Edit Profile (opens in new tab) Martin, Sébastien Co-Author Distance Author ID: martin.sebastien Published as: Martin, Sébastien; Martin, S. Homepage: http://www.math-info.univ-paris5.fr/~smarti02/ Documents Indexed: 44 Publications since 2005, including 4 Additional arXiv Preprints Co-Authors: 18 Co-Authors with 25 Joint Publications 619 Co-Co-Authors all top 5 Co-Authors 2 single-authored 7 Chupin, Laurent 6 Bayada, Guy 6 Maury, Bertrand 5 Decoene, Astrid 5 Vázquez Cendón, Carlos 4 Grandmont, Céline 3 Kacem, Imed 3 Lacouture, Loïc 3 Róka, Zsuzsanna 3 Vovelle, Julien 2 Bertoluzza, Silvia 2 Boudin, Laurent 2 Grec, Bérénice 2 Hassan, Mohammed-Albarra 2 Hilhorst, Danielle 2 Laroche, Pierre 2 Marchetti, Franc 2 Mimura, Masayasu 2 Osman, Izzeldin M. 1 Allenou, J. 1 Balac, Stéphane 1 Becker, Matthias 1 Bertsimas, Dimitris John 1 Bonnefoy, Olivier 1 Delarue, Arthur 1 Dingreville, Rémi 1 Faure, Sylvain 1 Fouchet-Incaux, Justine 1 Geara, S. 1 Ginoux, Nicolas 1 Grange, Aristide 1 Healy, Patrick 1 Ichim, Andrei 1 Jaillet, Patrick 1 Jozefowiez, Nicolas 1 Lorz, Alexander 1 Mecherbet, Amina 1 Minich, Sarah 1 Nagih, Anass 1 Noël, Frédérique 1 Petry, Walter 1 Similowski, T. 1 Stepnik, B. 1 Straus, C. 1 Takahashi, Takéo 1 Tang, Min all top 5 Serials 4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 2 Quarterly of Applied Mathematics 2 RAIRO. Operations Research 1 Computers and Fluids 1 Computer Methods in Applied Mechanics and Engineering 1 Journal of Mathematical Analysis and Applications 1 Journal of Differential Equations 1 Numerische Mathematik 1 Operations Research 1 SIAM Journal on Control and Optimization 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Numerical Methods for Partial Differential Equations 1 Asymptotic Analysis 1 European Journal of Applied Mathematics 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 European Journal of Operational Research 1 SIAM Journal on Mathematical Analysis 1 Mathematical Problems in Engineering 1 Journal of Combinatorial Optimization 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Nonlinear Analysis. Real World Applications 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Discrete Optimization 1 Mathematical Modelling of Natural Phenomena 1 Journal of Theoretical Biology 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys all top 5 Fields 22 Fluid mechanics (76-XX) 19 Partial differential equations (35-XX) 9 Biology and other natural sciences (92-XX) 6 Numerical analysis (65-XX) 6 Operations research, mathematical programming (90-XX) 4 Mechanics of deformable solids (74-XX) 3 Combinatorics (05-XX) 2 Group theory and generalizations (20-XX) 2 Computer science (68-XX) 1 Ordinary differential equations (34-XX) 1 Approximations and expansions (41-XX) 1 Convex and discrete geometry (52-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 26 Publications have been cited 114 times in 100 Documents Cited by ▼ Year ▼ First order quasilinear equations with boundary conditions in the \(L^{\infty}\) framework. Zbl 1117.35043 Martin, Sébastien 14 2007 Local error estimates of the finite element method for an elliptic problem with a Dirac source term. Zbl 1390.65141 Bertoluzza, Silvia; Decoene, Astrid; Lacouture, Loïc; Martin, Sébastien 14 2018 Rigorous derivation of the thin film approximation with roughness-induced correctors. Zbl 1256.35077 Chupin, Laurent; Martin, Sébastien 11 2012 Microscopic modelling of active bacterial suspensions. Zbl 1229.70023 Decoene, A.; Martin, S.; Maury, B. 11 2011 Two-scale homogenization of a hydrodynamic Elrod-Adams model. Zbl 1108.35007 Bayada, G.; Martin, S.; Vázquez, C. 8 2005 Convergence of implicit finite volume methods for scalar conservation laws with discontinuous flux function. Zbl 1155.65071 Martin, Sébastien; Vovelle, Julien 8 2008 About a generalized Buckley-Leverett equation and lubrication multifluid flow. Zbl 1127.35044 Bayada, Guy; Martin, Sébastien; Vázquez, Carlos 7 2006 Influence of multiscale roughness patterns in cavitated flows: Applications to journal bearings. Zbl 1151.76430 Martin, Sébastien 7 2008 Viscoelastic fluids in a thin domain. Zbl 1153.76015 Bayada, G.; Chupin, L.; Martin, S. 6 2007 Singular limit of a competition-diffusion system with large interspecific interaction. Zbl 1236.35208 Hilhorst, Danielle; Martin, Sébastien; Mimura, Masayasu 5 2012 Homogenization of a nonlocal elastohydrodynamic lubrication problem: a new free boundary model. Zbl 1080.74041 Bayada, G.; Martin, S.; Vázquez, C. 5 2005 Viscoelastic flows in a rough channel: a multiscale analysis. Zbl 1381.76017 Chupin, Laurent; Martin, Sébastien 4 2017 Local error analysis for the Stokes equations with a punctual source term. Zbl 1433.65278 Bertoluzza, Silvia; Decoene, Astrid; Lacouture, Loïc; Martin, Sébastien 4 2018 Travel time estimation in the age of big data. Zbl 1444.90022 Bertsimas, Dimitris; Delarue, Arthur; Jaillet, Patrick; Martin, Sébastien 3 2019 Accelerating phase-field predictions via recurrent neural networks learning the microstructure evolution in latent space. Zbl 1507.74257 Hu, C.; Martin, S.; Dingreville, R. 3 2022 Modeling of the oxygen transfer in the respiratory process. Zbl 1402.92140 Martin, Sébastien; Maury, Bertrand 3 2013 Large-time behaviour of the entropy solution of a scalar conservation law with boundary conditions. Zbl 1142.35512 Martin, S.; Vovelle, J. 2 2007 Homogenization of the layer-structured dam problem with isotropic permeability. Zbl 1302.76179 Martin, Sébastien; Vázquez, Carlos 2 2013 Modeling of the air flow in the human respiratory system: a numerical stability study. (Modélisation de l’écoulement de l’air dans l’appareil respiratoire humain: étude de stabilité numérique.) Zbl 1307.92058 Fouchet-Incaux, J.; Grandmont, C.; Martin, S. 2 2014 Fluid-kinetic modelling for respiratory aerosols with variable size and temperature. Zbl 1446.76168 Boudin, Laurent; Grandmont, Céline; Grec, Bérénice; Martin, Sébastien; Mecherbet, Amina; Noël, Frédérique 2 2020 A new SPH density formulation for 3D free-surface flows. Zbl 1521.76654 Geara, S.; Martin, S.; Adami, S.; Petry, W.; Allenou, J.; Stepnik, B.; Bonnefoy, O. 2 2022 On the \(m\)-clique free interval subgraphs polytope: polyhedral analysis and applications. Zbl 1418.05103 Hassan, Mohammed-Albarra; Kacem, Imed; Martin, Sébastien; Osman, Izzeldin M. 2 2018 Impact of respiratory mechanics model parameters on gas exchange efficiency. Zbl 1156.92310 Martin, S.; Similowski, T.; Straus, C.; Maury, B. 1 2008 Unrelated parallel machine scheduling problem with precedence constraints: polyhedral analysis and branch-and-cut. Zbl 1451.90060 Hassan, Mohammed-Albarra; Kacem, Imed; Martin, Sébastien; Osman, Izzeldin M. 1 2016 Viscoelastic fluids in a thin domain: a mathematical study for a non-Newtonian lubrication problem. Zbl 1190.76137 Bayada, G.; Chupin, L.; Martin, S. 1 2008 Simulation of self-propelled chemotactic bacteria in a Stokes flow. Zbl 1427.76290 Decoene, A.; Lorz, A.; Martin, S.; Maury, B.; Tang, M. 1 2010 Accelerating phase-field predictions via recurrent neural networks learning the microstructure evolution in latent space. Zbl 1507.74257 Hu, C.; Martin, S.; Dingreville, R. 3 2022 A new SPH density formulation for 3D free-surface flows. Zbl 1521.76654 Geara, S.; Martin, S.; Adami, S.; Petry, W.; Allenou, J.; Stepnik, B.; Bonnefoy, O. 2 2022 Fluid-kinetic modelling for respiratory aerosols with variable size and temperature. Zbl 1446.76168 Boudin, Laurent; Grandmont, Céline; Grec, Bérénice; Martin, Sébastien; Mecherbet, Amina; Noël, Frédérique 2 2020 Travel time estimation in the age of big data. Zbl 1444.90022 Bertsimas, Dimitris; Delarue, Arthur; Jaillet, Patrick; Martin, Sébastien 3 2019 Local error estimates of the finite element method for an elliptic problem with a Dirac source term. Zbl 1390.65141 Bertoluzza, Silvia; Decoene, Astrid; Lacouture, Loïc; Martin, Sébastien 14 2018 Local error analysis for the Stokes equations with a punctual source term. Zbl 1433.65278 Bertoluzza, Silvia; Decoene, Astrid; Lacouture, Loïc; Martin, Sébastien 4 2018 On the \(m\)-clique free interval subgraphs polytope: polyhedral analysis and applications. Zbl 1418.05103 Hassan, Mohammed-Albarra; Kacem, Imed; Martin, Sébastien; Osman, Izzeldin M. 2 2018 Viscoelastic flows in a rough channel: a multiscale analysis. Zbl 1381.76017 Chupin, Laurent; Martin, Sébastien 4 2017 Unrelated parallel machine scheduling problem with precedence constraints: polyhedral analysis and branch-and-cut. Zbl 1451.90060 Hassan, Mohammed-Albarra; Kacem, Imed; Martin, Sébastien; Osman, Izzeldin M. 1 2016 Modeling of the air flow in the human respiratory system: a numerical stability study. (Modélisation de l’écoulement de l’air dans l’appareil respiratoire humain: étude de stabilité numérique.) Zbl 1307.92058 Fouchet-Incaux, J.; Grandmont, C.; Martin, S. 2 2014 Modeling of the oxygen transfer in the respiratory process. Zbl 1402.92140 Martin, Sébastien; Maury, Bertrand 3 2013 Homogenization of the layer-structured dam problem with isotropic permeability. Zbl 1302.76179 Martin, Sébastien; Vázquez, Carlos 2 2013 Rigorous derivation of the thin film approximation with roughness-induced correctors. Zbl 1256.35077 Chupin, Laurent; Martin, Sébastien 11 2012 Singular limit of a competition-diffusion system with large interspecific interaction. Zbl 1236.35208 Hilhorst, Danielle; Martin, Sébastien; Mimura, Masayasu 5 2012 Microscopic modelling of active bacterial suspensions. Zbl 1229.70023 Decoene, A.; Martin, S.; Maury, B. 11 2011 Simulation of self-propelled chemotactic bacteria in a Stokes flow. Zbl 1427.76290 Decoene, A.; Lorz, A.; Martin, S.; Maury, B.; Tang, M. 1 2010 Convergence of implicit finite volume methods for scalar conservation laws with discontinuous flux function. Zbl 1155.65071 Martin, Sébastien; Vovelle, Julien 8 2008 Influence of multiscale roughness patterns in cavitated flows: Applications to journal bearings. Zbl 1151.76430 Martin, Sébastien 7 2008 Impact of respiratory mechanics model parameters on gas exchange efficiency. Zbl 1156.92310 Martin, S.; Similowski, T.; Straus, C.; Maury, B. 1 2008 Viscoelastic fluids in a thin domain: a mathematical study for a non-Newtonian lubrication problem. Zbl 1190.76137 Bayada, G.; Chupin, L.; Martin, S. 1 2008 First order quasilinear equations with boundary conditions in the \(L^{\infty}\) framework. Zbl 1117.35043 Martin, Sébastien 14 2007 Viscoelastic fluids in a thin domain. Zbl 1153.76015 Bayada, G.; Chupin, L.; Martin, S. 6 2007 Large-time behaviour of the entropy solution of a scalar conservation law with boundary conditions. Zbl 1142.35512 Martin, S.; Vovelle, J. 2 2007 About a generalized Buckley-Leverett equation and lubrication multifluid flow. Zbl 1127.35044 Bayada, Guy; Martin, Sébastien; Vázquez, Carlos 7 2006 Two-scale homogenization of a hydrodynamic Elrod-Adams model. Zbl 1108.35007 Bayada, G.; Martin, S.; Vázquez, C. 8 2005 Homogenization of a nonlocal elastohydrodynamic lubrication problem: a new free boundary model. Zbl 1080.74041 Bayada, G.; Martin, S.; Vázquez, C. 5 2005 all cited Publications top 5 cited Publications all top 5 Cited by 186 Authors 6 Rossi, Elena 4 Chupin, Laurent 4 Ciuperca, Ionel Sorin 4 Martin, Sébastien 4 Pažanin, Igor 4 Suárez-Grau, Francisco Javier 4 Wall, Peter 3 Bayada, Guy 3 Grec, Bérénice 3 Otárola, Enrique 3 Vermolen, Fred J. 2 Arrieta, José M. 2 Bonnivard, Matthieu 2 Bouchut, François 2 Boyaval, Sébastien 2 Chatelin, Robin 2 Colombo, Rinaldo M. 2 Delmotte, Blaise 2 Fabricius, John 2 Fuica, Francisco 2 Garavello, Mauro 2 Goatin, Paola 2 Grandmont, Céline 2 Hilhorst, Danielle 2 Jai, Mohammed 2 Laurino, Federica 2 Lukkassen, Dag 2 Maury, Bertrand 2 Meidell, Annette 2 Michoski, C. E. 2 Peng, Qiyao 2 Plouraboué, Franck 2 Poncet, Philippe 2 Prange, Christophe 2 Quero, Daniel 2 Schmitz, Phillip G. 2 Tello, José Ignacio 2 Vasseur, Alexis F. 2 Villanueva-Pesqueira, Manuel 2 Vovelle, Julien 2 Wen, Huanyao 2 Zunino, Paolo 1 Abreu, Eduardo 1 Aguillon, Nina 1 Allendes, Alejandro 1 Almqvist, Andreas 1 Baffico, Leonardo 1 Bahadoran, Christophe 1 Baumann, Phillip 1 Beckers, Susanne 1 Behrens, Jorn 1 Bejaoui, Eya 1 Ben Belgacem, Faker 1 Bériot, Hadrien 1 Berlyand, Leonid V. 1 Borsche, Raul 1 Boudin, Laurent 1 Bousbih, Hafedh 1 Brenner, Konstantin 1 Bulíček, Miroslav 1 Burczak, Jan 1 Bürger, Raimund 1 Bustos, Abel 1 Calgaro, Caterina 1 Cancès, Clément 1 Černá, Dana 1 Chalons, Christophe 1 Colin, Thierry 1 Colmenares, Eligio 1 Contreras, Luis F. 1 Creusé, Emmanuel 1 Crooks, Elaine C. M. 1 De Filippis, Cristiana 1 Decoene, Astrid 1 dos Santos, Bruna C. 1 Eimer, Matthias 1 Evje, Steinar 1 Fabrèges, Benoît 1 Ferraz, Paola 1 Frank, Spencer 1 Friedrich, Jan 1 Gabard, Gwénaël 1 Galvis, Juan 1 Gao, Yueyuan 1 Gatica, Gabriel N. 1 Gérard-Varet, David 1 Girodroux-Lavigne, Alexandre 1 Gjerde, Ingeborg G. 1 Göttlich, Simone 1 Goudon, Thierry 1 Granero Belinchón, Rafael 1 Gutiérrez, Sergio 1 Gwiazda, Piotr 1 Hao, Wenrui 1 He, Wenming 1 Heltai, Luca 1 Higaki, Mitsuo 1 Hillairet, Matthieu 1 Huang, Jinrui 1 Hume, Lauréne ...and 86 more Authors all top 5 Cited in 51 Serials 9 Journal of Computational Physics 7 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 4 Journal of Differential Equations 3 Computers & Mathematics with Applications 3 Journal of Mathematical Analysis and Applications 3 Journal of Computational and Applied Mathematics 3 Quarterly of Applied Mathematics 3 SIAM Journal on Numerical Analysis 3 European Journal of Applied Mathematics 3 SIAM Journal on Mathematical Analysis 2 Archive for Rational Mechanics and Analysis 2 International Journal of Engineering Science 2 Applied Mathematics and Optimization 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Asymptotic Analysis 2 Journal of Scientific Computing 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Journal of Mathematical Fluid Mechanics 2 European Journal of Mechanics. B. Fluids 2 Nonlinear Analysis. Real World Applications 2 Journal of Hyperbolic Differential Equations 2 Networks and Heterogeneous Media 1 Acta Mechanica 1 Communications in Mathematical Physics 1 Computer Methods in Applied Mechanics and Engineering 1 Journal of Fluid Mechanics 1 Journal of Mathematical Physics 1 Calcolo 1 Mathematics and Computers in Simulation 1 SIAM Journal on Control and Optimization 1 Chinese Annals of Mathematics. Series B 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Applied Numerical Mathematics 1 The Journal of Geometric Analysis 1 Applied Mathematical Modelling 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Scientific Computing 1 Georgian Mathematical Journal 1 Discrete and Continuous Dynamical Systems 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Interdisciplinary Information Sciences (IIS) 1 Discrete and Continuous Dynamical Systems. Series B 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Communications on Pure and Applied Analysis 1 Multiscale Modeling & Simulation 1 Analysis & PDE 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Journal of Theoretical Biology all top 5 Cited in 15 Fields 75 Partial differential equations (35-XX) 57 Fluid mechanics (76-XX) 29 Numerical analysis (65-XX) 18 Biology and other natural sciences (92-XX) 10 Mechanics of deformable solids (74-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 3 Operations research, mathematical programming (90-XX) 2 Probability theory and stochastic processes (60-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) 1 Geophysics (86-XX) 1 Systems theory; control (93-XX) Citations by Year