herrmann, Michael; Laurençot, Philippe; Niethammer, Barbara 2 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 17 2011 Weak solutions to lubrication equations in the presence of strong slippage. Zbl 1282.35133 Kitavtsev, Georgy; Laurençot, Philippe; Niethammer, Barbara 8 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 6 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 6 2011 Refined asymptotics for the infinite heat equation with homogeneous Dirichlet boundary conditions. Zbl 1227.35068 Laurençot, Philippe; Stinner, Christian 5 2011 A phase-field approximation of the Willmore flow with volume constraint. Zbl 1233.35110 Colli, Pierluigi; Laurençot, Philippe 5 2011 Global existence vs. blowup in a one-dimensional Smoluchowski-Poisson system. Zbl 1250.35043 Cieślak, Tomasz; Laurençot, Philippe 4 2011 Global-in-time solutions for the isothermal Matovich-Pearson equations. Zbl 1206.35263 Feireisl, Eduard; Laurençot, Philippe; Mikelić, Andro 1 2011 Finite time blow-up for a one-dimensional quasilinear parabolic-parabolic chemotaxis system. Zbl 1270.35377 Cieślak, Tomasz; Laurençot, Philippe 69 2010 Looking for critical nonlinearity in the one-dimensional quasilinear Smoluchowski-Poisson system. Zbl 1184.35044 Cieślak, Tomasz; Laurençot, Philippe 9 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 7 2010 Mathematical models of receptor-mediated transport of morphogens. Zbl 1207.35197 Krzyżanowski, Piotr; Laurençot, Philippe; Wrzosek, Dariusz 6 2010 Nonuniversal self-similarity in a coagulation-annihilation model with constant kernels. Zbl 1207.82059 Laurençot, Philippe; van Roessel, Henry 2 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 121 2009 Exponential decay for the growth-fragmentation/cell-division equations. Zbl 1183.35038 Laurençot, Philippe; Perthame, Benoit 34 2009 Finite time blow-up for radially symmetric solutions to a critical quasilinear Smoluchowski-Poisson system. Zbl 1175.35010 Cieślak, Tomasz; Laurençot, Philippe 22 2009 Fermi-Dirac-Fokker-Planck equation: well-posedness and long-time asymptotics. Zbl 1181.35292 Carrillo, José A.; Laurençot, Philippe; Rosado, Jesús 18 2009 Blowup of solutions to a diffusive aggregation model. Zbl 1177.35188 Biler, Piotr; Karch, Grzegorz; Laurençot, Philippe 13 2009 Marcus-Lushnikov processes, Smoluchowski’s and Flory’s models. Zbl 1169.60027 Fournier, Nicolas; Laurençot, Philippe 9 2009 Non-diffusive large time behavior for a degenerate viscous Hamilton-Jacobi equation. Zbl 1175.35019 Laurençot, Philippe 8 2009 Well-posedness and convergence to the steady state for a model of morphogen transport. Zbl 1178.35071 Krzyżanowski, Piotr; Laurençot, Philippe; Wrzosek, Dariusz 6 2009 Sharp decay estimates and vanishing viscosity for diffusive Hamilton-Jacobi equations. Zbl 1175.35031 Benachour, Saïd; Ben-Artzi, Matania; Laurençot, Philippe 6 2009 Self-similar solutions with fat tails for a coagulation equation with nonlocal drift. Zbl 1176.35047 Herrmann, Michael; Laurençot, Philippe; Niethammer, Barbara 3 2009 Proteus mirabilis swarm-colony development with drift. Zbl 1176.92015 Laurençot, Philippe; Walker, Christoph 3 2009 Global existence and convergence to steady states in a chemorepulsion system. Zbl 1156.35325 Cieślak, Tomasz; Laurençot, Philippe; Morales-Rodrigo, Cristian 70 2008 Gradient estimates for a degenerate parabolic equation with gradient absorption and applications. Zbl 1145.35049 Bartier, Jean-Philippe; Laurençot, Philippe 17 2008 An age and spatially structured population model for Proteus Mirabilis swarm-colony development. Zbl 1337.92023 Laurençot, Ph.; Walker, Ch. 8 2008 ...and 90 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,574 Authors 98 Laurençot, Philippe 42 Winkler, Michael 39 Carrillo de la Plata, José Antonio 35 Walker, Christoph 28 Velázquez, Juan J. L. 26 Mu, Chunlai 22 Niethammer, Barbara 20 Rocca, Elisabetta 19 Colli, Pierluigi 18 Banasiak, Jacek 18 Calvez, Vincent 18 Giri, Ankik Kumar 18 Zheng, Jiashan 17 Iagar, Razvan Gabriel 17 Kumar, Jitendra 16 Bellomo, Nicola 16 Jiang, Jie 16 Perthame, Benoît 15 Mischler, Stéphane 14 Escher, Joachim 14 Guillén González, Francisco M. 13 Schimperna, Giulio 13 Wang, Zhian 12 Biler, Piotr 12 Cañizo, José Alfredo 12 Gabriel, Pierre 12 Karch, Grzegorz 12 Matioc, Bogdan-Vasile 12 Sánchez, Ariel 12 Singh, Mehakpreet 12 Tao, Youshan 11 Escobedo Martínez, Miguel 11 Fujie, Kentaro 11 Kumar, Rajesh 11 Lin, Ke 11 Saha, Jitraj 10 Bellouquid, Abdelghani 10 Doumic, Marie 10 Gilardi, Gianni 10 Jin, Haiyang 10 Lienstromberg, Christina 10 Ogawa, Takayoshi 10 Rodríguez-Bellido, Maria Angeles 10 Wang, Liangchen 10 Xiang, Tian 10 Zheng, Pan 9 Cieślak, Tomasz 9 Dolbeault, Jean 9 Fournier, Nicolas 9 Granero Belinchón, Rafael 9 Miranville, Alain M. 9 Vauchelet, Nicolas 9 Warnecke, Gerald G. 9 Wrzosek, Dariusz M. 9 Zinsl, Jonathan 8 Barik, Prasanta Kumar 8 Cancès, Clément 8 Desvillettes, Laurent 8 Ignat, Liviu I. 8 Krejčí, Pavel 8 Mizoguchi, Noriko 8 Rueda-Gómez, Diego Armando 8 Souplet, Philippe 8 Stinner, Christian 8 Walker, Gavin 8 Wang, Yifu 7 Bedrossian, Jacob 7 Boldrini, José Luiz 7 Feireisl, Eduard 7 Grasselli, Maurizio 7 Marinoschi, Gabriela 7 Recupero, Vincenzo 7 Sprekels, Jürgen 7 Throm, Sebastian 6 Alouini, Brahim 6 Blanchet, Adrien 6 Chen, Li 6 Hoffmann, Franca 6 Lamb, Wilson 6 Liu, Jianguo 6 Lods, Bertrand 6 Matthes, Daniel 6 Nieto, Juanjo 6 Soler, Juan S. 6 Wakui, Hiroshi 6 Wang, Bixiang 6 Wang, Yilong 6 Yokota, Tomomi 6 Zhong, Chengkui 5 Bagland, Véronique 5 Bian, Shen 5 Bonetti, Elena 5 Burczak, Jan 5 Di Francesco, Marco 5 Fellner, Klemens 5 Ferreira, Marina A. 5 Goubet, Olivier 5 Herrmann, Michael 5 James, François 5 Karachalios, Nikos I. ...and 1,474 more Authors all top 5 Cited in 253 Serials 112 Journal of Differential Equations 82 Journal of Mathematical Analysis and Applications 55 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 52 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 40 Mathematical Methods in the Applied Sciences 38 Discrete and Continuous Dynamical Systems 33 Nonlinear Analysis. Real World Applications 32 ZAMP. Zeitschrift für angewandte Mathematik und Physik 30 Discrete and Continuous Dynamical Systems. Series B 26 Journal of Statistical Physics 26 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 26 SIAM Journal on Mathematical Analysis 24 Communications in Partial Differential Equations 23 Journal of Mathematical Biology 23 Calculus of Variations and Partial Differential Equations 22 Physica D 22 Kinetic and Related Models 21 Acta Applicandae Mathematicae 20 Communications on Pure and Applied Analysis 19 Journal de Mathématiques Pures et Appliquées. 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(English Edition) 5 Boundary Value Problems 4 Journal of Engineering Mathematics 4 The Annals of Probability 4 Manuscripta Mathematica 4 SIAM Journal on Control and Optimization 4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 4 Stochastic Processes and their Applications 4 Communications in Nonlinear Science and Numerical Simulation 4 SIAM Journal on Applied Dynamical Systems 4 Mathematical Modelling of Natural Phenomena 4 Advances in Nonlinear Analysis 4 Journal of Elliptic and Parabolic Equations 4 AIMS Mathematics 3 Journal d’Analyse Mathématique 3 Reports on Mathematical Physics 3 Bulletin of Mathematical Biology 3 Advances in Mathematics 3 Journal of the London Mathematical Society. Second Series 3 Mathematics and Computers in Simulation 3 SIAM Journal on Numerical Analysis 3 Bulletin of the Korean Mathematical Society 3 Journal of Integral Equations and Applications 3 Applied Mathematical Modelling 3 Annales de la Faculté des Sciences de Toulouse. 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Mathematical, Physical and Engineering Sciences 3 Annales Henri Lebesgue 2 Advances in Applied Probability ...and 153 more Serials all top 5 Cited in 47 Fields 1,196 Partial differential equations (35-XX) 518 Biology and other natural sciences (92-XX) 219 Statistical mechanics, structure of matter (82-XX) 163 Numerical analysis (65-XX) 158 Integral equations (45-XX) 136 Fluid mechanics (76-XX) 91 Ordinary differential equations (34-XX) 85 Operator theory (47-XX) 71 Probability theory and stochastic processes (60-XX) 71 Mechanics of deformable solids (74-XX) 63 Classical thermodynamics, heat transfer (80-XX) 61 Calculus of variations and optimal control; optimization (49-XX) 59 Dynamical systems and ergodic theory (37-XX) 22 Systems theory; control (93-XX) 21 Optics, electromagnetic theory (78-XX) 14 Functional analysis (46-XX) 13 Real functions (26-XX) 10 Measure and integration (28-XX) 10 Global analysis, analysis on manifolds (58-XX) 9 Mechanics of particles and systems (70-XX) 7 Combinatorics (05-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 7 Astronomy and astrophysics (85-XX) 7 Operations research, mathematical programming (90-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Integral transforms, operational calculus (44-XX) 6 Differential geometry (53-XX) 5 General and overarching topics; collections (00-XX) 5 Statistics (62-XX) 5 Geophysics (86-XX) 4 Functions of a complex variable (30-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Quantum theory (81-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Difference and functional equations (39-XX) 2 Approximations and expansions (41-XX) 2 Information and communication theory, circuits (94-XX) 2 Mathematics education (97-XX) 1 Topological groups, Lie groups (22-XX) 1 Special functions (33-XX) 1 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Computer science (68-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year