Edit Profile (opens in new tab) Agueh, Martial Compute Distance To: Compute Author ID: agueh.martial Published as: Agueh, Martial; Agueh, M. Documents Indexed: 28 Publications since 2003 Co-Authors: 13 Co-Authors with 19 Joint Publications 463 Co-Co-Authors all top 5 Co-Authors 9 single-authored 6 Carlier, Guillaume 4 Khouider, Boualem 4 Saumier, Louis-Philippe 3 Ghoussoub, Nassif A. 3 Illner, Reinhard 2 Bowles, Malcolm 2 Kang, Xiaosong 2 Sospedra-Alfonso, Reinel 1 Blanchet, Adrien 1 Boroushaki, Shirin 1 Carrillo de la Plata, José Antonio 1 Igbida, Noureddine 1 Richardson, Ashlin all top 5 Serials 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Archive for Rational Mechanics and Analysis 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Acta Applicandae Mathematicae 2 Kinetic and Related Models 1 IMA Journal of Applied Mathematics 1 Inverse Problems 1 Applied Mathematics Letters 1 Geometric and Functional Analysis. GAFA 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 Journal of Dynamics and Differential Equations 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Calculus of Variations and Partial Differential Equations 1 NoDEA. Nonlinear Differential Equations and Applications 1 Advances in Differential Equations 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Journal of Evolution Equations 1 Communications in Mathematical Sciences 1 Advances in Calculus of Variations all top 5 Fields 20 Partial differential equations (35-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Numerical analysis (65-XX) 3 Real functions (26-XX) 3 Difference and functional equations (39-XX) 3 Probability theory and stochastic processes (60-XX) 3 Fluid mechanics (76-XX) 2 Functional analysis (46-XX) 1 Measure and integration (28-XX) 1 Ordinary differential equations (34-XX) 1 Integral equations (45-XX) 1 Differential geometry (53-XX) 1 Optics, electromagnetic theory (78-XX) 1 Relativity and gravitational theory (83-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 25 Publications have been cited 354 times in 290 Documents Cited by ▼ Year ▼ Barycenters in the Wasserstein space. Zbl 1223.49045Agueh, Martial; Carlier, Guillaume 115 2011 Existence of solutions to degenerate parabolic equations via the Monge-Kantorovich theory. Zbl 1103.35051Agueh, Martial 50 2005 Geometric inequalities via a general comparison principle for interacting gases. Zbl 1122.82022Agueh, M.; Ghoussoub, N.; Kang, X. 33 2004 Sharp Gagliardo-Nirenberg inequalities via \(p\)-Laplacian type equations. Zbl 1175.39012Agueh, Martial 23 2008 Gagliardo-Nirenberg inequalities involving the gradient \(L^2\)-norm. Zbl 1149.35329Agueh, Martial 20 2008 Analysis and simulations of a refined flocking and swarming model of Cucker-Smale type. Zbl 1208.92096Agueh, Martial; Illner, Reinhard; Richardson, Ashlin 18 2011 An efficient numerical algorithm for the \(L^{2}\) optimal transport problem with periodic densities. Zbl 1408.49022Saumier, Louis-Philippe; Agueh, Martial; Khouider, Boualem 16 2015 Sharp Gagliardo-Nirenberg inequalities and mass transport theory. Zbl 1155.35320Agueh, M. 15 2006 Large time asymptotics of the doubly nonlinear equation in the non-displacement convexity regime. Zbl 1239.35063Agueh, Martial; Blanchet, Adrien; Carrillo, José A. 9 2010 Asymptotic behavior for doubly degenerate parabolic equations. Zbl 1029.35144Agueh, Martial 9 2003 Rates of decay to equilibria for \(p\)-Laplacian type equations. Zbl 1185.35017Agueh, Martial 6 2008 Global classical solutions of the relativistic Vlasov-Darwin system with small Cauchy data: the generalized variables approach. Zbl 1256.35172Sospedra-Alfonso, Reinel; Agueh, Martial; Illner, Reinhard 5 2012 One-dimensional numerical algorithms for gradient flows in the \(p\)-Wasserstein spaces. Zbl 1268.65087Agueh, Martial; Bowles, Malcolm 5 2013 Towards a central limit theorem in the Wasserstein space? (Vers un théorème de la limite centrale dans l’espace de Wasserstein?) Zbl 1388.60061Agueh, Martial; Carlier, Guillaume 4 2017 Finsler structure in the \(p\)-Wasserstein space and gradient flows. Zbl 1239.53021Agueh, Martial 4 2012 Local existence of weak solutions to kinetic models of granular media. Zbl 1338.35427Agueh, Martial 4 2016 Optimal transport for particle image velocimetry. Zbl 1309.76169Saumier, Louis-Philippe; Khouider, Boualem; Agueh, Martial 4 2015 A dual Moser-Onofri inequality and its extensions to higher dimensional spheres. Zbl 1370.35021Agueh, Martial; Boroushaki, Shirin; Ghoussoub, Nassif 3 2017 Uniqueness of the compactly supported weak solutions of the relativistic Vlasov-Darwin system. Zbl 1268.82010Sospedra-Alfonso, Reinel; Agueh, Martial 2 2013 On the minimizing movement with the 1-Wasserstein distance. Zbl 1414.35109Agueh, Martial; Carlier, Guillaume; Igbida, Noureddine 2 2018 Optimal transport for particle image velocimetry: real data and postprocessing algorithms. Zbl 1330.76111Saumier, Louis-Philippe; Khouider, Boualem; Agueh, Martial 2 2015 Weak solutions to a fractional Fokker-Planck equation via splitting and Wasserstein gradient flow. Zbl 1319.35288Bowles, Malcolm; Agueh, Martial 2 2015 The optimal evolution of the free energy of interacting gases and its applications. Zbl 1095.49012Agueh, Martial; Ghoussoub, Nassif; Kang, Xiaosong 1 2003 Generalized solutions of a kinetic granular media equation by a gradient flow approach. Zbl 1339.35309Agueh, Martial; Carlier, Guillaume 1 2016 Remarks on a class of kinetic models of granular media: asymptotics and entropy bounds. Zbl 1330.82034Agueh, Martial; Carlier, Guillaume; Illner, Reinhard 1 2015 On the minimizing movement with the 1-Wasserstein distance. Zbl 1414.35109Agueh, Martial; Carlier, Guillaume; Igbida, Noureddine 2 2018 Towards a central limit theorem in the Wasserstein space? (Vers un théorème de la limite centrale dans l’espace de Wasserstein?) Zbl 1388.60061Agueh, Martial; Carlier, Guillaume 4 2017 A dual Moser-Onofri inequality and its extensions to higher dimensional spheres. Zbl 1370.35021Agueh, Martial; Boroushaki, Shirin; Ghoussoub, Nassif 3 2017 Local existence of weak solutions to kinetic models of granular media. Zbl 1338.35427Agueh, Martial 4 2016 Generalized solutions of a kinetic granular media equation by a gradient flow approach. Zbl 1339.35309Agueh, Martial; Carlier, Guillaume 1 2016 An efficient numerical algorithm for the \(L^{2}\) optimal transport problem with periodic densities. Zbl 1408.49022Saumier, Louis-Philippe; Agueh, Martial; Khouider, Boualem 16 2015 Optimal transport for particle image velocimetry. Zbl 1309.76169Saumier, Louis-Philippe; Khouider, Boualem; Agueh, Martial 4 2015 Optimal transport for particle image velocimetry: real data and postprocessing algorithms. Zbl 1330.76111Saumier, Louis-Philippe; Khouider, Boualem; Agueh, Martial 2 2015 Weak solutions to a fractional Fokker-Planck equation via splitting and Wasserstein gradient flow. Zbl 1319.35288Bowles, Malcolm; Agueh, Martial 2 2015 Remarks on a class of kinetic models of granular media: asymptotics and entropy bounds. Zbl 1330.82034Agueh, Martial; Carlier, Guillaume; Illner, Reinhard 1 2015 One-dimensional numerical algorithms for gradient flows in the \(p\)-Wasserstein spaces. Zbl 1268.65087Agueh, Martial; Bowles, Malcolm 5 2013 Uniqueness of the compactly supported weak solutions of the relativistic Vlasov-Darwin system. Zbl 1268.82010Sospedra-Alfonso, Reinel; Agueh, Martial 2 2013 Global classical solutions of the relativistic Vlasov-Darwin system with small Cauchy data: the generalized variables approach. Zbl 1256.35172Sospedra-Alfonso, Reinel; Agueh, Martial; Illner, Reinhard 5 2012 Finsler structure in the \(p\)-Wasserstein space and gradient flows. Zbl 1239.53021Agueh, Martial 4 2012 Barycenters in the Wasserstein space. Zbl 1223.49045Agueh, Martial; Carlier, Guillaume 115 2011 Analysis and simulations of a refined flocking and swarming model of Cucker-Smale type. Zbl 1208.92096Agueh, Martial; Illner, Reinhard; Richardson, Ashlin 18 2011 Large time asymptotics of the doubly nonlinear equation in the non-displacement convexity regime. Zbl 1239.35063Agueh, Martial; Blanchet, Adrien; Carrillo, José A. 9 2010 Sharp Gagliardo-Nirenberg inequalities via \(p\)-Laplacian type equations. Zbl 1175.39012Agueh, Martial 23 2008 Gagliardo-Nirenberg inequalities involving the gradient \(L^2\)-norm. Zbl 1149.35329Agueh, Martial 20 2008 Rates of decay to equilibria for \(p\)-Laplacian type equations. Zbl 1185.35017Agueh, Martial 6 2008 Sharp Gagliardo-Nirenberg inequalities and mass transport theory. Zbl 1155.35320Agueh, M. 15 2006 Existence of solutions to degenerate parabolic equations via the Monge-Kantorovich theory. Zbl 1103.35051Agueh, Martial 50 2005 Geometric inequalities via a general comparison principle for interacting gases. Zbl 1122.82022Agueh, M.; Ghoussoub, N.; Kang, X. 33 2004 Asymptotic behavior for doubly degenerate parabolic equations. Zbl 1029.35144Agueh, Martial 9 2003 The optimal evolution of the free energy of interacting gases and its applications. Zbl 1095.49012Agueh, Martial; Ghoussoub, Nassif; Kang, Xiaosong 1 2003 all cited Publications top 5 cited Publications all top 5 Cited by 480 Authors 15 Agueh, Martial 11 Carlier, Guillaume 11 Peyré, Gabriel 10 Carrillo de la Plata, José Antonio 9 Cuturi, Marco 7 Pass, Brendan W. 6 Schmitzer, Bernhard 5 Kim, Sejong 5 Slepčev, Dejan 5 Vazquez, Juan Luis 5 Zemel, Yoav 4 Ambrosio, Luigi 4 Benamou, Jean-David 4 Bigot, Jéremie 4 Calvo, Juan G. 4 Ceccon, Jurandir 4 del Barrio, Eustasio 4 Ferreira, Lucas Catão de Freitas 4 Ghoussoub, Nassif A. 4 Jain, Tanvi 4 Kim, Young-Heon 4 Lam, Nguyen 4 Loubes, Jean-Michel 4 Matthes, Daniel 4 McCann, Robert J. 4 Mérigot, Quentin 4 Zeng, Xiaoyu 3 Audrito, Alessandro 3 Bhatia, Rajendra 3 Bonneel, Nicolas 3 Choi, Young-Pil 3 Cuesta-Albertos, Juan Antonio 3 Dolbeault, Jean 3 Friesecke, Gero 3 Froese, Brittany D. 3 Gallouët, Thomas O. 3 Gerolin, Augusto 3 Hwang, Jinmi 3 Kitagawa, Jun 3 Kroshnin, Alexey 3 Laborde, Maxime 3 Le Gouic, Thibaut 3 Lisini, Stefano 3 Lu, Guozhen 3 Matrán, Carlos 3 Monsaingeon, Léonard 3 Panaretos, Victor M. 3 Santambrogio, Filippo 3 Savaré, Giuseppe 3 Spokoiny, Vladimir G. 3 Suvorikova, Alexandra 3 Valencia-Guevara, Julio C. 2 Abraham, Isabelle 2 Abraham, Romain 2 Altschuler, Jason M. 2 Álvarez-Esteban, Pedro César 2 Bercher, Jean-François 2 Bergounioux, Maïtine 2 Boix-Adserà, Enric 2 Brasco, Lorenzo 2 Campos, Juan 2 Cancès, Clément 2 Caselles Costa, Vicent 2 Cazelles, Elsa 2 Chen, Yangang 2 Coeurjolly, David 2 Del Pino, Manuel A. 2 Duval, Vincent 2 Ehrlacher, Virginie 2 Figalli, Alessio 2 Froese Hamfeldt, Brittany 2 Gentil, Ivan 2 Gigli, Nicola 2 Ha, Seung-Yeal 2 Han-Kwan, Daniel 2 Heitz, Matthieu 2 Hynd, Ryan 2 Igbida, Noureddine 2 Junge, Oliver 2 Kausamo, Anna 2 Khouider, Boualem 2 Klein, Thierry E. 2 Kolesnikov, Alexander V. 2 Laurençot, Philippe 2 Laurent, Thomas 2 Lee, Hosoo 2 Li, Xiuting 2 Lim, Yongdo 2 Lindgren, Erik 2 Lombardi, Damiano 2 Marcos, Aboubacar 2 Matioc, Bogdan-Vasile 2 Mazón Ruiz, José M. 2 Montenegro, Marcos 2 Munk, Axel 2 Nenna, Luca 2 Nguyễn Văn Hoàng 2 Niculescu, Constantin P. 2 Oberman, Adam M. 2 Ohta, Shin-ichi ...and 380 more Authors all top 5 Cited in 135 Serials 13 Calculus of Variations and Partial Differential Equations 11 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 11 SIAM Journal on Mathematical Analysis 10 Journal of Mathematical Analysis and Applications 8 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 7 Journal of Differential Equations 7 Comptes Rendus. Mathématique. Académie des Sciences, Paris 7 SIAM Journal on Imaging Sciences 6 Journal of Functional Analysis 6 SIAM Journal on Scientific Computing 5 Advances in Mathematics 5 Discrete and Continuous Dynamical Systems 4 Journal of Mathematical Physics 4 Mathematics of Computation 4 Journal of Scientific Computing 4 Journal of the European Mathematical Society (JEMS) 4 Journal of Machine Learning Research (JMLR) 3 Archive for Rational Mechanics and Analysis 3 Journal of Computational Physics 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Applied Mathematics and Optimization 3 Numerische Mathematik 3 Physica D 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Journal of Mathematical Imaging and Vision 3 Bernoulli 3 Journal of Evolution Equations 3 Electronic Journal of Statistics 3 SIAM Journal on Mathematics of Data Science 2 Advances in Applied Probability 2 The Annals of Statistics 2 Journal of the Mathematical Society of Japan 2 Journal of Multivariate Analysis 2 Manuscripta Mathematica 2 SIAM Journal on Control and Optimization 2 SIAM Journal on Numerical Analysis 2 Transactions of the American Mathematical Society 2 Acta Applicandae Mathematicae 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Probability Theory and Related Fields 2 Applied Mathematics Letters 2 Machine Learning 2 The Journal of Geometric Analysis 2 Expositiones Mathematicae 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Advanced Nonlinear Studies 2 Mathematical Biosciences and Engineering 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Advances in Calculus of Variations 2 Journal of Computational and Graphical Statistics 2 Annals of Functional Analysis 2 Statistics and Computing 1 Communications in Mathematical Physics 1 Communications on Pure and Applied Mathematics 1 Letters in Mathematical Physics 1 Nonlinearity 1 Physica A 1 Reviews in Mathematical Physics 1 The Mathematical Intelligencer 1 Duke Mathematical Journal 1 Inventiones Mathematicae 1 Journal of Approximation Theory 1 Journal of the Korean Mathematical Society 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Annalen 1 Mathematics and Computers in Simulation 1 Mathematics of Operations Research 1 Memoirs of the American Mathematical Society 1 Monatshefte für Mathematik 1 Proceedings of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 Quarterly of Applied Mathematics 1 Bulletin of the Korean Mathematical Society 1 Statistics & Probability Letters 1 Chinese Annals of Mathematics. Series B 1 ACM Transactions on Graphics 1 Revista Matemática Iberoamericana 1 European Journal of Applied Mathematics 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Neural Computation 1 The Annals of Applied Probability 1 Applied Mathematical Modelling 1 Communications in Partial Differential Equations 1 International Journal of Computer Mathematics 1 Journal of Statistical Computation and Simulation 1 Linear Algebra and its Applications 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Applied Mathematics 1 SIAM Review 1 Mathematical Programming. Series A. Series B 1 Journal of Dynamics and Differential Equations 1 SIAM Journal on Optimization 1 Potential Analysis 1 Journal of Mathematical Sciences (New York) 1 Journal of Convex Analysis 1 Bulletin des Sciences Mathématiques 1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 1 Mathematical Methods of Operations Research 1 Data Mining and Knowledge Discovery ...and 35 more Serials all top 5 Cited in 47 Fields 120 Partial differential equations (35-XX) 82 Calculus of variations and optimal control; optimization (49-XX) 51 Numerical analysis (65-XX) 38 Probability theory and stochastic processes (60-XX) 33 Statistics (62-XX) 27 Functional analysis (46-XX) 23 Real functions (26-XX) 23 Computer science (68-XX) 23 Operations research, mathematical programming (90-XX) 19 Differential geometry (53-XX) 19 Statistical mechanics, structure of matter (82-XX) 18 Global analysis, analysis on manifolds (58-XX) 18 Fluid mechanics (76-XX) 15 Operator theory (47-XX) 15 Biology and other natural sciences (92-XX) 14 Information and communication theory, circuits (94-XX) 13 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 12 Measure and integration (28-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 7 Difference and functional equations (39-XX) 6 Systems theory; control (93-XX) 5 Integral equations (45-XX) 5 Quantum theory (81-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Convex and discrete geometry (52-XX) 3 Geometry (51-XX) 3 General topology (54-XX) 2 Ordinary differential equations (34-XX) 2 Approximations and expansions (41-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Mechanics of particles and systems (70-XX) 2 Mechanics of deformable solids (74-XX) 2 Optics, electromagnetic theory (78-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Manifolds and cell complexes (57-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX) 1 Mathematics education (97-XX) Citations by Year