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## Laurençot, Philippe

Compute Distance To:
 Author ID: laurencot.philippe Published as: Laurencot, Philippe; Laurençot, P.; Laurençot, Ph.; Laurençot, Philippe Homepage: http://www.math.univ-toulouse.fr/~laurenco/ External Links: MGP
 Documents Indexed: 196 Publications since 1992, including 2 Books Reviewing Activity: 202 Reviews
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#### Co-Authors

 37 single-authored 29 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 4 Blanchet, Adrien 4 Carrillo de la Plata, José Antonio 4 Fournier, Nicolas G. 4 Hillairet, Matthieu 4 Niethammer, Barbara 4 Schmitt, Didier 4 Stinner, Christian 3 Giri, Ankik Kumar 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 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 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 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 Velázquez, Juan J. L. 1 Warnecke, Gerald G.
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#### Serials

 10 Journal of Differential Equations 10 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 8 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 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 Archiv der Mathematik 1 Bulletin of the London Mathematical Society 1 Czechoslovak Mathematical Journal 1 Journal of the London Mathematical Society. Second Series 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 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

 162 Partial differential equations (35-XX) 44 Statistical mechanics, structure of matter (82-XX) 34 Integral equations (45-XX) 24 Biology and other natural sciences (92-XX) 16 Fluid mechanics (76-XX) 15 Ordinary differential equations (34-XX) 14 Mechanics of deformable solids (74-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

166 Publications have been cited 1,894 times in 1,107 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
Biler, Piotr; Karch, Grzegorz; Laurençot, Philippe; Nadzieja, Tadeusz
2006
Gelation and mass conservation in coagulation-fragmentation models. Zbl 1133.82316
Escobedo, M.; Laurençot, Ph.; Mischler, S.; Perthame, B.
2003
Global existence and convergence to steady states in a chemorepulsion system. Zbl 1156.35325
Cieślak, Tomasz; Laurençot, Philippe; Morales-Rodrigo, Cristian
2008
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
Existence of self-similar solutions to Smoluchowski’s coagulation equation. Zbl 1084.82006
Fournier, Nicolas; Laurençot, Philippe
2005
On convergence to equilibria for the Keller-Segel chemotaxis model. Zbl 1139.35018
Feireisl, Eduard; Laurençot, Philippe; Petzeltová, Hana
2007
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
Blanchet, Adrien; Laurençot, Philippe
2013
On a class of continuous coagulation-fragmentation equations. Zbl 0978.35083
Laurençot, Philippe
2000
Global solutions to viscous Hamilton-Jacobi equations with irregular initial data. Zbl 0935.35033
Benachour, Said; Laurençot, Philippe
1999
A gradient flow approach to a thin film approximation of the Muskat problem. Zbl 1264.35129
Laurençot, Philippe; Matioc, Bogdan-Vasile
2013
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 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
Well-posedness of Smoluchowski’s coagulation equation for a class of homogeneous kernels. Zbl 1106.45003
Fournier, Nicolas; Laurençot, Philippe
2006
Asymptotic profiles of solutions to viscous Hamilton–Jacobi equations. Zbl 1064.35075
Benachour, Saïd; Karch, Grzegorz; Laurençot, Philippe
2004
A parabolic free boundary problem modeling electrostatic MEMS. Zbl 1287.35106
Escher, Joachim; Laurençot, Philippe; Walker, Christoph
2014
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
Global attractors for degenerate parabolic equations on unbounded domains. Zbl 0862.35058
Feireisl, E.; Laurençot, Ph.; Simondon, F.
1996
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
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 chemotaxis model with threshold density and degenerate diffusion. Zbl 1090.35055
Laurençot, Philippe; Wrzosek, Dariusz
2005
Global existence for the discrete diffusive coagulation-fragmentation equations in $$L^1$$. Zbl 1036.35089
Laurençot, Philippe; Mischler, Stéphane
2002
From the Becker-Döring to the Lifshitz-Slyozov-Wagner equations. Zbl 1001.82077
Laurençot, Philippe; Mischler, Stéphane
2002
On the growth of mass for a viscous Hamilton-Jacobi equation. Zbl 1031.35054
Laurençot, Philippe; Souplet, Philippe
2003
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 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
Finite time blow-up for radially symmetric solutions to a critical quasilinear Smoluchowski-Poisson system. Zbl 1175.35010
Cieślak, Tomasz; Laurençot, Philippe
2009
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
2006
Well-posedness for a model of prion proliferation dynamics. Zbl 1121.35024
Laurençot, Philippe; Walker, Christoph
2007
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
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
Orthonormal wavelets, analysis of operators, and applications to numerical analysis. Zbl 0764.65066
Jaffard, S.; Laurençot, Ph.
1992
Finite time singularity in a free boundary problem modeling MEMS. Zbl 1290.35259
Escher, Joachim; Laurençot, Philippe; Walker, Christoph
2013
Fermi-Dirac-Fokker-Planck equation: well-posedness and long-time asymptotics. Zbl 1181.35292
Carrillo, José A.; Laurençot, Philippe; Rosado, Jesús
2009
Localized non-diffusive asymptotic patterns for nonlinear parabolic equations with gradient absorption. Zbl 1134.35070
Laurençot, Philippe; Vázquez, Juan Luis
2007
Generalized variational inequalities. Zbl 1001.49014
Krejčí, Pavel; Laurençot, Philippe
2002
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
Mass-conserving solutions and non-conservative approximation to the Smoluchowski coagulation equation. Zbl 1152.82315
Filbet, Francis; Laurençot, Philippe
2004
Extinction and decay estimates for viscous Hamilton-Jacobi equations in $${\mathbb{R}}^N$$. Zbl 1001.35007
Benachour, Said; Laurençot, Philippe; Schmitt, Didier
2002
Positivity, decay, and extinction for a singular diffusion equation with gradient absorption. Zbl 1298.35115
Iagar, Razvan Gabriel; Laurençot, Philippe
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
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
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
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
Dynamics of a free boundary problem with curvature modeling electrostatic MEMS. Zbl 1325.35291
Escher, Joachim; Laurençot, Philippe; Walker, Christoph
2015
Convergence to separate variables solutions for a degenerate parabolic equation with gradient source. Zbl 1242.35160
Laurençot, Philippe; Stinner, Christian
2012
Blowup of solutions to a diffusive aggregation model. Zbl 1177.35188
Biler, Piotr; Karch, Grzegorz; Laurençot, Philippe
2009
The discrete coagulation equations with multiple fragmentation. Zbl 1016.34051
Laurençot, Philippe
2002
Very singular solutions to a nonlinear parabolic equation with absorption. I: Existence. Zbl 0973.35100
Benachour, Said; Laurençot, Philippe
2001
Weak solutions to a Penrose-Fife model with Fourier law for the temperature. Zbl 0919.35137
Laurençot, Ph.
1998
A free boundary problem modeling electrostatic MEMS. II: Nonlinear bending effects. Zbl 1303.35122
Laurençot, Philippe; Walker, Christoph
2014
The discrete coagulation equations with collisional breakage. Zbl 1126.82320
Laurençot, Philippe; Wrzosek, Dariusz
2001
Compact attractor for weakly damped driven Korteweg-de Vries equations on the real line. Zbl 0928.35145
Laurençot, Ph.
1998
Long-time behaviour for porous medium equations with convection. Zbl 0906.35050
Laurençot, Ph.; Simondon, F.
1998
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
Finite mass self-similar blowing-up solutions of a chemotaxis system with non-linear diffusion. Zbl 1264.35057
Blanchet, Adrien; Laurençot, Philippe
2012
Non-isothermal Smoluchowski-Poisson equations as a singular limit of the Navier-Stokes-Fourier-Poisson system. Zbl 1149.35072
Feireisl, Eduard; Laurençot, Philippe
2007
Asymptotic behavior for a viscous Hamilton-Jacobi equation with critical exponent. Zbl 1124.35008
Gallay, Thierry; Laurençot, Philippe
2007
Asymptotic self-similarity for a simplified model for radiating gases. Zbl 1070.35065
Laurençot, Philippe
2005
The Lifshitz-Slyozov-Wagner equation with conserved total volume. Zbl 1031.35099
Laurençot, Philippe
2002
Existence and stabilization of solutions to the phase-field model with memory. Zbl 0925.45006
Colli, Pierluigi; Laurençot, Philippe
1998
The Becker-Döring model with diffusion: II. Long time behavior. Zbl 0913.35070
Laurençot, Philippe; Wrzosek, Dariusz
1998
Blow-up behavior of solutions to a degenerate parabolic-parabolic Keller-Segel system. Zbl 1378.35045
Ishige, Kazuhiro; Laurençot, Philippe; Mizoguchi, Noriko
2017
Sign-preserving property for some fourth-order elliptic operators in one dimension or in radial symmetry. Zbl 1330.35114
Laurençot, Philippe; Walker, Christoph
2015
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
Global existence for a hydrogen storage model with full energy balance. Zbl 1238.35159
Bonetti, Elena; Colli, Pierluigi; Laurençot, Philippe
2012
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
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
Marcus-Lushnikov processes, Smoluchowski’s and Flory’s models. Zbl 1169.60027
Fournier, Nicolas; Laurençot, Philippe
2009
An age and spatially structured population model for Proteus Mirabilis swarm-colony development. Zbl 1337.92023
Laurençot, Ph.; Walker, Ch.
2008
On the Oort-Hulst-Safronov coagulation equation and its relation to the Smoluchowski equation. Zbl 1047.45006
Lachowicz, Miroslaw; Laurençot, Philippe; Wrzosek, Dariusz
2003
The Becker-Döring model with diffusion. I: Basic properties of solutions. Zbl 0894.35055
Laurençot, Philippe; Wrzosek, Dariusz
1998
Oscillatory dynamics in Smoluchowski’s coagulation equation with diagonal kernel. Zbl 1407.82039
Laurençot, Philippe; Niethammer, Barbara; Velázquez, Juan J. L.
2018
Absence of gelation and self-similar behavior for a coagulation-fragmentation equation. Zbl 1396.82013
Laurençot, Philippe; van Roessel, Henry
2015
Weak solutions to lubrication equations in the presence of strong slippage. Zbl 1282.35133
Kitavtsev, Georgy; Laurençot, Philippe; Niethammer, Barbara
2011
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
Well-posedness and convergence to the steady state for a model of morphogen transport. Zbl 1178.35071
Krzyżanowski, Piotr; Laurençot, Philippe; Wrzosek, Dariusz
2009
Non-diffusive large time behavior for a degenerate viscous Hamilton-Jacobi equation. Zbl 1175.35019
Laurençot, Philippe
2009
Convergence to steady states for a one-dimensional viscous Hamilton-Jacobi equation with Dirichlet boundary conditions. Zbl 1221.35195
Laurençot, Philippe
2007
On a kinetic equation for coalescing particles. Zbl 1126.82036
Escobedo, Miguel; Laurençot, Philippe; Mischler, Stéphane
2004
Numerical approximation of the Lifshitz-Slyozov-Wagner equation. Zbl 1053.35085
Filbet, Francis; Laurençot, Philippe
2003
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 the Lifshitz-Slyozov-Wagner equation. Zbl 1023.82005
Laurençot, Philippe
2001
Fragmentation-diffusion model. Existence of solutions and their asymptotic behaviour. Zbl 0912.35031
Laurençot, Philippe; Wrzosek, Dariusz
1998
Mass-conserving solutions to the Smoluchowski coagulation equation with singular kernel. Zbl 07220507
Barik, Prasanta Kumar; Giri, Ankik Kumar; Laurençot, Philippe
2020
Shape derivative of the Dirichlet energy for a transmission problem. Zbl 1440.35045
Laurençot, Philippe; Walker, Christoph
2020
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
Global bounded and unbounded solutions to a chemotaxis system with indirect signal production. Zbl 1423.35037
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
Mass-conserving solutions to coagulation-fragmentation equations with nonintegrable fragment distribution function. Zbl 1397.45004
Laurençot, Philippe
2018
Heterogeneous dielectric properties in models for microelectromechanical systems. Zbl 1391.35371
Laurençot, Philippe; Walker, Christoph
2018
Finite time blowup for the parabolic-parabolic Keller-Segel system with critical diffusion. Zbl 1357.35060
Laurençot, Philippe; Mizoguchi, Noriko
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
Self-similarity in a thin film Muskat problem. Zbl 1386.35238
Laurençot, Philippe; Matioc, Bogdan-Vasile
2017
Finite speed of propagation and waiting time for a thin-film Muskat problem. Zbl 1386.35239
Laurençot, Philippe; Matioc, Bogdan-Vasile
2017
A constrained model for MEMS with varying dielectric properties. Zbl 1398.35122
Laurençot, Philippe; Walker, Christoph
2017
Self-similar extinction for a diffusive Hamilton-Jacobi equation with critical absorption. Zbl 1391.35096
Iagar, Razvan Gabriel; Laurençot, Philippe
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
Blanchet, Adrien; Laurençot, Philippe
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. 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
Positivity, decay, and extinction for a singular diffusion equation with gradient absorption. Zbl 1298.35115
Iagar, Razvan Gabriel; Laurençot, Philippe
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
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
Blanchet, Adrien; Laurençot, Philippe
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
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 lubrication equations in the presence of strong slippage. Zbl 1282.35133
Kitavtsev, Georgy; Laurençot, Philippe; Niethammer, Barbara
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
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
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
Well-posedness and convergence to the steady state for a model of morphogen transport. Zbl 1178.35071
Krzyżanowski, Piotr; Laurençot, Philippe; Wrzosek, Dariusz
2009
Non-diffusive large time behavior for a degenerate viscous Hamilton-Jacobi equation. Zbl 1175.35019
Laurençot, Philippe
2009
Sharp decay estimates and vanishing viscosity for diffusive Hamilton-Jacobi equations. Zbl 1175.35031
Benachour, Saïd; Ben-Artzi, Matania; Laurençot, Philippe
2009
Proteus mirabilis swarm-colony development with drift. Zbl 1176.92015
Laurençot, Philippe; Walker, Christoph
2009
Self-similar solutions with fat tails for a coagulation equation with nonlocal drift. Zbl 1176.35047
Herrmann, Michael; Laurençot, Philippe; Niethammer, Barbara
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
Non-isothermal Smoluchowski-Poisson equations as a singular limit of the Navier-Stokes-Fourier-Poisson system. Zbl 1149.35072
Feireisl, Eduard; Laurençot, Philippe
2007
Asymptotic behavior for a viscous Hamilton-Jacobi equation with critical exponent. Zbl 1124.35008
Gallay, Thierry; 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
Biler, Piotr; Karch, Grzegorz; Laurençot, Philippe; Nadzieja, Tadeusz
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
Biler, Piotr; Karch, Grzegorz; Laurençot, Philippe; Nadzieja, Tadeusz
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
Convergence to self-similar solutions for a coagulation equation. Zbl 1101.82017
Laurençot, Philippe
2005
Numerical simulation of the Smoluchowski coagulation equation. Zbl 1086.65123
Filbet, Francis; Laurençot, Philippe
2004
On coalescence equations and related models. Zbl 1105.82027
Laurençot, Philippe; Mischler, Stéphane
2004
Asymptotic profiles of solutions to viscous Hamilton–Jacobi equations. Zbl 1064.35075
Benachour, Saïd; Karch, Grzegorz; Laurençot, Philippe
2004
...and 66 more Documents
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#### Cited by 1,241 Authors

 76 Laurençot, Philippe 36 Carrillo de la Plata, José Antonio 26 Walker, Christoph 23 Winkler, Michael 20 Niethammer, Barbara 20 Velázquez, Juan J. L. 19 Colli, Pierluigi 18 Mu, Chunlai 18 Rocca, Elisabetta 16 Bellomo, Nicola 15 Calvez, Vincent 15 Kumar, Jitendra 15 Mischler, Stéphane 14 Banasiak, Jacek 14 Escher, Joachim 13 Bellouquid, Abdelghani 13 Zheng, Jiashan 12 Perthame, Benoît 12 Schimperna, Giulio 11 Escobedo Martínez, Miguel 10 Cañizo, José Alfredo 10 Gilardi, Gianni 10 Giri, Ankik Kumar 10 Iagar, Razvan Gabriel 10 Lin, Ke 10 Tao, Youshan 9 Biler, Piotr 9 Cieślak, Tomasz 9 Doumic, Marie 9 Gabriel, Pierre 9 Granero Belinchón, Rafael 9 Jin, Hai-Yang 9 Karch, Grzegorz 9 Matioc, Bogdan-Vasile 9 Vauchelet, Nicolas 9 Wang, Zhian 9 Warnecke, Gerald G. 9 Wrzosek, Dariusz M. 9 Zinsl, Jonathan 8 Dolbeault, Jean 8 Fournier, Nicolas G. 8 Lienstromberg, Christina 8 Wang, Yifu 8 Xiang, Tian 7 Boldrini, José Luiz 7 Feireisl, Eduard 7 Grasselli, Maurizio 7 Guillén González, Francisco M. 7 Miranville, Alain M. 7 Mizoguchi, Noriko 7 Rodríguez-Bellido, Maria Angeles 7 Saha, Jitraj 7 Souplet, Philippe 7 Sprekels, Jürgen 7 Stinner, Christian 6 Bedrossian, Jacob 6 Blanchet, Adrien 6 Cancès, Clément 6 Ignat, Liviu I. 6 Jiang, Jie 6 Krejčí, Pavel 6 Lamb, Wilson 6 Marinoschi, Gabriela 6 Ogawa, Takayoshi 6 Soler, Juan S. 6 Throm, Sebastian 6 Wang, Bixiang 6 Wang, Liangchen 6 Wang, Yilong 5 Barik, Prasanta Kumar 5 Bonetti, Elena 5 Burczak, Jan 5 Desvillettes, Laurent 5 Di Francesco, Marco 5 Fellner, Klemens 5 Fujie, Kentarou 5 Goubet, Olivier 5 Herrmann, Michael 5 Hoffmann, Franca 5 James, François 5 Klar, Axel 5 Liu, Jianguo 5 Lods, Bertrand 5 Nieto, Juanjo 5 Pego, Robert L. 5 Planas, Gabriela 5 Recupero, Vincenzo 5 Rueda-Gómez, Diego A. 5 Sánchez, Ariel 5 Sugiyama, Yoshie 5 Zheng, Pan 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 1,141 more Authors
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#### Cited in 203 Serials

 88 Journal of Differential Equations 70 Journal of Mathematical Analysis and Applications 49 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 48 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 30 Mathematical Methods in the Applied Sciences 30 Discrete and Continuous Dynamical Systems 27 Nonlinear Analysis. Real World Applications 24 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 23 Journal of Statistical Physics 22 Physica D 21 ZAMP. Zeitschrift für angewandte Mathematik und Physik 21 Communications in Partial Differential Equations 19 Journal of Mathematical Biology 19 Discrete and Continuous Dynamical Systems. Series B 18 Journal de Mathématiques Pures et Appliquées. Neuvième Série 16 Kinetic and Related Models 15 SIAM Journal on Mathematical Analysis 14 Communications on Pure and Applied Analysis 12 Discrete and Continuous Dynamical Systems. Series S 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 Acta Applicandae Mathematicae 11 Applied Mathematics Letters 11 Mathematical and Computer Modelling 11 Calculus of Variations and Partial Differential Equations 11 Journal of Evolution Equations 10 Archive for Rational Mechanics and Analysis 10 Journal of Functional Analysis 10 Journal of Nonlinear Science 10 Comptes Rendus. Mathématique. Académie des Sciences, Paris 9 Computers & Mathematics with Applications 9 Journal of Computational Physics 8 Nonlinearity 8 Applied Mathematics and Computation 7 Applicable Analysis 7 Mathematics of Computation 7 Monatshefte für Mathematik 7 Proceedings of the American Mathematical Society 7 Transactions of the American Mathematical Society 7 Applications of Mathematics 7 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 6 Mathematische Annalen 6 SIAM Journal on Applied Mathematics 6 NoDEA. Nonlinear Differential Equations and Applications 6 Networks and Heterogeneous Media 5 Applied Mathematics and Optimization 5 Numerische Mathematik 5 Journal of Scientific Computing 5 Journal of Dynamics and Differential Equations 5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 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 Advanced Nonlinear Studies 4 Boundary Value Problems 3 Journal d’Analyse Mathématique 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 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 Journal of Theoretical Biology 3 Nonlinear Analysis. Theory, Methods & Applications 3 Journal of Elliptic and Parabolic Equations 2 Advances in Applied Probability 2 Journal of Fluid Mechanics 2 Reports on Mathematical Physics 2 Transport Theory and Statistical Physics 2 Wave Motion 2 Bulletin of Mathematical Biology 2 Advances in Mathematics 2 The Annals of Probability 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 Numerical Functional Analysis and Optimization 2 SIAM Journal on Control and Optimization 2 Stochastic Analysis and Applications 2 Probability Theory and Related Fields 2 Revista Matemática Iberoamericana 2 Computational Mechanics 2 Journal of Global Optimization 2 International Journal of Computer Mathematics ...and 103 more Serials
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#### Cited in 44 Fields

 891 Partial differential equations (35-XX) 375 Biology and other natural sciences (92-XX) 179 Statistical mechanics, structure of matter (82-XX) 118 Integral equations (45-XX) 116 Numerical analysis (65-XX) 110 Fluid mechanics (76-XX) 75 Ordinary differential equations (34-XX) 57 Classical thermodynamics, heat transfer (80-XX) 56 Mechanics of deformable solids (74-XX) 54 Operator theory (47-XX) 48 Dynamical systems and ergodic theory (37-XX) 48 Calculus of variations and optimal control; optimization (49-XX) 48 Probability theory and stochastic processes (60-XX) 15 Optics, electromagnetic theory (78-XX) 15 Systems theory; control (93-XX) 8 Functional analysis (46-XX) 8 Global analysis, analysis on manifolds (58-XX) 8 Mechanics of particles and systems (70-XX) 7 Measure and integration (28-XX) 7 Astronomy and astrophysics (85-XX) 6 Real functions (26-XX) 6 Differential geometry (53-XX) 6 Operations research, mathematical programming (90-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Statistics (62-XX) 3 Combinatorics (05-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 Integral transforms, operational calculus (44-XX) 2 Quantum theory (81-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 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 Relativity and gravitational theory (83-XX) 1 Geophysics (86-XX) 1 Mathematics education (97-XX)