Edit Profile (opens in new tab) Mellet, Antoine Compute Distance To: Compute Author ID: mellet.antoine Published as: Mellet, Antoine; Mellet, A. Documents Indexed: 60 Publications since 2001 Co-Authors: 36 Co-Authors with 53 Joint Publications 1,241 Co-Co-Authors all top 5 Co-Authors 6 single-authored 8 Caffarelli, Luis Ángel 7 Vasseur, Alexis F. 4 Goudon, Thierry 4 Kim, Inwon Christina 4 Trivisa, Konstantina 3 Ben Abdallah, Naoufel 3 Imbert, Cyril 3 Karper, Trygve Klovning 3 Lee, Ki-Ahm 3 Puel, Marjolaine 3 Roquejoffre, Jean-Michel 3 Sire, Yannick 2 Cesbron, Ludovic 2 Cucchi, Alessandro 2 Degond, Pierre 2 Delgadino, Matias Gonzalo 2 Meunier, Nicolas 2 Mischler, Stéphane 2 Perthame, Benoît 1 Aceves-Sánchez, Pedro 1 Bourgade, Jean-Pierre 1 Carrillo de la Plata, José Antonio 1 Guillen, Nestor 1 Jabin, Pierre-Emmanuel 1 Latocha, Vladimir 1 Maier, Matthias Sebastian 1 Margetis, Dionisios 1 Merino-Aceituno, Sara 1 Mieussens, Luc 1 Molina-Fructuoso, Martin 1 Mouhot, Clément 1 Poupaud, Frédéric 1 Quirós Gracián, Fernando 1 Ryzhik, Lenya 1 Vovelle, Julien 1 Wu, Yijing all top 5 Serials 5 Archive for Rational Mechanics and Analysis 5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 3 Communications in Mathematical Physics 3 Asymptotic Analysis 3 Communications in Partial Differential Equations 3 SIAM Journal on Mathematical Analysis 2 Communications on Pure and Applied Mathematics 2 Journal of Differential Equations 2 Journal of Functional Analysis 2 Monatshefte für Mathematik 2 Transactions of the American Mathematical Society 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Applied Mathematics Letters 2 Calculus of Variations and Partial Differential Equations 2 Discrete and Continuous Dynamical Systems 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Physics 1 Journal of Statistical Physics 1 Nonlinearity 1 Advances in Mathematics 1 Indiana University Mathematics Journal 1 Journal of Computational and Applied Mathematics 1 Quarterly of Applied Mathematics 1 Mathematical and Computer Modelling 1 Methods and Applications of Analysis 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Interfaces and Free Boundaries 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Communications in Mathematical Sciences 1 Networks and Heterogeneous Media 1 Kinetic and Related Models 1 Séminaire Laurent Schwartz. EDP et Applications all top 5 Fields 51 Partial differential equations (35-XX) 29 Fluid mechanics (76-XX) 16 Statistical mechanics, structure of matter (82-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 6 Mechanics of deformable solids (74-XX) 5 Classical thermodynamics, heat transfer (80-XX) 5 Biology and other natural sciences (92-XX) 4 Operator theory (47-XX) 3 Real functions (26-XX) 3 Differential geometry (53-XX) 2 Integral equations (45-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Manifolds and cell complexes (57-XX) 1 Optics, electromagnetic theory (78-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 54 Publications have been cited 977 times in 664 Documents Cited by ▼ Year ▼ On the barotropic compressible Navier-Stokes equations. Zbl 1149.35070Mellet, A.; Vasseur, A. 123 2007 Existence and uniqueness of global strong solutions for one-dimensional compressible Navier-Stokes equations. Zbl 1141.76054Mellet, A.; Vasseur, A. 86 2008 Asymptotic analysis for a Vlasov-Fokker-Planck compressible Navier-Stokes system of equations. Zbl 1155.35415Mellet, A.; Vasseur, A. 80 2008 Fractional diffusion limit for collisional kinetic equations. Zbl 1294.82033Mellet, Antoine; Mischler, Stéphane; Mouhot, Clément 76 2011 Global weak solutions for a Vlasov-Fokker-Planck/Navier-Stokes system of equations. Zbl 1136.76042Mellet, A.; Vasseur, A. 72 2007 Hydrodynamic limit of the kinetic Cucker-Smale flocking model. Zbl 1309.35180Karper, Trygve K.; Mellet, Antoine; Trivisa, Konstantina 46 2015 Regularity of local minimizers of the interaction energy via obstacle problems. Zbl 1337.49066Carrillo, J. A.; Delgadino, M. G.; Mellet, A. 39 2016 Existence of weak solutions to kinetic flocking models. Zbl 1295.35371Karper, Trygve K.; Mellet, Antoine; Trivisa, Konstantina 38 2013 Stability of generalized transition fronts. Zbl 1173.35021Mellet, Antoine; Nolen, James; Roquejoffre, Jean-Michel; Ryzhik, Lenya 32 2009 Generalized fronts for one-dimensional reaction-diffusion equations. Zbl 1180.35294Mellet, Antoine; Roquejoffre, Jean-Michel; Sire, Yannick 30 2010 Fractional diffusion limit for collisional kinetic equations: a moments method. Zbl 1294.82032Mellet, Antoine 30 2010 A Hele-Shaw problem for tumor growth. Zbl 1377.35245Mellet, Antoine; Perthame, Benoît; Quirós, Fernando 22 2017 Anomalous diffusion limit for kinetic equations with degenerate collision frequency. Zbl 1331.76106Ben Abdallah, Naoufel; Mellet, Antoine; Puel, Marjolaine 21 2011 Homogenization and flame propagation in periodic excitable media: the asymptotic speed of propagation. Zbl 1093.35010Caffarelli, L. A.; Lee, K.-A.; Mellet, A. 19 2006 Fractional diffusion limit for collisional kinetic equations: a Hilbert expansion approach. Zbl 1242.76304Ben Abdallah, Naoufel; Mellet, Antoine; Puel, Marjolaine 18 2011 Capillary drops: contact angle hysteresis and sticking drops. Zbl 1168.76007Caffarelli, L. A.; Mellet, A. 17 2007 Anomalous transport of particles in plasma physics. Zbl 1248.76159Cesbron, L.; Mellet, A.; Trivisa, K. 17 2012 Random homogenization of an obstacle problem. Zbl 1180.35069Caffarelli, L. A.; Mellet, A. 16 2009 On strong local alignment in the kinetic Cucker-Smale model. Zbl 1276.35142Karper, Trygve K.; Mellet, Antoine; Trivisa, Konstantina 15 2014 Singular limit and homogenization for flame propagation in periodic excitable media. Zbl 1058.76070Caffarelli, Luis A.; Lee, Ki-Ahm; Mellet, Antoine 14 2004 Existence and asymptotics of fronts in non local combustion models. Zbl 1293.35042Mellet, Antoine; Roquejoffre, Jean-Michel; Sire, Yannick 12 2014 Random homogenization of fractional obstacle problems. Zbl 1156.74359Caffarelli, Luis; Mellet, Antoine 11 2008 Homogenization and diffusion asymptotics of the linear Boltzmann equation. Zbl 1070.35032Goudon, Thierry; Mellet, Antoine 11 2003 Capillary drops on an inhomogeneous surface. Zbl 1200.76053Caffarelli, L. A.; Mellet, A. 10 2007 Homogenization of a Hele-Shaw problem in periodic and random media. Zbl 1251.76015Kim, Inwon C.; Mellet, Antoine 10 2009 Anomalous energy transport in FPU-\(\beta\) chain. Zbl 1360.82082Mellet, Antoine; Merino-Aceituno, Sara 10 2015 Traveling waves for a boundary reaction-diffusion equation. Zbl 1255.35072Caffarelli, L.; Mellet, A.; Sire, Y. 8 2012 The thin film equation with non-zero contact angle: A singular perturbation approach. Zbl 1323.35063Mellet, A. 8 2015 Existence of solutions for a higher order non-local equation appearing in crack dynamics. Zbl 1230.35053Imbert, C.; Mellet, A. 8 2011 On fluid limit for the semiconductors Boltzmann equation. Zbl 1013.82024Goudon, Thierry; Mellet, Antoine 7 2003 Liquid drops sliding down an inclined plane. Zbl 1317.35299Kim, Inwon; Mellet, Antoine 7 2014 Existence and regularity of extremal solutions for a mean-curvature equation. Zbl 1194.53010Mellet, Antoine; Vovelle, Julien 6 2010 Homogenization of one-phase Stefan-type problems in periodic and random media. Zbl 1197.35290Kim, Inwon C.; Mellet, Antoine 6 2010 Diffusion limit of a nonlinear kinetic model without the detailed balance principle. Zbl 0992.82031Mellet, A. 6 2002 Diffusion approximation in heterogeneous media. Zbl 1009.35010Goudon, Thierry; Mellet, Antoine 5 2001 Electron transport in semiconductor superlattices. Zbl 1099.82017Ben Abdallah, N.; Degond, P.; Mellet, A.; Poupaud, F. 4 2003 Discrete version of the SHE asymptotics: multigroup neutron transport equations. Zbl 1060.82042Goudon, Thierry; Mellet, Antoine 3 2002 \(L^p\) estimates for quantities advected by a compressible flow. Zbl 1172.35056Mellet, Antoine; Vasseur, Alexis 3 2009 Flame propagation in one-dimensional stationary ergodic media. Zbl 1110.76054Caffarelli, L. A.; Lee, K.-A.; Mellet, A. 3 2007 \(L^1\) contraction property for a Boltzmann equation with Pauli statistics. Zbl 1003.35119Mellet, Antoine; Perthame, Benoît 3 2002 Capillary drops on a rough surface. Zbl 1300.76014Mellet, Antoine; Nolen, James 3 2012 Diffusion dynamics of an electron gas confined between two plates. Zbl 1135.82328Degond, P.; Latocha, V.; Mancini, S.; Mellet, A. 3 2002 A bound from below for the temperature in compressible Navier-Stokes equations. Zbl 1173.35100Mellet, Antoine; Vasseur, Alexis 3 2009 Self-similar solutions for a fractional thin film equation governing hydraulic fractures. Zbl 1330.35330Imbert, C.; Mellet, A. 2 2015 Uniqueness and semigroup for the Vlasov equation with elastic-diffusive reflexion boundary conditions. Zbl 1067.82053Mellet, A.; Mischler, S. 2 2004 Electrified thin films: global existence of non-negative solutions. Zbl 1308.35123Imbert, C.; Mellet, A. 2 2012 A Cahn-Hilliard model for cell motility. Zbl 1452.35216Cucchi, Alessandro; Mellet, Antoine; Meunier, Nicolas 2 2020 Some mathematical aspects of capillary surfaces. Zbl 1301.35220Mellet, Antoine 2 2012 Anomalous diffusion phenomena: a kinetic approach. Zbl 1349.35403Mellet, Antoine 1 2016 Numerical comparison between two spherical harmonics expansion models and a kinetic equation. Zbl 1159.82318Bourgade, J. P.; Mellet, A.; Mieussens, L. 1 2004 Fractional diffusion limit of a kinetic equation with diffusive boundary conditions in the upper-half space. Zbl 1481.76185Cesbron, L.; Mellet, A.; Puel, M. 1 2020 An isoperimetric problem with a competing nonlocal singular term. Zbl 1468.49049Mellet, Antoine; Wu, Yijing 1 2021 Anomalous diffusion limit for a linear Boltzmann equation with external force field. Zbl 1362.76053Aceves-Sanchez, Pedro; Mellet, Antoine 1 2017 Homogenization of time-harmonic Maxwell’s equations in nonhomogeneous plasmonic structures. Zbl 1437.35048Maier, Matthias; Margetis, Dionisios; Mellet, Antoine 1 2020 An isoperimetric problem with a competing nonlocal singular term. Zbl 1468.49049Mellet, Antoine; Wu, Yijing 1 2021 A Cahn-Hilliard model for cell motility. Zbl 1452.35216Cucchi, Alessandro; Mellet, Antoine; Meunier, Nicolas 2 2020 Fractional diffusion limit of a kinetic equation with diffusive boundary conditions in the upper-half space. Zbl 1481.76185Cesbron, L.; Mellet, A.; Puel, M. 1 2020 Homogenization of time-harmonic Maxwell’s equations in nonhomogeneous plasmonic structures. Zbl 1437.35048Maier, Matthias; Margetis, Dionisios; Mellet, Antoine 1 2020 A Hele-Shaw problem for tumor growth. Zbl 1377.35245Mellet, Antoine; Perthame, Benoît; Quirós, Fernando 22 2017 Anomalous diffusion limit for a linear Boltzmann equation with external force field. Zbl 1362.76053Aceves-Sanchez, Pedro; Mellet, Antoine 1 2017 Regularity of local minimizers of the interaction energy via obstacle problems. Zbl 1337.49066Carrillo, J. A.; Delgadino, M. G.; Mellet, A. 39 2016 Anomalous diffusion phenomena: a kinetic approach. Zbl 1349.35403Mellet, Antoine 1 2016 Hydrodynamic limit of the kinetic Cucker-Smale flocking model. Zbl 1309.35180Karper, Trygve K.; Mellet, Antoine; Trivisa, Konstantina 46 2015 Anomalous energy transport in FPU-\(\beta\) chain. Zbl 1360.82082Mellet, Antoine; Merino-Aceituno, Sara 10 2015 The thin film equation with non-zero contact angle: A singular perturbation approach. Zbl 1323.35063Mellet, A. 8 2015 Self-similar solutions for a fractional thin film equation governing hydraulic fractures. Zbl 1330.35330Imbert, C.; Mellet, A. 2 2015 On strong local alignment in the kinetic Cucker-Smale model. Zbl 1276.35142Karper, Trygve K.; Mellet, Antoine; Trivisa, Konstantina 15 2014 Existence and asymptotics of fronts in non local combustion models. Zbl 1293.35042Mellet, Antoine; Roquejoffre, Jean-Michel; Sire, Yannick 12 2014 Liquid drops sliding down an inclined plane. Zbl 1317.35299Kim, Inwon; Mellet, Antoine 7 2014 Existence of weak solutions to kinetic flocking models. Zbl 1295.35371Karper, Trygve K.; Mellet, Antoine; Trivisa, Konstantina 38 2013 Anomalous transport of particles in plasma physics. Zbl 1248.76159Cesbron, L.; Mellet, A.; Trivisa, K. 17 2012 Traveling waves for a boundary reaction-diffusion equation. Zbl 1255.35072Caffarelli, L.; Mellet, A.; Sire, Y. 8 2012 Capillary drops on a rough surface. Zbl 1300.76014Mellet, Antoine; Nolen, James 3 2012 Electrified thin films: global existence of non-negative solutions. Zbl 1308.35123Imbert, C.; Mellet, A. 2 2012 Some mathematical aspects of capillary surfaces. Zbl 1301.35220Mellet, Antoine 2 2012 Fractional diffusion limit for collisional kinetic equations. Zbl 1294.82033Mellet, Antoine; Mischler, Stéphane; Mouhot, Clément 76 2011 Anomalous diffusion limit for kinetic equations with degenerate collision frequency. Zbl 1331.76106Ben Abdallah, Naoufel; Mellet, Antoine; Puel, Marjolaine 21 2011 Fractional diffusion limit for collisional kinetic equations: a Hilbert expansion approach. Zbl 1242.76304Ben Abdallah, Naoufel; Mellet, Antoine; Puel, Marjolaine 18 2011 Existence of solutions for a higher order non-local equation appearing in crack dynamics. Zbl 1230.35053Imbert, C.; Mellet, A. 8 2011 Generalized fronts for one-dimensional reaction-diffusion equations. Zbl 1180.35294Mellet, Antoine; Roquejoffre, Jean-Michel; Sire, Yannick 30 2010 Fractional diffusion limit for collisional kinetic equations: a moments method. Zbl 1294.82032Mellet, Antoine 30 2010 Existence and regularity of extremal solutions for a mean-curvature equation. Zbl 1194.53010Mellet, Antoine; Vovelle, Julien 6 2010 Homogenization of one-phase Stefan-type problems in periodic and random media. Zbl 1197.35290Kim, Inwon C.; Mellet, Antoine 6 2010 Stability of generalized transition fronts. Zbl 1173.35021Mellet, Antoine; Nolen, James; Roquejoffre, Jean-Michel; Ryzhik, Lenya 32 2009 Random homogenization of an obstacle problem. Zbl 1180.35069Caffarelli, L. A.; Mellet, A. 16 2009 Homogenization of a Hele-Shaw problem in periodic and random media. Zbl 1251.76015Kim, Inwon C.; Mellet, Antoine 10 2009 \(L^p\) estimates for quantities advected by a compressible flow. Zbl 1172.35056Mellet, Antoine; Vasseur, Alexis 3 2009 A bound from below for the temperature in compressible Navier-Stokes equations. Zbl 1173.35100Mellet, Antoine; Vasseur, Alexis 3 2009 Existence and uniqueness of global strong solutions for one-dimensional compressible Navier-Stokes equations. Zbl 1141.76054Mellet, A.; Vasseur, A. 86 2008 Asymptotic analysis for a Vlasov-Fokker-Planck compressible Navier-Stokes system of equations. Zbl 1155.35415Mellet, A.; Vasseur, A. 80 2008 Random homogenization of fractional obstacle problems. Zbl 1156.74359Caffarelli, Luis; Mellet, Antoine 11 2008 On the barotropic compressible Navier-Stokes equations. Zbl 1149.35070Mellet, A.; Vasseur, A. 123 2007 Global weak solutions for a Vlasov-Fokker-Planck/Navier-Stokes system of equations. Zbl 1136.76042Mellet, A.; Vasseur, A. 72 2007 Capillary drops: contact angle hysteresis and sticking drops. Zbl 1168.76007Caffarelli, L. A.; Mellet, A. 17 2007 Capillary drops on an inhomogeneous surface. Zbl 1200.76053Caffarelli, L. A.; Mellet, A. 10 2007 Flame propagation in one-dimensional stationary ergodic media. Zbl 1110.76054Caffarelli, L. A.; Lee, K.-A.; Mellet, A. 3 2007 Homogenization and flame propagation in periodic excitable media: the asymptotic speed of propagation. Zbl 1093.35010Caffarelli, L. A.; Lee, K.-A.; Mellet, A. 19 2006 Singular limit and homogenization for flame propagation in periodic excitable media. Zbl 1058.76070Caffarelli, Luis A.; Lee, Ki-Ahm; Mellet, Antoine 14 2004 Uniqueness and semigroup for the Vlasov equation with elastic-diffusive reflexion boundary conditions. Zbl 1067.82053Mellet, A.; Mischler, S. 2 2004 Numerical comparison between two spherical harmonics expansion models and a kinetic equation. Zbl 1159.82318Bourgade, J. P.; Mellet, A.; Mieussens, L. 1 2004 Homogenization and diffusion asymptotics of the linear Boltzmann equation. Zbl 1070.35032Goudon, Thierry; Mellet, Antoine 11 2003 On fluid limit for the semiconductors Boltzmann equation. Zbl 1013.82024Goudon, Thierry; Mellet, Antoine 7 2003 Electron transport in semiconductor superlattices. Zbl 1099.82017Ben Abdallah, N.; Degond, P.; Mellet, A.; Poupaud, F. 4 2003 Diffusion limit of a nonlinear kinetic model without the detailed balance principle. Zbl 0992.82031Mellet, A. 6 2002 Discrete version of the SHE asymptotics: multigroup neutron transport equations. Zbl 1060.82042Goudon, Thierry; Mellet, Antoine 3 2002 \(L^1\) contraction property for a Boltzmann equation with Pauli statistics. Zbl 1003.35119Mellet, Antoine; Perthame, Benoît 3 2002 Diffusion dynamics of an electron gas confined between two plates. Zbl 1135.82328Degond, P.; Latocha, V.; Mancini, S.; Mellet, A. 3 2002 Diffusion approximation in heterogeneous media. Zbl 1009.35010Goudon, Thierry; Mellet, Antoine 5 2001 all cited Publications top 5 cited Publications all top 5 Cited by 750 Authors 28 Mellet, Antoine 26 Carrillo de la Plata, José Antonio 25 Choi, Young-Pil 25 Vasseur, Alexis F. 16 Ha, Seung-Yeal 15 Kim, Inwon Christina 15 Lian, Ruxu 14 Kang, Moon-Jin 11 Perthame, Benoît 11 Zatorska, Ewelina 10 Guo, Zhenhua 10 Jiu, Quansen 10 Trivisa, Konstantina 10 Xin, Zhouping 10 Yun, Seok-Bae 10 Zhu, Changjiang 9 Bresch, Didier 9 Hamel, François 9 Haspot, Boris 9 Li, Hailiang 9 Yu, Cheng 8 Kim, Jeongho 8 Yao, Lei 8 Zhu, Shengguo 8 Zlatoš, Andrej 7 Goudon, Thierry 7 Tayeb, Mohamed Lazhar 7 Vazquez, Juan Luis 7 Wen, Huanyao 6 Jung, Jinwook 6 Komorowski, Tomasz 6 Kwon, Young-Sam 6 Liu, Jian 6 Schmidtchen, Markus 6 Wang, Yi 5 Caffarelli, Luis Ángel 5 Desjardins, Benoît 5 Dou, Changsheng 5 Guo, Hongjun 5 Huang, Bingkang 5 Jüngel, Ansgar 5 Masmoudi, Nader 5 Nečasová, Šárka 5 Novotný, Antonín 5 Pokorný, Milan 5 Shen, Wenxian 5 Shen, Zhongwei 5 Tang, Tong 5 Topaloglu, Ihsan 5 Wang, Dehua 5 Zhang, Xiongtao 5 Zhen, Maoding 4 Aceves-Sánchez, Pedro 4 Antonelli, Paolo 4 Bouin, Emeric 4 Cesbron, Ludovic 4 Craig, Katy 4 Degond, Pierre 4 Ding, Xiaoli 4 Dong, Jianwei 4 Duan, Qin 4 Ducomet, Bernard 4 Feireisl, Eduard 4 Hivert, Hélène 4 Imbert, Cyril 4 Jara, Milton D. 4 Jiang, Peng 4 Jin, Shi 4 Li, Fucai 4 Li, Yachun 4 Li, Zilai 4 Liu, Jianguo 4 Mischler, Stéphane 4 Moussa, Ayman 4 Mucha, Piotr Bogusław 4 Nadin, Grégoire 4 Patacchini, Francesco Saverio 4 Požár, Norbert 4 Ros-Oton, Xavier 4 Ryzhik, Lenya 4 Schmeiser, Christian 4 Sheng, WeiJie 4 Spirito, Stefano 4 Tan, Changhui 4 Xiao, Qinghua 4 Zhu, Limei 3 Bae, Hyeong-Ohk 3 Ballew, Joshua 3 Bourgade, Jean-Pierre 3 Chen, Yang 3 Coville, Jerome 3 Creo, Simone 3 Crouseilles, Nicolas 3 Düring, Bertram 3 Feldman, William M. 3 Focardi, Matteo 3 Fournier, Nicolas G. 3 Martínez Gamba, Irene 3 Gao, Hongjun 3 Gnann, Manuel V. ...and 650 more Authors all top 5 Cited in 129 Serials 65 Journal of Differential Equations 43 Archive for Rational Mechanics and Analysis 32 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 30 SIAM Journal on Mathematical Analysis 26 Journal de Mathématiques Pures et Appliquées. Neuvième Série 25 Journal of Mathematical Physics 19 Calculus of Variations and Partial Differential Equations 18 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 17 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 17 Journal of Mathematical Fluid Mechanics 16 Kinetic and Related Models 15 Communications in Mathematical Physics 13 ZAMP. Zeitschrift für angewandte Mathematik und Physik 13 Discrete and Continuous Dynamical Systems 13 Nonlinear Analysis. Real World Applications 11 Journal of Mathematical Analysis and Applications 10 Journal of Statistical Physics 10 Communications in Partial Differential Equations 10 Communications on Pure and Applied Analysis 8 Applicable Analysis 8 Advances in Mathematics 8 Transactions of the American Mathematical Society 8 Comptes Rendus. Mathématique. Académie des Sciences, Paris 8 Journal of Hyperbolic Differential Equations 6 Journal of Computational Physics 6 Mathematical Methods in the Applied Sciences 6 Nonlinearity 6 Boundary Value Problems 5 Acta Applicandae Mathematicae 5 Acta Mathematicae Applicatae Sinica. English Series 5 Applied Mathematics Letters 5 SIAM Journal on Applied Mathematics 4 Communications on Pure and Applied Mathematics 4 Journal of Functional Analysis 4 Physica D 4 Journal of Dynamics and Differential Equations 4 Journal of Nonlinear Science 4 SIAM Journal on Scientific Computing 4 Fractional Calculus & Applied Analysis 4 Journal of Evolution Equations 4 Discrete and Continuous Dynamical Systems. Series B 4 Multiscale Modeling & Simulation 4 Discrete and Continuous Dynamical Systems. Series S 4 Science China. Mathematics 3 Journal of Mathematical Biology 3 Asymptotic Analysis 3 European Journal of Applied Mathematics 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 Abstract and Applied Analysis 3 Journal of the European Mathematical Society (JEMS) 3 Journal of Applied Mathematics 3 Networks and Heterogeneous Media 3 Advances in Nonlinear Analysis 3 Journal de l’École Polytechnique – Mathématiques 2 Mathematics of Computation 2 The Annals of Probability 2 Indiana University Mathematics Journal 2 Inventiones Mathematicae 2 Mathematische Nachrichten 2 Monatshefte für Mathematik 2 Revista Matemática Iberoamericana 2 Journal of Scientific Computing 2 The Annals of Applied Probability 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 NoDEA. Nonlinear Differential Equations and Applications 2 Interfaces and Free Boundaries 2 Acta Mathematica Sinica. English Series 2 Annales Henri Poincaré 2 Bulletin of the Brazilian Mathematical Society. New Series 2 Analysis and Applications (Singapore) 2 Journal of Theoretical Biology 2 Séminaire Laurent Schwartz. EDP et Applications 2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 Computer Methods in Applied Mechanics and Engineering 1 Journal of the Franklin Institute 1 Studia Mathematica 1 Ukrainian Mathematical Journal 1 Bulletin of Mathematical Biology 1 Chaos, Solitons and Fractals 1 Applied Mathematics and Optimization 1 Archiv der Mathematik 1 Illinois Journal of Mathematics 1 Journal of Computational and Applied Mathematics 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Numerische Mathematik 1 Quarterly of Applied Mathematics 1 SIAM Journal on Numerical Analysis 1 Bulletin of the Korean Mathematical Society 1 Stochastic Analysis and Applications 1 Computational Mechanics 1 Journal of Theoretical Probability 1 Mathematical and Computer Modelling 1 Publicacions Matemàtiques 1 The Journal of Geometric Analysis 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Stochastic Processes and their Applications 1 Continuum Mechanics and Thermodynamics 1 Potential Analysis 1 Physics of Fluids ...and 29 more Serials all top 5 Cited in 37 Fields 586 Partial differential equations (35-XX) 327 Fluid mechanics (76-XX) 96 Statistical mechanics, structure of matter (82-XX) 82 Biology and other natural sciences (92-XX) 44 Calculus of variations and optimal control; optimization (49-XX) 30 Numerical analysis (65-XX) 27 Probability theory and stochastic processes (60-XX) 23 Integral equations (45-XX) 23 Operator theory (47-XX) 21 Mechanics of deformable solids (74-XX) 19 Classical thermodynamics, heat transfer (80-XX) 14 Real functions (26-XX) 14 Ordinary differential equations (34-XX) 10 Dynamical systems and ergodic theory (37-XX) 9 Mechanics of particles and systems (70-XX) 7 Measure and integration (28-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 6 Astronomy and astrophysics (85-XX) 5 Special functions (33-XX) 5 Approximations and expansions (41-XX) 5 Quantum theory (81-XX) 5 Geophysics (86-XX) 4 Potential theory (31-XX) 4 Functional analysis (46-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Systems theory; control (93-XX) 3 Differential geometry (53-XX) 3 Optics, electromagnetic theory (78-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Information and communication theory, circuits (94-XX) 2 Several complex variables and analytic spaces (32-XX) 2 General topology (54-XX) 2 Operations research, mathematical programming (90-XX) 1 Number theory (11-XX) 1 Convex and discrete geometry (52-XX) 1 Statistics (62-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year