Agueh, Martial

Compute Distance To:
 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
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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
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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)

Citations contained in zbMATH Open

25 Publications have been cited 354 times in 290 Documents Cited by Year
Barycenters in the Wasserstein space. Zbl 1223.49045
Agueh, Martial; Carlier, Guillaume
2011
Existence of solutions to degenerate parabolic equations via the Monge-Kantorovich theory. Zbl 1103.35051
Agueh, Martial
2005
Geometric inequalities via a general comparison principle for interacting gases. Zbl 1122.82022
Agueh, M.; Ghoussoub, N.; Kang, X.
2004
Sharp Gagliardo-Nirenberg inequalities via $$p$$-Laplacian type equations. Zbl 1175.39012
Agueh, Martial
2008
Gagliardo-Nirenberg inequalities involving the gradient $$L^2$$-norm. Zbl 1149.35329
Agueh, Martial
2008
Analysis and simulations of a refined flocking and swarming model of Cucker-Smale type. Zbl 1208.92096
Agueh, Martial; Illner, Reinhard; Richardson, Ashlin
2011
An efficient numerical algorithm for the $$L^{2}$$ optimal transport problem with periodic densities. Zbl 1408.49022
Saumier, Louis-Philippe; Agueh, Martial; Khouider, Boualem
2015
Sharp Gagliardo-Nirenberg inequalities and mass transport theory. Zbl 1155.35320
Agueh, M.
2006
Large time asymptotics of the doubly nonlinear equation in the non-displacement convexity regime. Zbl 1239.35063
Agueh, Martial; Blanchet, Adrien; Carrillo, José A.
2010
Asymptotic behavior for doubly degenerate parabolic equations. Zbl 1029.35144
Agueh, Martial
2003
Rates of decay to equilibria for $$p$$-Laplacian type equations. Zbl 1185.35017
Agueh, Martial
2008
Global classical solutions of the relativistic Vlasov-Darwin system with small Cauchy data: the generalized variables approach. Zbl 1256.35172
Sospedra-Alfonso, Reinel; Agueh, Martial; Illner, Reinhard
2012
One-dimensional numerical algorithms for gradient flows in the $$p$$-Wasserstein spaces. Zbl 1268.65087
Agueh, Martial; Bowles, Malcolm
2013
Towards a central limit theorem in the Wasserstein space? (Vers un théorème de la limite centrale dans l’espace de Wasserstein?) Zbl 1388.60061
Agueh, Martial; Carlier, Guillaume
2017
Finsler structure in the $$p$$-Wasserstein space and gradient flows. Zbl 1239.53021
Agueh, Martial
2012
Local existence of weak solutions to kinetic models of granular media. Zbl 1338.35427
Agueh, Martial
2016
Optimal transport for particle image velocimetry. Zbl 1309.76169
Saumier, Louis-Philippe; Khouider, Boualem; Agueh, Martial
2015
A dual Moser-Onofri inequality and its extensions to higher dimensional spheres. Zbl 1370.35021
Agueh, Martial; Boroushaki, Shirin; Ghoussoub, Nassif
2017
Uniqueness of the compactly supported weak solutions of the relativistic Vlasov-Darwin system. Zbl 1268.82010
Sospedra-Alfonso, Reinel; Agueh, Martial
2013
On the minimizing movement with the 1-Wasserstein distance. Zbl 1414.35109
Agueh, Martial; Carlier, Guillaume; Igbida, Noureddine
2018
Optimal transport for particle image velocimetry: real data and postprocessing algorithms. Zbl 1330.76111
Saumier, Louis-Philippe; Khouider, Boualem; Agueh, Martial
2015
Weak solutions to a fractional Fokker-Planck equation via splitting and Wasserstein gradient flow. Zbl 1319.35288
Bowles, Malcolm; Agueh, Martial
2015
The optimal evolution of the free energy of interacting gases and its applications. Zbl 1095.49012
Agueh, Martial; Ghoussoub, Nassif; Kang, Xiaosong
2003
Generalized solutions of a kinetic granular media equation by a gradient flow approach. Zbl 1339.35309
Agueh, Martial; Carlier, Guillaume
2016
Remarks on a class of kinetic models of granular media: asymptotics and entropy bounds. Zbl 1330.82034
Agueh, Martial; Carlier, Guillaume; Illner, Reinhard
2015
On the minimizing movement with the 1-Wasserstein distance. Zbl 1414.35109
Agueh, Martial; Carlier, Guillaume; Igbida, Noureddine
2018
Towards a central limit theorem in the Wasserstein space? (Vers un théorème de la limite centrale dans l’espace de Wasserstein?) Zbl 1388.60061
Agueh, Martial; Carlier, Guillaume
2017
A dual Moser-Onofri inequality and its extensions to higher dimensional spheres. Zbl 1370.35021
Agueh, Martial; Boroushaki, Shirin; Ghoussoub, Nassif
2017
Local existence of weak solutions to kinetic models of granular media. Zbl 1338.35427
Agueh, Martial
2016
Generalized solutions of a kinetic granular media equation by a gradient flow approach. Zbl 1339.35309
Agueh, Martial; Carlier, Guillaume
2016
An efficient numerical algorithm for the $$L^{2}$$ optimal transport problem with periodic densities. Zbl 1408.49022
Saumier, Louis-Philippe; Agueh, Martial; Khouider, Boualem
2015
Optimal transport for particle image velocimetry. Zbl 1309.76169
Saumier, Louis-Philippe; Khouider, Boualem; Agueh, Martial
2015
Optimal transport for particle image velocimetry: real data and postprocessing algorithms. Zbl 1330.76111
Saumier, Louis-Philippe; Khouider, Boualem; Agueh, Martial
2015
Weak solutions to a fractional Fokker-Planck equation via splitting and Wasserstein gradient flow. Zbl 1319.35288
Bowles, Malcolm; Agueh, Martial
2015
Remarks on a class of kinetic models of granular media: asymptotics and entropy bounds. Zbl 1330.82034
Agueh, Martial; Carlier, Guillaume; Illner, Reinhard
2015
One-dimensional numerical algorithms for gradient flows in the $$p$$-Wasserstein spaces. Zbl 1268.65087
Agueh, Martial; Bowles, Malcolm
2013
Uniqueness of the compactly supported weak solutions of the relativistic Vlasov-Darwin system. Zbl 1268.82010
Sospedra-Alfonso, Reinel; Agueh, Martial
2013
Global classical solutions of the relativistic Vlasov-Darwin system with small Cauchy data: the generalized variables approach. Zbl 1256.35172
Sospedra-Alfonso, Reinel; Agueh, Martial; Illner, Reinhard
2012
Finsler structure in the $$p$$-Wasserstein space and gradient flows. Zbl 1239.53021
Agueh, Martial
2012
Barycenters in the Wasserstein space. Zbl 1223.49045
Agueh, Martial; Carlier, Guillaume
2011
Analysis and simulations of a refined flocking and swarming model of Cucker-Smale type. Zbl 1208.92096
Agueh, Martial; Illner, Reinhard; Richardson, Ashlin
2011
Large time asymptotics of the doubly nonlinear equation in the non-displacement convexity regime. Zbl 1239.35063
Agueh, Martial; Blanchet, Adrien; Carrillo, José A.
2010
Sharp Gagliardo-Nirenberg inequalities via $$p$$-Laplacian type equations. Zbl 1175.39012
Agueh, Martial
2008
Gagliardo-Nirenberg inequalities involving the gradient $$L^2$$-norm. Zbl 1149.35329
Agueh, Martial
2008
Rates of decay to equilibria for $$p$$-Laplacian type equations. Zbl 1185.35017
Agueh, Martial
2008
Sharp Gagliardo-Nirenberg inequalities and mass transport theory. Zbl 1155.35320
Agueh, M.
2006
Existence of solutions to degenerate parabolic equations via the Monge-Kantorovich theory. Zbl 1103.35051
Agueh, Martial
2005
Geometric inequalities via a general comparison principle for interacting gases. Zbl 1122.82022
Agueh, M.; Ghoussoub, N.; Kang, X.
2004
Asymptotic behavior for doubly degenerate parabolic equations. Zbl 1029.35144
Agueh, Martial
2003
The optimal evolution of the free energy of interacting gases and its applications. Zbl 1095.49012
Agueh, Martial; Ghoussoub, Nassif; Kang, Xiaosong
2003
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
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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
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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)