Edit Profile (opens in new tab) Nier, Francis Co-Author Distance Author ID: nier.francis Published as: Nier, Francis; Nier, F. Documents Indexed: 67 Publications since 1990, including 2 Books and 5 Additional arXiv Preprints Co-Authors: 34 Co-Authors with 42 Joint Publications 969 Co-Co-Authors all top 5 Co-Authors 24 single-authored 6 Ammari, Zied 5 Nataf, Frédéric 4 Helffer, Bernard 4 Mantile, Andrea 3 Bonnaillie-Noël, Virginie 3 Chniti, Chokri 3 Faraj, Ali 3 Gérard, Christian 3 Patel, Yassine 2 Aftalion, Amandine 2 Arnold, Anton 2 Breteaux, Sébastien 2 Degond, Pierre 2 Le Peutrec, Dorian 2 Lelièvre, Tony 2 Mustieles, Francisco-José 2 Viterbo, Claude 1 Blanc, Xavier 1 Delaurens, Frédérique 1 Gallagher, Isabelle 1 Gallay, Thierry 1 Guyot-Delaurens, F. 1 Hérau, Frédéric 1 Hmidi, Taoufik 1 Klein, Markus 1 Liard, Quentin 1 Pavliotis, Grigorios A. 1 Rouffort, C. 1 Said, Mona Ben 1 Sang, Xingfeng 1 Shen, Shu 1 Soffer, Avraham 1 Viola, Joe 1 White, Francis all top 5 Serials 6 Séminaire Équations aux Dérivées Partielles 3 Journal of Functional Analysis 2 Asymptotic Analysis 2 IMRN. International Mathematics Research Notices 2 Communications in Partial Differential Equations 2 Annales Henri Poincaré 1 Archive for Rational Mechanics and Analysis 1 Journal of Computational Physics 1 Journal of Mathematical Physics 1 Journal of Statistical Physics 1 Mathematical Methods in the Applied Sciences 1 Nonlinearity 1 Transport Theory and Statistical Physics 1 Mathematics of Computation 1 Reviews in Mathematical Physics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Calcolo 1 Journal of Mathematics of Kyoto University 1 Journal of the Mathematical Society of Japan 1 Memoirs of the American Mathematical Society 1 Numerische Mathematik 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 COMPEL 1 Journal of Scientific Computing 1 Forum Mathematicum 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Mémoires de la Société Mathématique de France. Nouvelle Série 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Serdica Mathematical Journal 1 Matemática Contemporânea 1 Mathematical Physics, Analysis and Geometry 1 RIMS Kokyuroku 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Lecture Notes in Mathematics 1 Journal of Physics A: Mathematical and Theoretical 1 Analysis & PDE 1 Tunisian Journal of Mathematics all top 5 Fields 41 Partial differential equations (35-XX) 28 Quantum theory (81-XX) 15 Statistical mechanics, structure of matter (82-XX) 14 Operator theory (47-XX) 12 Numerical analysis (65-XX) 9 Global analysis, analysis on manifolds (58-XX) 6 Ordinary differential equations (34-XX) 5 Probability theory and stochastic processes (60-XX) 4 Dynamical systems and ergodic theory (37-XX) 2 Potential theory (31-XX) 2 Special functions (33-XX) 2 Integral equations (45-XX) 2 Functional analysis (46-XX) 2 Fluid mechanics (76-XX) 2 Optics, electromagnetic theory (78-XX) 1 History and biography (01-XX) 1 Measure and integration (28-XX) 1 Mechanics of particles and systems (70-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 51 Publications have been cited 987 times in 661 Documents Cited by ▼ Year ▼ Hypoelliptic estimates and spectral theory for Fokker-Planck operators and Witten Laplacians. Zbl 1072.35006 Helffer, Bernard; Nier, Francis 136 2005 Isotropic hypoelliptic and trend to equilibrium for the Fokker-Planck equation with a high-degree potential. Zbl 1139.82323 Hérau, Frédéric; Nier, Francis 134 2004 Mean field limit for bosons and infinite dimensional phase-space analysis. Zbl 1171.81014 Ammari, Zied; Nier, Francis 61 2008 Optimal non-reversible linear drift for the convergence to equilibrium of a diffusion. Zbl 1276.82042 Lelièvre, T.; Nier, F.; Pavliotis, G. A. 49 2013 The Mourre theory for analytically fibered operators. Zbl 0939.47019 Gérard, Christian; Nier, Francis 48 1998 Lowest Landau level functional and Bargmann spaces for Bose-Einstein condensates. Zbl 1118.82004 Aftalion, A.; Blanc, X.; Nier, F. 47 2006 Quantitative analysis of metastability in reversible diffusion processes via a Witten complex approach. Zbl 1079.58025 Helffer, Bernard; Klein, Markus; Nier, Francis 45 2004 Mean field propagation of Wigner measures and BBGKY hierarchies for general bosonic states. Zbl 1251.81062 Ammari, Z.; Nier, F. 39 2011 Convergence rate of some domain decomposition methods for overlapping and nonoverlapping subdomains. Zbl 0873.65108 Nataf, Frédéric; Nier, F. 32 1997 Mean field limit for bosons and propagation of Wigner measures. Zbl 1214.81089 Ammari, Z.; Nier, F. 29 2009 Quantitative analysis of metastability in reversible diffusion processes via a Witten complex approach: the case with boundary. Zbl 1108.58018 Nier, F.; Helffer, B. 29 2006 A variational formulation of Schrödinger–Poisson systems in dimension \(d\leq3\). Zbl 0785.35086 Nier, Francis 29 1993 A stationary Schrödinger-Poisson system arising from the modelling of electronic devices. Zbl 0716.34098 Nier, Francis 27 1990 Spectral asymptotics for large skew-symmetric perturbations of the harmonic oscillator. Zbl 1180.35383 Gallagher, Isabelle; Gallay, Thierry; Nier, Francis 27 2009 The dynamics of some quantum open systems with short-range nonlinearities. Zbl 0909.34052 Nier, Francis 26 1998 Scattering theory for the perturbations of periodic Schrödinger operators. Zbl 0934.35111 Gérard, Christian; Nier, Francis 22 1998 Mean field propagation of infinite-dimensional Wigner measures with a singular two-body interaction potential. Zbl 1341.81037 Ammari, Zied; Nier, Francis 20 2015 A semi-classical picture of quantum scattering. Zbl 0858.35106 Nier, Francis 19 1996 Precise Arrhenius law for \(p\)-forms: the Witten Laplacian and Morse-Barannikov complex. Zbl 1275.58018 Le Peutrec, Dorian; Nier, Francis; Viterbo, Claude 17 2013 The two-dimensional Wigner-Poisson problem for an electron gas in the charge neutral case. Zbl 0742.35078 Arnold, Anton; Nier, Francis 13 1991 Schrödinger-Poisson systems in dimension \(d\leqq 3\): The whole-space case. Zbl 0807.35119 Nier, F. 12 1993 Boundary conditions and subelliptic estimates for geometric Kramers-Fokker-Planck operators on manifolds with boundaries. Zbl 1419.35001 Nier, Francis 10 2018 Bose-Einstein condensates in the lowest Landau level: Hamiltonian dynamics. Zbl 1129.82023 Nier, F. 8 2007 Low temperature asymptotics for quasistationary distributions in a bounded domain. Zbl 1320.58021 Lelièvre, Tony; Nier, Francis 8 2015 Hypoellipticity for Fokker-Planck operators and Witten Laplacians. Zbl 1286.35283 Nier, Francis 7 2012 Far from equilibrium steady states of 1D-Schrödinger-Poisson systems with quantum wells II. Zbl 1157.82046 Bonnaillie-Noël, Virginie; Nier, Francis; Patel, Yassine 6 2009 Asymptotic analysis of a scaled Wigner equation and quantum scattering. Zbl 0870.45003 Nier, Francis 6 1995 Dispersion and Strichartz estimates for some finite rank perturbations of the Laplace operator. Zbl 1034.35017 Nier, F.; Soffer, A. 6 2003 Quantum mean-field asymptotics and multiscale analysis. Zbl 1407.81117 Ammari, Zied; Breteaux, Sébastien; Nier, Francis 6 2019 Improved interface conditions for \(2 D\) domain decomposition with corners: numerical applications. Zbl 1203.65274 Chniti, Chokri; Nataf, Frédéric; Nier, Francis 5 2009 Adiabatic evolution of 1D shape resonances: an artificial interface conditions approach. Zbl 1223.35125 Faraj, Ali; Mantile, Andrea; Nier, Francis 5 2011 Computing the steady states for an asymptotic model of quantum transport in resonant heterostructures. Zbl 1189.82129 Bonnaillie-Noël, Virginie; Nier, Francis; Patel, Yassine 5 2006 About theta functions and the Abrikosov lattice. (A propos des fonctions thêta et des réseaux d’Abrikosov.) Zbl 1171.33012 Nier, Francis 5 2007 Remarks on domain decomposition algorithms. (Remarques sur les algorithmes de décomposition de domaines.) Zbl 1058.65514 Nier, F. 5 1999 Far from equilibrium steady states of 1D-Schrödinger-Poisson systems with quantum wells. I. Zbl 1149.82349 Bonnaillie-Noël, V.; Nier, F.; Patel, Y. 5 2008 Criteria to the Poincaré inequality associated with Dirichlet forms in \(\mathbb{R}^d,\,d\geq 2\). Zbl 1098.31005 Helffer, Bernard; Nier, Francis 5 2003 Time-dependent delta-interactions for 1D Schrödinger Hamiltonians. Zbl 1190.37013 Hmidi, Toufik; Mantile, Andrea; Nier, Francis 4 2010 Improved interface conditions for a non-overlapping domain decomposition of a nonconvex polygonal domain. Zbl 1096.65124 Chniti, Chokri; Nataf, Frédéric; Nier, Francis 4 2006 Convergence of domain decomposition methods via semi-classical calculus. Zbl 0909.35007 Nataf, Frédéric; Nier, Francis 3 1998 Improved interface conditions for 2D domain decomposition with corners: A theoretical determination. Zbl 1173.65364 Chniti, Chokri; Nataf, Frédéric; Nier, Francis 3 2008 Particle simulation of bidimensional electron transport parallel to a heterojunction interface. Zbl 0724.65133 Degond, P.; Delaurens, F.; Mustieles, F. J.; Nier, F. 3 1990 Quaternionic structure and analysis of some Kramers-Fokker-Planck operators. Zbl 1452.35213 Said, Mona Ben; Nier, Francis; Viola, Joe 3 2020 An explicit model for the adiabatic evolution of quantum observables driven by 1D shape resonances. Zbl 1204.81071 Faraj, A.; Mantile, A.; Nier, F. 3 2010 Quantitative analysis of metastability in reversible diffusion processes via a Witten complex approach. Zbl 1067.35057 Nier, Francis 2 2004 Semiconductor modelling via the Boltzmann equation. Zbl 0732.35098 Degond, P.; Guyot-Delaurens, F.; Mustieles, F. J.; Nier, F. 2 1991 Nonlinear asymptotics for quantum out-of-equilibrium 1D systems: reduced models and algorithms. Zbl 1322.82003 Nier, F.; Patel, M. 2 2004 Double scale analysis of a Schröder-Poisson system with quantum wells and macroscopic nonlinearities in dimension 2 and 3. Zbl 1163.35465 Faraj, A.; Mantile, A.; Nier, F. 1 2009 Accurate WKB approximation for a 1D problem with low regularity. Zbl 1199.81023 Nier, F. 1 2008 Numerical analysis of the deterministic particle method applied to the Wigner equation. Zbl 0763.65092 Arnold, Anton; Nier, Francis 1 1992 On the relationship between non-linear Schrödinger dynamics, Gross-Pitaevskli hierarchy and Liouville’s equation. Zbl 1369.37072 Ammari, Zied; Nier, F.; Liard, Q.; Rouffort, C. 1 2017 Accurate estimates for the exponential decay of semigroups with non-self-adjoint generators. Zbl 07270990 Nier, Francis 1 2014 Quaternionic structure and analysis of some Kramers-Fokker-Planck operators. Zbl 1452.35213 Said, Mona Ben; Nier, Francis; Viola, Joe 3 2020 Quantum mean-field asymptotics and multiscale analysis. Zbl 1407.81117 Ammari, Zied; Breteaux, Sébastien; Nier, Francis 6 2019 Boundary conditions and subelliptic estimates for geometric Kramers-Fokker-Planck operators on manifolds with boundaries. Zbl 1419.35001 Nier, Francis 10 2018 On the relationship between non-linear Schrödinger dynamics, Gross-Pitaevskli hierarchy and Liouville’s equation. Zbl 1369.37072 Ammari, Zied; Nier, F.; Liard, Q.; Rouffort, C. 1 2017 Mean field propagation of infinite-dimensional Wigner measures with a singular two-body interaction potential. Zbl 1341.81037 Ammari, Zied; Nier, Francis 20 2015 Low temperature asymptotics for quasistationary distributions in a bounded domain. Zbl 1320.58021 Lelièvre, Tony; Nier, Francis 8 2015 Accurate estimates for the exponential decay of semigroups with non-self-adjoint generators. Zbl 07270990 Nier, Francis 1 2014 Optimal non-reversible linear drift for the convergence to equilibrium of a diffusion. Zbl 1276.82042 Lelièvre, T.; Nier, F.; Pavliotis, G. A. 49 2013 Precise Arrhenius law for \(p\)-forms: the Witten Laplacian and Morse-Barannikov complex. Zbl 1275.58018 Le Peutrec, Dorian; Nier, Francis; Viterbo, Claude 17 2013 Hypoellipticity for Fokker-Planck operators and Witten Laplacians. Zbl 1286.35283 Nier, Francis 7 2012 Mean field propagation of Wigner measures and BBGKY hierarchies for general bosonic states. Zbl 1251.81062 Ammari, Z.; Nier, F. 39 2011 Adiabatic evolution of 1D shape resonances: an artificial interface conditions approach. Zbl 1223.35125 Faraj, Ali; Mantile, Andrea; Nier, Francis 5 2011 Time-dependent delta-interactions for 1D Schrödinger Hamiltonians. Zbl 1190.37013 Hmidi, Toufik; Mantile, Andrea; Nier, Francis 4 2010 An explicit model for the adiabatic evolution of quantum observables driven by 1D shape resonances. Zbl 1204.81071 Faraj, A.; Mantile, A.; Nier, F. 3 2010 Mean field limit for bosons and propagation of Wigner measures. Zbl 1214.81089 Ammari, Z.; Nier, F. 29 2009 Spectral asymptotics for large skew-symmetric perturbations of the harmonic oscillator. Zbl 1180.35383 Gallagher, Isabelle; Gallay, Thierry; Nier, Francis 27 2009 Far from equilibrium steady states of 1D-Schrödinger-Poisson systems with quantum wells II. Zbl 1157.82046 Bonnaillie-Noël, Virginie; Nier, Francis; Patel, Yassine 6 2009 Improved interface conditions for \(2 D\) domain decomposition with corners: numerical applications. Zbl 1203.65274 Chniti, Chokri; Nataf, Frédéric; Nier, Francis 5 2009 Double scale analysis of a Schröder-Poisson system with quantum wells and macroscopic nonlinearities in dimension 2 and 3. Zbl 1163.35465 Faraj, A.; Mantile, A.; Nier, F. 1 2009 Mean field limit for bosons and infinite dimensional phase-space analysis. Zbl 1171.81014 Ammari, Zied; Nier, Francis 61 2008 Far from equilibrium steady states of 1D-Schrödinger-Poisson systems with quantum wells. I. Zbl 1149.82349 Bonnaillie-Noël, V.; Nier, F.; Patel, Y. 5 2008 Improved interface conditions for 2D domain decomposition with corners: A theoretical determination. Zbl 1173.65364 Chniti, Chokri; Nataf, Frédéric; Nier, Francis 3 2008 Accurate WKB approximation for a 1D problem with low regularity. Zbl 1199.81023 Nier, F. 1 2008 Bose-Einstein condensates in the lowest Landau level: Hamiltonian dynamics. Zbl 1129.82023 Nier, F. 8 2007 About theta functions and the Abrikosov lattice. (A propos des fonctions thêta et des réseaux d’Abrikosov.) Zbl 1171.33012 Nier, Francis 5 2007 Lowest Landau level functional and Bargmann spaces for Bose-Einstein condensates. Zbl 1118.82004 Aftalion, A.; Blanc, X.; Nier, F. 47 2006 Quantitative analysis of metastability in reversible diffusion processes via a Witten complex approach: the case with boundary. Zbl 1108.58018 Nier, F.; Helffer, B. 29 2006 Computing the steady states for an asymptotic model of quantum transport in resonant heterostructures. Zbl 1189.82129 Bonnaillie-Noël, Virginie; Nier, Francis; Patel, Yassine 5 2006 Improved interface conditions for a non-overlapping domain decomposition of a nonconvex polygonal domain. Zbl 1096.65124 Chniti, Chokri; Nataf, Frédéric; Nier, Francis 4 2006 Hypoelliptic estimates and spectral theory for Fokker-Planck operators and Witten Laplacians. Zbl 1072.35006 Helffer, Bernard; Nier, Francis 136 2005 Isotropic hypoelliptic and trend to equilibrium for the Fokker-Planck equation with a high-degree potential. Zbl 1139.82323 Hérau, Frédéric; Nier, Francis 134 2004 Quantitative analysis of metastability in reversible diffusion processes via a Witten complex approach. Zbl 1079.58025 Helffer, Bernard; Klein, Markus; Nier, Francis 45 2004 Quantitative analysis of metastability in reversible diffusion processes via a Witten complex approach. Zbl 1067.35057 Nier, Francis 2 2004 Nonlinear asymptotics for quantum out-of-equilibrium 1D systems: reduced models and algorithms. Zbl 1322.82003 Nier, F.; Patel, M. 2 2004 Dispersion and Strichartz estimates for some finite rank perturbations of the Laplace operator. Zbl 1034.35017 Nier, F.; Soffer, A. 6 2003 Criteria to the Poincaré inequality associated with Dirichlet forms in \(\mathbb{R}^d,\,d\geq 2\). Zbl 1098.31005 Helffer, Bernard; Nier, Francis 5 2003 Remarks on domain decomposition algorithms. (Remarques sur les algorithmes de décomposition de domaines.) Zbl 1058.65514 Nier, F. 5 1999 The Mourre theory for analytically fibered operators. Zbl 0939.47019 Gérard, Christian; Nier, Francis 48 1998 The dynamics of some quantum open systems with short-range nonlinearities. Zbl 0909.34052 Nier, Francis 26 1998 Scattering theory for the perturbations of periodic Schrödinger operators. Zbl 0934.35111 Gérard, Christian; Nier, Francis 22 1998 Convergence of domain decomposition methods via semi-classical calculus. Zbl 0909.35007 Nataf, Frédéric; Nier, Francis 3 1998 Convergence rate of some domain decomposition methods for overlapping and nonoverlapping subdomains. Zbl 0873.65108 Nataf, Frédéric; Nier, F. 32 1997 A semi-classical picture of quantum scattering. Zbl 0858.35106 Nier, Francis 19 1996 Asymptotic analysis of a scaled Wigner equation and quantum scattering. Zbl 0870.45003 Nier, Francis 6 1995 A variational formulation of Schrödinger–Poisson systems in dimension \(d\leq3\). Zbl 0785.35086 Nier, Francis 29 1993 Schrödinger-Poisson systems in dimension \(d\leqq 3\): The whole-space case. Zbl 0807.35119 Nier, F. 12 1993 Numerical analysis of the deterministic particle method applied to the Wigner equation. Zbl 0763.65092 Arnold, Anton; Nier, Francis 1 1992 The two-dimensional Wigner-Poisson problem for an electron gas in the charge neutral case. Zbl 0742.35078 Arnold, Anton; Nier, Francis 13 1991 Semiconductor modelling via the Boltzmann equation. Zbl 0732.35098 Degond, P.; Guyot-Delaurens, F.; Mustieles, F. J.; Nier, F. 2 1991 A stationary Schrödinger-Poisson system arising from the modelling of electronic devices. Zbl 0716.34098 Nier, Francis 27 1990 Particle simulation of bidimensional electron transport parallel to a heterojunction interface. Zbl 0724.65133 Degond, P.; Delaurens, F.; Mustieles, F. J.; Nier, F. 3 1990 all cited Publications top 5 cited Publications all top 5 Cited by 814 Authors 20 Nier, Francis 15 Pavliotis, Grigorios A. 15 Rougerie, Nicolas 12 Lelièvre, Tony 12 Lewin, Mathieu 12 Li, Weixi 11 Hérau, Frédéric 10 Ben Abdallah, Naoufel 10 Bétermin, Laurent 10 Méhats, Florian 10 Phan Thành Nam 10 Pravda-Starov, Karel 9 Ammari, Zied 9 Falconi, Marco 9 Helffer, Bernard 9 Le Peutrec, Dorian 8 Arnold, Anton 8 Correggi, Michele 8 Dolbeault, Jean 8 Hitrik, Michael 8 Mouhot, Clément 7 Mischler, Stéphane 7 Nataf, Frédéric 7 Nectoux, Boris 7 Sohinger, Vedran 7 Stoltz, Gabriel 7 Tentarelli, Lorenzo 7 Thomann, Laurent 6 Aftalion, Amandine 6 Gander, Martin Jakob 6 Grothaus, Martin 6 Guillin, Arnaud 6 Klein, Markus 6 Michel, Laurent 6 Niikuni, Hiroaki 6 Rosenberger, Elke 6 Schlein, Benjamin 6 Sjöstrand, Johannes 5 Bedrossian, Jacob 5 Breteaux, Sébastien 5 Chen, Hua 5 Chniti, Chokri 5 Coti Zelati, Michele 5 Di Gesù, Giacomo 5 Geuzaine, Christophe A. 5 Hwang, Hyung Ju 5 Kuchment, Peter A. 5 Léautaud, Matthieu 5 López, José Luis 5 Macià, Fabricio 5 Mantile, Andrea 5 Pinaud, Olivier 5 Popoff, Nicolas 5 Rehberg, Joachim 5 Schlichting, André 5 Sigal, Israel Michael 5 Soler, Juan S. 5 Yngvason, Jakob 4 Adami, Riccardo 4 Blanc, Xavier 4 Carles, Rémi 4 Evans, Josephine A. 4 Fermanian-Kammerer, Clotilde 4 Germain, Pierre 4 Häfner, Dietrich 4 Hairer, Martin 4 Herda, Maxime 4 Jang, Juhi 4 Kaiser, Hans-Christoph 4 Karaki, Zeinab 4 Komech, Alexander Ilich 4 Lange, Horst 4 Maekawa, Yasunori 4 Menozzi, Stéphane 4 Neidhardt, Hagen 4 Schmeiser, Christian 4 Seiringer, Robert 4 Seo, Insuk 4 Serfaty, Sylvia 4 Xu, Chao-Jiang 4 Zhang, Hui 3 Aida, Shigeki 3 Amour, Laurent 3 Antoine, Xavier 3 Baudoin, Fabrice 3 Bierkens, Joris 3 Boni, Filippo 3 Bony, Jean-François 3 Carlone, Raffaele 3 Carrapatoso, Kleber 3 Castella, François 3 Cattiaux, Patrick 3 Chen, Thomas 3 Chen, Xuwen 3 Chenn, Ilias 3 Derridj, Makhlouf 3 Després, Bruno 3 Dovetta, Simone 3 Duncan, Andrew B. 3 Gallay, Thierry ...and 714 more Authors all top 5 Cited in 181 Serials 36 Journal of Functional Analysis 30 Journal of Statistical Physics 29 Journal of Mathematical Physics 22 Annales Henri Poincaré 21 Communications in Mathematical Physics 19 Archive for Rational Mechanics and Analysis 17 Journal de Mathématiques Pures et Appliquées. Neuvième Série 17 SIAM Journal on Mathematical Analysis 16 Communications in Partial Differential Equations 14 Reviews in Mathematical Physics 13 Journal of Differential Equations 12 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 11 Journal of Computational Physics 11 Comptes Rendus. Mathématique. Académie des Sciences, Paris 11 Kinetic and Related Models 9 Journal of Mathematical Analysis and Applications 9 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 8 Nonlinearity 8 Transactions of the American Mathematical Society 8 Pure and Applied Analysis 7 Annales de l’Institut Fourier 7 Inventiones Mathematicae 6 Mathematics of Computation 6 The Annals of Applied Probability 6 Journal of Nonlinear Science 6 SIAM/ASA Journal on Uncertainty Quantification 5 Letters in Mathematical Physics 5 Integral Equations and Operator Theory 5 Quarterly of Applied Mathematics 5 Journal of Scientific Computing 5 Communications in Contemporary Mathematics 5 Journal of Evolution Equations 5 Analysis & PDE 5 Journal of Pseudo-Differential Operators and Applications 4 Communications on Pure and Applied Mathematics 4 Advances in Mathematics 4 Journal of Computational and Applied Mathematics 4 Memoirs of the American Mathematical Society 4 Numerische Mathematik 4 Stochastic Processes and their Applications 4 Journal of the European Mathematical Society (JEMS) 4 Multiscale Modeling & Simulation 4 Journal of the Institute of Mathematics of Jussieu 4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 Journal of Physics A: Mathematical and Theoretical 4 Séminaire Laurent Schwartz. EDP et Applications 4 Annales Henri Lebesgue 3 Mathematical Methods in the Applied Sciences 3 Proceedings of the American Mathematical Society 3 SIAM Journal on Numerical Analysis 3 Tokyo Journal of Mathematics 3 St. Petersburg Mathematical Journal 3 Discrete and Continuous Dynamical Systems 3 Acta Numerica 3 Oberwolfach Reports 3 Science China. Mathematics 3 Analysis and Mathematical Physics 3 Statistics and Computing 3 Annals of PDE 3 Journal de l’École Polytechnique – Mathématiques 2 Computer Methods in Applied Mechanics and Engineering 2 Reports on Mathematical Physics 2 Transport Theory and Statistical Physics 2 The Annals of Probability 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Applied Mathematics and Computation 2 Mathematische Annalen 2 Mathematische Nachrichten 2 Mathematische Zeitschrift 2 Monatshefte für Mathematik 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 SIAM Journal on Control and Optimization 2 Annals of Global Analysis and Geometry 2 Physica D 2 Applied Numerical Mathematics 2 Probability Theory and Related Fields 2 Revista Matemática Iberoamericana 2 Numerical Methods for Partial Differential Equations 2 Applied Mathematics Letters 2 Bulletin of the American Mathematical Society. New Series 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 SIAM Journal on Scientific Computing 2 Bulletin des Sciences Mathématiques 2 Bernoulli 2 Documenta Mathematica 2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 2 Communications on Pure and Applied Analysis 2 SIAM Journal on Applied Dynamical Systems 2 Communications in Computational Physics 2 Discrete and Continuous Dynamical Systems. Series S 2 Journal of Spectral Theory 2 S\(\vec{\text{e}}\)MA Journal 2 Stochastic and Partial Differential Equations. Analysis and Computations 2 EMS Surveys in Mathematical Sciences 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 Tunisian Journal of Mathematics 2 Probability and Mathematical Physics 1 Advances in Applied Probability 1 Computers & Mathematics with Applications ...and 81 more Serials all top 5 Cited in 50 Fields 441 Partial differential equations (35-XX) 220 Statistical mechanics, structure of matter (82-XX) 180 Quantum theory (81-XX) 111 Probability theory and stochastic processes (60-XX) 109 Operator theory (47-XX) 98 Numerical analysis (65-XX) 51 Global analysis, analysis on manifolds (58-XX) 44 Dynamical systems and ergodic theory (37-XX) 44 Fluid mechanics (76-XX) 26 Ordinary differential equations (34-XX) 22 Functional analysis (46-XX) 21 Optics, electromagnetic theory (78-XX) 16 Differential geometry (53-XX) 14 Systems theory; control (93-XX) 13 Calculus of variations and optimal control; optimization (49-XX) 11 Integral equations (45-XX) 8 Combinatorics (05-XX) 8 Algebraic geometry (14-XX) 8 Mechanics of deformable solids (74-XX) 8 Biology and other natural sciences (92-XX) 7 Real functions (26-XX) 7 Statistics (62-XX) 7 Relativity and gravitational theory (83-XX) 6 Several complex variables and analytic spaces (32-XX) 6 Difference and functional equations (39-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Manifolds and cell complexes (57-XX) 5 Measure and integration (28-XX) 5 Mechanics of particles and systems (70-XX) 5 Information and communication theory, circuits (94-XX) 4 General and overarching topics; collections (00-XX) 4 Functions of a complex variable (30-XX) 3 Number theory (11-XX) 3 Topological groups, Lie groups (22-XX) 3 Potential theory (31-XX) 3 Integral transforms, operational calculus (44-XX) 3 Convex and discrete geometry (52-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Special functions (33-XX) 2 Algebraic topology (55-XX) 2 Astronomy and astrophysics (85-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Approximations and expansions (41-XX) 1 Geometry (51-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year