Edit Profile (opens in new tab) Bresch, Didier Co-Author Distance Author ID: bresch.didier Published as: Bresch, Didier; Bresch, D. External Links: MGP Documents Indexed: 132 Publications since 1996, including 5 Additional arXiv Preprints 2 Contributions as Editor Co-Authors: 88 Co-Authors with 129 Joint Publications 1,914 Co-Co-Authors all top 5 Co-Authors 4 single-authored 21 Desjardins, Benoît 17 Lemoine, Jérôme 16 Grenier, Emmanuel 16 Simon, Jacques 11 Jabin, Pierre-Emmanuel 10 Noble, Pascal 7 Colin, Thierry 7 Fernández-Nieto, Enrique Domingo 7 Gisclon, Marguerite 6 Burtea, Cosmin 6 Guillén González, Francisco M. 5 Gérard-Varet, David 5 Ribba, Benjamin 5 Rodríguez-Bellido, Maria Angeles 5 Saut, Olivier 5 Vila, Jean-Paul 4 Métivier, Guy 4 Narbona-Reina, Gladys 4 Sy, Mamadou 4 Zatorska, Ewelina 3 Amirat, Youcef Aït 3 Boissel, Jean-Pierre 3 Colin, Mathieu 3 Couderc, Frédéric 3 Lagoutière, Frédéric 3 Lin, Chikun 3 Masmoudi, Nader 3 Milišić, Vuk 3 Renardy, Michael 3 Vigneaux, Paul 3 Wang, Zhenfu 2 Castro-Díaz, Manuel Jesús 2 Cellier, Nicolas 2 Essoufi, El Hassan 2 Hillairet, Matthieu 2 Huang, Xiangdi 2 Ionescu, Ioan Romeo 2 Koko, Jonas 2 Lacroix-Violet, Ingrid 2 Mangeney, Anne 2 Msheik, Khawla 2 Perrin, Charlotte 2 Richard, Gäel Loïc 2 Ruyer-Quil, Christian 2 Song, Xi 2 Vasseur, Alexis F. 2 Wang, Fei 2 Zabsonré, Jean De Dieu 1 Abbaszadeh, A. 1 Acary-Robert, Céline 1 Alazard, Thomas 1 Billy, Frédérique 1 Bonnetier, Eric 1 Bouchut, François 1 Bouffandeau, B. 1 Calvez, Vincent 1 Choquet, Catherine 1 Chupin, Laurent 1 Danchin, Raphaël 1 di Martino, Bernard 1 Dronne, Marie-Aimée 1 Ducomet, Bernard 1 Duerinckx, Mitia 1 Dutykh, Denys 1 Echevarría, Rosa 1 Ferreiro, Ana M. 1 Flandrois, Jean-Pierre 1 Flori, Fabien 1 Ghidaglia, Jean-Michel 1 Giovangigli, Vincent 1 Hommel, Mark J. 1 Huck, Thierry 1 Kazhikhov, Alexandre V. 1 Kessar, Mouloud 1 Klein, Rupert 1 Lannes, David 1 Li, Jing 1 Lin, Xi 1 Liu, Xin 1 Monnier, Jérôme 1 Morre-Trouilhet, Hélène 1 Mucha, Piotr Bogusław 1 Nečasová, Šárka 1 Novotný, Antonín 1 Olivier, Julien 1 Perepelitsa, Misha 1 Prange, Christophe 1 Sart, Rémy 1 Soler, Juan S. 1 Sollich, Peter 1 Yu, Cheng all top 5 Serials 11 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 Archive for Rational Mechanics and Analysis 5 Journal of Mathematical Fluid Mechanics 3 Communications in Mathematical Physics 3 Journal of Computational Physics 3 Nonlinearity 3 Asymptotic Analysis 3 SIAM Journal on Mathematical Analysis 2 Applicable Analysis 2 Annali dell’Università di Ferrara. Nuova Serie. Sezione VII 2 Indiana University Mathematics Journal 2 Proceedings of the American Mathematical Society 2 Quarterly of Applied Mathematics 2 Studies in Applied Mathematics 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Mathematical and Computer Modelling 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 Methods and Applications of Analysis 2 Discrete and Continuous Dynamical Systems 2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 2 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Journal of Theoretical Biology 2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 International Journal of Non-Linear Mechanics 1 Journal of Fluid Mechanics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Commentationes Mathematicae Universitatis Carolinae 1 Duke Mathematical Journal 1 Journal of Differential Equations 1 Journal of Functional Analysis 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Rendiconti del Seminario Matematico della Università di Padova 1 Applied Mathematics Letters 1 Differential and Integral Equations 1 Communications in Partial Differential Equations 1 Comptes Rendus de l’Académie des Sciences. Série I 1 SIAM Journal on Scientific Computing 1 Electronic Journal of Differential Equations (EJDE) 1 Annales Mathématiques Blaise Pascal 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 European Journal of Mechanics. B. Fluids 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 International Journal of Applied Mathematics and Computer Science 1 CMES. Computer Modeling in Engineering & Sciences 1 Discrete and Continuous Dynamical Systems. Series B 1 Comptes Rendus. Mécanique. Académie des Sciences, Paris 1 AMRX. Applied Mathematics Research eXpress 1 Multiscale Modeling & Simulation 1 Panoramas et Synthèses 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Journal of Physics A: Mathematical and Theoretical 1 Analysis & PDE 1 Communications in Applied and Industrial Mathematics 1 Boletín de la Sociedad Española de Matemática Aplicada. S\(\vec{\text{e}}\)MA 1 Journal de l’École Polytechnique – Mathématiques 1 Séminaire Laurent Schwartz. EDP et Applications all top 5 Fields 109 Fluid mechanics (76-XX) 107 Partial differential equations (35-XX) 28 Geophysics (86-XX) 15 Biology and other natural sciences (92-XX) 7 Numerical analysis (65-XX) 6 Mechanics of deformable solids (74-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 General topology (54-XX) 3 Probability theory and stochastic processes (60-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 General and overarching topics; collections (00-XX) 1 Ordinary differential equations (34-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 105 Publications have been cited 1,956 times in 1,080 Documents Cited by ▼ Year ▼ On some compressible fluid models: Korteweg, lubrication, and shallow water systems. Zbl 1106.76436 Bresch, Didier; Desjardins, Benoît; Lin, Chi-Kun 250 2003 Existence of global weak solutions for a 2D viscous shallow water equations and convergence to the quasi-geostrophic model. Zbl 1037.76012 Bresch, Didier; Desjardins, Benoît 241 2003 On the existence of global weak solutions to the Navier-Stokes equations for viscous compressible and heat conducting fluids. Zbl 1122.35092 Bresch, Didier; Desjardins, Benoît 130 2007 On the construction of approximate solutions for the 2D viscous shallow water model and for compressible Navier-Stokes models. Zbl 1121.35094 Bresch, Didier; Desjardins, Benoît 91 2006 Global existence of weak solutions for compressible Navier-Stokes equations: thermodynamically unstable pressure and anisotropic viscous stress tensor. Zbl 1405.35133 Bresch, Didier; Jabin, Pierre-Emmanuel 71 2018 Some diffusive capillary models of Korteweg type. (Quelques modèles diffusifs capillaires de type Korteweg.) Zbl 1386.76070 Bresch, Didier; Desjardins, Benoît 63 2004 On compressible Navier-Stokes equations with density dependent viscosities in bounded domains. Zbl 1121.35093 Bresch, Didier; Desjardins, Benoît; Gérard-Varet, David 51 2007 Low Mach number limit of viscous polytropic flows: formal asymptotics in the periodic case. Zbl 1114.76347 Bresch, D.; Desjardins, B.; Grenier, E.; Lin, C.-K. 46 2002 Recent mathematical results and open problems about shallow water equations. Zbl 1291.35001 Bresch, Didier; Desjardins, Benoît; Métivier, Guy 39 2007 Global weak solutions to a generic two-fluid model. Zbl 1193.35146 Bresch, D.; Desjardins, B.; Ghidaglia, J.-M.; Grenier, E. 39 2010 Computational modeling of solid tumor growth: the avascular stage. Zbl 1214.92039 Bresch, Didier; Colin, Thierry; Grenier, Emmanuel; Ribba, Benjamin; Saut, Olivier 34 2010 On Navier-Stokes-Korteweg and Euler-Korteweg systems: application to quantum fluids models. Zbl 1433.35217 Bresch, Didier; Gisclon, Marguerite; Lacroix-Violet, Ingrid 34 2019 On the uniqueness of weak solutions of the two-dimensional primitive equations. Zbl 1042.35042 Bresch, D.; Guillén-González, F.; Masmoudi, N.; Rodríguez-Bellido, M. A. 33 2003 Effect of rugosity on a flow governed by stationary Navier-Stokes equations. Zbl 1019.76014 Amirat, Youcef; Bresch, Didier; Lemoine, Jérôme; Simon, Jacques 33 2001 Global weak solutions to one-dimensional non-conservative viscous compressible two-phase system. Zbl 1235.76182 Bresch, Didier; Huang, Xiangdi; Li, Jing 32 2012 Two-velocity hydrodynamics in fluid mechanics. II. Existence of global \(\kappa\)-entropy solutions to the compressible Navier-Stokes systems with degenerate viscosities. Zbl 1359.35125 Bresch, Didier; Desjardins, Benoît; Zatorska, Ewelina 31 2015 Operator splitting and Lagrange multiplier domain decomposition methods for numerical simulation of two coupled Navier-Stokes fluids. Zbl 1119.35346 Bresch, Didier; Koko, Jonas 30 2006 On the two-dimensional hydrostatic Navier-Stokes equations. Zbl 1075.35034 Bresch, Didier; Kazhikhov, Alexandre; Lemoine, Jérôme 29 2004 Finite-energy solutions for compressible two-fluid Stokes system. Zbl 1412.35214 Bresch, Didier; Mucha, Piotr B.; Zatorska, Ewelina 28 2019 Mathematical justification of a shallow water model. Zbl 1158.35401 Bresch, Didier; Noble, Pascal 26 2007 A new Savage-Hutter type model for submarine avalanches and generated tsunami. Zbl 1156.76015 Fernández-Nieto, E. D.; Bouchut, F.; Bresch, D.; Castro Díaz, M. J.; Mangeney, A. 23 2008 On mean-field limits and quantitative estimates with a large class of singular kernels: application to the Patlak-Keller-Segel model. (Limites de champ moyen pour des noyaux singuliers et applications au modèle de Patlak-Keller-Segel.) Zbl 1428.35617 Bresch, Didier; Jabin, Pierre-Emmanuel; Wang, Zhenfu 23 2019 High order multi-scale wall-laws. I: The periodic case. Zbl 1426.76226 Bresch, Didier; Milisic, Vuk 22 2010 Effect of density dependent viscosities on multiphasic incompressible fluid models. Zbl 1220.35114 Bresch, Didier; Essoufi, El Hassan; Sy, Mamadou 20 2007 Shallow-water equations and related topics. Zbl 1193.35147 Bresch, Didier 20 2009 On viscous shallow water equations (Saint-Venant model) and the quasi-geostrophic limit. (Sur un modèle de Saint-Venant visqueux et sa limite quasi-géostrophique.) Zbl 1032.76012 Bresch, Didier; Desjardins, Benoît 20 2002 A pharmacologically based multiscale mathematical model of angiogenesis and its use in investigating the efficacy of a new cancer treatment strategy. Zbl 1402.92050 Billy, Frédérique; Ribba, Benjamin; Saut, Olivier; Morre-Trouilhet, Hélène; Colin, Thierry; Bresch, Didier; Boissel, Jean-Pierre; Grenier, Emmanuel; Flandrois, Jean-Pierre 20 2009 Global existence and uniqueness for the lake equations with vanishing topography: elliptic estimates for degenerate equations. Zbl 1099.35094 Bresch, Didier; Métivier, Guy 19 2006 Rotating fluids in a cylinder. Zbl 1138.76446 Bresch, D.; Desjardins, B.; Gérard-Varet, D. 18 2004 Quasi-neutral limit for a viscous capillary model of plasma. Zbl 1062.35061 Bresch, Didier; Desjardins, Benoît; Ducomet, Bernard 17 2005 Two-velocity hydrodynamics in fluid mechanics. I. Well posedness for zero Mach number systems. Zbl 1359.35126 Bresch, Didier; Giovangigli, Vincent; Zatorska, Ewelina 16 2015 A generalization of the quantum Bohm identity: hyperbolic CFL condition for Euler-Korteweg equations. (Généralisation de l’identité de Bohm quantique : condition CFL hyperbolique pour équations d’Euler-Korteweg.) Zbl 1338.35386 Bresch, Didier; Couderc, Frédéric; Noble, Pascal; Vila, Jean-Paul 16 2016 Mathematical derivation of viscous shallow-water equations with zero surface tension. Zbl 1251.35067 Bresch, Didier; Noble, Pascal 15 2011 A viscoelastic model for avascular tumor growth. Zbl 1185.92059 Bresch, Didier; Colin, Thierry; Grenier, Emmanuel; Ribba, Benjamin; Saut, Olivier 15 2009 Singular limit of a Navier-Stokes system leading to a free/congested zones two-phase model. (Modéle bi-phasique gérant zones libres/zones congestionnées comme limite singulière d’un systéme de Navier-Stokes compressible.) Zbl 1302.35293 Bresch, Didier; Perrin, Charlotte; Zatorska, Ewelina 15 2014 A multiscale mathematical model of avascular tumor growth to investigate the therapeutic benefit of anti-invasive agents. Zbl 1447.92105 Ribba, B.; Saut, O.; Colin, T.; Bresch, D.; Grenier, Emmanuel; Boissel, J. P. 15 2006 Augmented Lagrangian method and compressible visco-plastic flows: applications to shallow dense avalanches. Zbl 1206.35191 Bresch, D.; Fernández-Nieto, E. D.; Ionescu, I. R.; Vigneaux, P. 14 2010 Stability of global weak solutions for the Navier-Stokes equations modelling compressible and heat-conducting fluids. (Stabilité de solutions faibles globales pour les équations de Navier–Stokes compressible avec température.) Zbl 1217.76067 Bresch, Didier; Desjardins, Benoît 13 2006 An example of low Mach (Froude) number effects for compressible flows with nonconstant density (height) limit. Zbl 1080.35065 Bresch, Didier; Gisclon, Marguerite; Lin, Chi-Kun 12 2005 Roughness-induced effect at main order on the Reynolds approximation. Zbl 1197.35190 Bresch, Didier; Choquet, Catherine; Chupin, Laurent; Colin, Thierry; Gisclon, Marguerite 12 2010 An optimization-based domain decomposition method for nonlinear wall laws in coupled systems. Zbl 1185.65223 Bresch, Didier; Koko, Jonas 11 2004 A note on a degenerate elliptic equation with applications for lakes and seas. Zbl 1063.35131 Bresch, Didier; Lemoine, Jerome; Guillen-Gonzalez, Francisco 11 2004 Global weak solutions of PDEs for compressible media: a compactness criterion to cover new physical situations. Zbl 1371.35192 Bresch, Didier; Jabin, Pierre-Emmanuel 11 2017 Well-posedness of two-layer shallow-water flow between two horizontal rigid plates. Zbl 1216.35095 Bresch, Didier; Renardy, Michael 9 2011 Local strong solution for the incompressible Korteweg model. Zbl 1089.35047 Sy, Mamadou; Bresch, Didier; Guillén-González, Francisco; Lemoine, Jérôme; Rodríguez-Bellido, Maria Angeles 9 2006 Global existence of entropy-weak solutions to the compressible Navier-Stokes equations with non-linear density dependent viscosities. Zbl 1490.35299 Bresch, Didier; Vasseur, Alexis F.; Yu, Cheng 9 2022 A multi-fluid compressible system as the limit of weak solutions of the isentropic compressible Navier-Stokes equations. Zbl 1427.76229 Bresch, D.; Huang, X. 9 2011 Derivation of a bilayer model for shallow water equations with viscosity. Numerical validation. Zbl 1232.76008 Narbona-Reina, G.; Zabsonré, J. D. D.; Fernández-Nieto, E. D.; Bresch, D. 8 2009 Relative entropy for compressible Navier-Stokes equations with density dependent viscosities and various applications. Zbl 1387.35445 Bresch, Didier; Noble, Pascal; Vila, Jean-Paul 8 2017 Roughness-induced effects on the quasi-geostrophic model. Zbl 1149.76680 Bresch, Didier; Gérard-Varet, David 8 2005 Note on the derivation of multi-component flow systems. Zbl 1331.35257 Bresch, D.; Hillairet, M. 8 2015 On the existence of solutions for non-stationary third-grade fluids. Zbl 1342.76026 Bresch, Didier; Lemoine, Jérôme 7 1999 Relative entropy for compressible Navier-Stokes equations with density-dependent viscosities and applications. (Entropie relative pour les équations de Navier-Stokes compressibles avec viscosités dépendant de la densité.) Zbl 1336.35274 Bresch, Didier; Noble, Pascal; Vila, Jean-Paul 7 2016 A consistent intermediate wave speed for a well-balanced HLLC solver. Zbl 1151.76017 Fernández-Nieto, Enrique D.; Bresch, Didier; Monnier, Jérôme 7 2008 Anelastic limits for Euler-type systems. Zbl 1204.35117 Bresch, Didier; Métivier, Guy 7 2010 Mathematical justification of a compressible bifluid system with different pressure laws: a continuous approach. Zbl 1505.76090 Bresch, Didier; Burtea, Cosmin; Lagoutière, Frédéric 7 2022 A compressible multifluid system with new physical relaxation terms. Zbl 1421.35241 Bresch, Didier; Hillairet, Matthieu 7 2019 Newtonian limit for weakly viscoelastic fluid flows. Zbl 1391.35324 Bresch, Didier; Prange, Christophe 6 2014 Development of congestion in compressible flow with singular pressure. Zbl 1378.35231 Bresch, Didier; Renardy, Michael 6 2017 Some new Kazhikhov-Smagulov type systems: pollutant spread and low Mach number combustion models. (De nouveaux systèmes de type Kazhikhov-Smagulov: modèles de propagation de polluants et de combustion à faible nombre de Mach.) Zbl 1015.35028 Bresch, Didier; Essoufi, El Hassan; Sy, Mamadou 6 2002 Towards implicit multi-scale wall-laws. (Vers des lois de parois multi-échelle implicites.) Zbl 1166.35305 Bresch, Didier; Milisic, Vuk 6 2008 Some remarks on the derivation of the Sverdrup relation. Zbl 1002.35098 Bresch, Didier; Colin, Thierry 6 2002 Modulated free energy and mean field limit. Zbl 1506.35247 Bresch, Didier; Jabin, Pierre-Emmanuel; Wang, Zhenfu 6 2020 Mathematical modeling of powder-snow avalanche flows. Zbl 1419.76656 Dutykh, Denys; Acary-Robert, Céline; Bresch, Didier 5 2011 Stationary solutions for second grade fluids equations. Zbl 0953.76002 Bresch, Didier; Lemoine, Jérôme 5 1998 A vertical diffusion model for lakes. Zbl 0930.35120 Bresch, Didier; Lemoine, Jérome; Simon, Jacques 5 1999 Asymptotic derivation of a Navier condition for the primitive equations. Zbl 1048.76013 Bresch, D.; Guillén-González, F.; Masmoudi, N.; Rodríguez-Bellido, M. A. 5 2003 Global existence of weak solutions for the anisotropic compressible Stokes system. Zbl 1456.35160 Bresch, Didier; Burtea, C. 5 2020 A corrector for the Sverdrup solution for a domain with islands. Zbl 1096.35112 Bresch, D.; Guillén-Gonzalez, F.; Rodríguez-Bellido, M. A. 4 2004 Derivation of the planetary geostrophic equations. Zbl 1104.76081 Bresch, Didier; Gérard-Varet, David; Grenier, Emmanuel 4 2006 Waves interacting with a partially immersed obstacle in the Boussinesq regime. Zbl 07413798 Bresch, Didier; Lannes, David; Métivier, Guy 4 2021 Quantitative regularity estimates for compressible transport equations. Zbl 1418.35289 Bresch, Didier; Jabin, Pierre-Emmanuel 4 2018 On the existence and uniqueness of a solution for second or third grade fluids. (Sur l’existence et l’unicité de solution des fluides de grade 2 ou 3.) Zbl 0880.76004 Bresch, Didier; Lemoine, Jérôme 3 1997 Motion driven by wind and by Coriolis force in a thin domain. I: Stationary case. (Écoulement engendré par le vent et la force de Coriolis dans un domaine mince. I: Cas stationnaire.) Zbl 0895.76015 Bresch, Didier; Lemoine, Jérôme; Simon, Jacques 3 1997 On the exponential decay for compressible Navier-Stokes-Korteweg equations with a drag term. Zbl 1503.35151 Bresch, D.; Gisclon, M.; Lacroix-Violet, I.; Vasseur, A. 3 2022 Weak solutions for the stationary anisotropic and nonlocal compressible Navier-Stokes system. Zbl 1459.76120 Bresch, Didier; Burtea, C. 3 2021 Kelvin-Helmholtz instability with a free surface. Zbl 1271.76087 Bresch, Didier; Renardy, Michael 3 2013 Oscillatory limits with changing eigenvalues: a formal study. Zbl 1195.35251 Bresch, Didier; Desjardins, Benoît; Grenier, Emmanuel 3 2010 BD entropy and Bernis-Friedman entropy. (BD entropie et entropie de Bernis-Friedman.) Zbl 1406.35262 Bresch, Didier; Colin, Mathieu; Msheik, Khawla; Noble, Pascal; Song, Xi 3 2019 Compression effects in heterogeneous media. (Effets de compression en milieux hétérogènes.) Zbl 1427.35199 Bresch, Didier; Nečasová, Šárka; Perrin, Charlotte 3 2019 Augmented skew-symmetric system for shallow-water system with surface tension allowing large gradient of density. Zbl 07507231 Bresch, D.; Cellier, N.; Couderc, F.; Gisclon, M.; Noble, P.; Richard, G.-L.; Ruyer-Quil, C.; Vila, J.-P. 3 2020 On a shallow water model for non-Newtonian fluids. Zbl 1431.76020 Narbona-Reina, G.; Bresch, D. 2 2010 Existence of semi-periodic solutions of steady Navier-Stokes equations in a half space with an exponential decay at infinity. Zbl 0940.35158 Amirat, Youcef; Bresch, Didier; Lemoine, Jérôme; Simon, Jacques 2 1999 Nonstationary models for shallow lakes. Zbl 0953.35116 Bresch, Didier; Lemoine, Jérôme; Simon, Jacques 2 2000 Motion driven by wind and by Coriolis force in a thin domain: II. Non-stationary case. (Écoulement engendré par le vent et la force de Coriolis dans un domaine mince: II. Cas d’évolution.) Zbl 0918.35105 Bresch, Didier; Lemoine, Jérôme; Simon, Jacques 2 1998 On the existence of solutions for non-stationary second-grade fluids. Zbl 0942.35146 Bresch, Didier; Lemoine, Jérôme 2 1998 On the effect of friction on wind driven shallow lakes. Zbl 1007.35053 Bresch, Didier; Simon, Jacques 2 2001 A priori convergence estimates for a rough Poisson-Dirichlet problem with natural vertical boundary conditions. Zbl 1422.65351 Bonnetier, Eric; Bresch, Didier; Milišić, Vuk 2 2010 Quantitative estimates for advective equation with degenerate anelastic constraint. Zbl 1448.35041 Bresch, Didier; Jabin, Pierre-Emmanuel 2 2018 Compressible Navier-Stokes equations with heterogeneous pressure laws. Zbl 1472.35267 Bresch, Didier; Jabin, Pierre-Emmanuel; Wang, Fei 2 2021 Western boundary currents versus vanishing depth. Zbl 1124.35061 Bresch, Didier; Simon, Jacques 1 2003 A direct asymptotic analysis on a nonlinear model with thin layers. Zbl 1232.74010 Bresch, Didier 1 2003 High order finite volume methods applied to sediment transport and submarine avalanches. Zbl 1388.76167 Bresch, D.; Castro Díaz, M. J.; Fernández-Nieto, E. D.; Ferreiro, A. M.; Mangeney, A. 1 2008 On bounds of the drag for Stokes flow around a body without thickness. Zbl 1042.76516 Bresch, Didier 1 1997 Modelization of shallow lakes and seas. Zbl 1100.86500 Bresch, D.; Lemoine, J.; Simon, J. 1 2000 On the normal variations of a domain. (Sur les variations normales d’un domaine.) Zbl 0907.49021 Bresch, D.; Simon, J. 1 1998 Singular ordinary differential equations homogeneous of degree 0 near a codimension 2 set. Zbl 1286.37072 Bresch, D.; Desjardins, B.; Grenier, E. 1 2012 Instability results related to compressible Korteweg system. Zbl 1179.35281 Bresch, Didier; Desjardins, Benoît; Gisclon, Marguerite; Sart, Rémy 1 2008 Stationary models of lakes and seas. (Modèles stationnaires de lacs et mers.) Zbl 0926.35112 Bresch, Didier; Simon, Jacques 1 1998 Thermohaline circulation and geostrophic planetary equation: physical, numerical and mathematical properties. (Circulation thermohaline et équations planétaires géostrophiques: propriétés physiques, numériques et mathématiques.) Zbl 1125.86304 Bresch, Didier; Huck, Thierry; Sy, Mamadou 1 2002 Global existence of entropy-weak solutions to the compressible Navier-Stokes equations with non-linear density dependent viscosities. Zbl 1490.35299 Bresch, Didier; Vasseur, Alexis F.; Yu, Cheng 9 2022 Mathematical justification of a compressible bifluid system with different pressure laws: a continuous approach. Zbl 1505.76090 Bresch, Didier; Burtea, Cosmin; Lagoutière, Frédéric 7 2022 On the exponential decay for compressible Navier-Stokes-Korteweg equations with a drag term. Zbl 1503.35151 Bresch, D.; Gisclon, M.; Lacroix-Violet, I.; Vasseur, A. 3 2022 Waves interacting with a partially immersed obstacle in the Boussinesq regime. Zbl 07413798 Bresch, Didier; Lannes, David; Métivier, Guy 4 2021 Weak solutions for the stationary anisotropic and nonlocal compressible Navier-Stokes system. Zbl 1459.76120 Bresch, Didier; Burtea, C. 3 2021 Compressible Navier-Stokes equations with heterogeneous pressure laws. Zbl 1472.35267 Bresch, Didier; Jabin, Pierre-Emmanuel; Wang, Fei 2 2021 Modulated free energy and mean field limit. Zbl 1506.35247 Bresch, Didier; Jabin, Pierre-Emmanuel; Wang, Zhenfu 6 2020 Global existence of weak solutions for the anisotropic compressible Stokes system. Zbl 1456.35160 Bresch, Didier; Burtea, C. 5 2020 Augmented skew-symmetric system for shallow-water system with surface tension allowing large gradient of density. Zbl 07507231 Bresch, D.; Cellier, N.; Couderc, F.; Gisclon, M.; Noble, P.; Richard, G.-L.; Ruyer-Quil, C.; Vila, J.-P. 3 2020 On Navier-Stokes-Korteweg and Euler-Korteweg systems: application to quantum fluids models. Zbl 1433.35217 Bresch, Didier; Gisclon, Marguerite; Lacroix-Violet, Ingrid 34 2019 Finite-energy solutions for compressible two-fluid Stokes system. Zbl 1412.35214 Bresch, Didier; Mucha, Piotr B.; Zatorska, Ewelina 28 2019 On mean-field limits and quantitative estimates with a large class of singular kernels: application to the Patlak-Keller-Segel model. (Limites de champ moyen pour des noyaux singuliers et applications au modèle de Patlak-Keller-Segel.) Zbl 1428.35617 Bresch, Didier; Jabin, Pierre-Emmanuel; Wang, Zhenfu 23 2019 A compressible multifluid system with new physical relaxation terms. Zbl 1421.35241 Bresch, Didier; Hillairet, Matthieu 7 2019 BD entropy and Bernis-Friedman entropy. (BD entropie et entropie de Bernis-Friedman.) Zbl 1406.35262 Bresch, Didier; Colin, Mathieu; Msheik, Khawla; Noble, Pascal; Song, Xi 3 2019 Compression effects in heterogeneous media. (Effets de compression en milieux hétérogènes.) Zbl 1427.35199 Bresch, Didier; Nečasová, Šárka; Perrin, Charlotte 3 2019 Global existence of weak solutions for compressible Navier-Stokes equations: thermodynamically unstable pressure and anisotropic viscous stress tensor. Zbl 1405.35133 Bresch, Didier; Jabin, Pierre-Emmanuel 71 2018 Quantitative regularity estimates for compressible transport equations. Zbl 1418.35289 Bresch, Didier; Jabin, Pierre-Emmanuel 4 2018 Quantitative estimates for advective equation with degenerate anelastic constraint. Zbl 1448.35041 Bresch, Didier; Jabin, Pierre-Emmanuel 2 2018 Lubrication theory and viscous shallow-water equations. Zbl 1414.76018 Bresch, Didier; Colin, Mathieu; Lin, Xi; Noble, Pascal 1 2018 Global weak solutions of PDEs for compressible media: a compactness criterion to cover new physical situations. Zbl 1371.35192 Bresch, Didier; Jabin, Pierre-Emmanuel 11 2017 Relative entropy for compressible Navier-Stokes equations with density dependent viscosities and various applications. Zbl 1387.35445 Bresch, Didier; Noble, Pascal; Vila, Jean-Paul 8 2017 Development of congestion in compressible flow with singular pressure. Zbl 1378.35231 Bresch, Didier; Renardy, Michael 6 2017 Aging and linear response in the Hébraud-Lequeux model for amorphous rheology. Zbl 1368.82022 Sollich, Peter; Olivier, Julien; Bresch, Didier 1 2017 A generalization of the quantum Bohm identity: hyperbolic CFL condition for Euler-Korteweg equations. (Généralisation de l’identité de Bohm quantique : condition CFL hyperbolique pour équations d’Euler-Korteweg.) Zbl 1338.35386 Bresch, Didier; Couderc, Frédéric; Noble, Pascal; Vila, Jean-Paul 16 2016 Relative entropy for compressible Navier-Stokes equations with density-dependent viscosities and applications. (Entropie relative pour les équations de Navier-Stokes compressibles avec viscosités dépendant de la densité.) Zbl 1336.35274 Bresch, Didier; Noble, Pascal; Vila, Jean-Paul 7 2016 Two-velocity hydrodynamics in fluid mechanics. II. Existence of global \(\kappa\)-entropy solutions to the compressible Navier-Stokes systems with degenerate viscosities. Zbl 1359.35125 Bresch, Didier; Desjardins, Benoît; Zatorska, Ewelina 31 2015 Two-velocity hydrodynamics in fluid mechanics. I. Well posedness for zero Mach number systems. Zbl 1359.35126 Bresch, Didier; Giovangigli, Vincent; Zatorska, Ewelina 16 2015 Note on the derivation of multi-component flow systems. Zbl 1331.35257 Bresch, D.; Hillairet, M. 8 2015 Singular limit of a Navier-Stokes system leading to a free/congested zones two-phase model. (Modéle bi-phasique gérant zones libres/zones congestionnées comme limite singulière d’un systéme de Navier-Stokes compressible.) Zbl 1302.35293 Bresch, Didier; Perrin, Charlotte; Zatorska, Ewelina 15 2014 Newtonian limit for weakly viscoelastic fluid flows. Zbl 1391.35324 Bresch, Didier; Prange, Christophe 6 2014 Kelvin-Helmholtz instability with a free surface. Zbl 1271.76087 Bresch, Didier; Renardy, Michael 3 2013 Global weak solutions to one-dimensional non-conservative viscous compressible two-phase system. Zbl 1235.76182 Bresch, Didier; Huang, Xiangdi; Li, Jing 32 2012 Singular ordinary differential equations homogeneous of degree 0 near a codimension 2 set. Zbl 1286.37072 Bresch, D.; Desjardins, B.; Grenier, E. 1 2012 Mathematical derivation of viscous shallow-water equations with zero surface tension. Zbl 1251.35067 Bresch, Didier; Noble, Pascal 15 2011 Well-posedness of two-layer shallow-water flow between two horizontal rigid plates. Zbl 1216.35095 Bresch, Didier; Renardy, Michael 9 2011 A multi-fluid compressible system as the limit of weak solutions of the isentropic compressible Navier-Stokes equations. Zbl 1427.76229 Bresch, D.; Huang, X. 9 2011 Mathematical modeling of powder-snow avalanche flows. Zbl 1419.76656 Dutykh, Denys; Acary-Robert, Céline; Bresch, Didier 5 2011 Global weak solutions to a generic two-fluid model. Zbl 1193.35146 Bresch, D.; Desjardins, B.; Ghidaglia, J.-M.; Grenier, E. 39 2010 Computational modeling of solid tumor growth: the avascular stage. Zbl 1214.92039 Bresch, Didier; Colin, Thierry; Grenier, Emmanuel; Ribba, Benjamin; Saut, Olivier 34 2010 High order multi-scale wall-laws. I: The periodic case. Zbl 1426.76226 Bresch, Didier; Milisic, Vuk 22 2010 Augmented Lagrangian method and compressible visco-plastic flows: applications to shallow dense avalanches. Zbl 1206.35191 Bresch, D.; Fernández-Nieto, E. D.; Ionescu, I. R.; Vigneaux, P. 14 2010 Roughness-induced effect at main order on the Reynolds approximation. Zbl 1197.35190 Bresch, Didier; Choquet, Catherine; Chupin, Laurent; Colin, Thierry; Gisclon, Marguerite 12 2010 Anelastic limits for Euler-type systems. Zbl 1204.35117 Bresch, Didier; Métivier, Guy 7 2010 Oscillatory limits with changing eigenvalues: a formal study. Zbl 1195.35251 Bresch, Didier; Desjardins, Benoît; Grenier, Emmanuel 3 2010 On a shallow water model for non-Newtonian fluids. Zbl 1431.76020 Narbona-Reina, G.; Bresch, D. 2 2010 A priori convergence estimates for a rough Poisson-Dirichlet problem with natural vertical boundary conditions. Zbl 1422.65351 Bonnetier, Eric; Bresch, Didier; Milišić, Vuk 2 2010 A phenomenological model of the growth of the necrotic area in ischemic stroke. Zbl 1198.37124 Grenier, E.; Bresch, D.; Dronne, M.-A.; Hommel, M.; Boissel, J.-P. 1 2010 Shallow-water equations and related topics. Zbl 1193.35147 Bresch, Didier 20 2009 A pharmacologically based multiscale mathematical model of angiogenesis and its use in investigating the efficacy of a new cancer treatment strategy. Zbl 1402.92050 Billy, Frédérique; Ribba, Benjamin; Saut, Olivier; Morre-Trouilhet, Hélène; Colin, Thierry; Bresch, Didier; Boissel, Jean-Pierre; Grenier, Emmanuel; Flandrois, Jean-Pierre 20 2009 A viscoelastic model for avascular tumor growth. Zbl 1185.92059 Bresch, Didier; Colin, Thierry; Grenier, Emmanuel; Ribba, Benjamin; Saut, Olivier 15 2009 Derivation of a bilayer model for shallow water equations with viscosity. Numerical validation. Zbl 1232.76008 Narbona-Reina, G.; Zabsonré, J. D. D.; Fernández-Nieto, E. D.; Bresch, D. 8 2009 A new Savage-Hutter type model for submarine avalanches and generated tsunami. Zbl 1156.76015 Fernández-Nieto, E. D.; Bouchut, F.; Bresch, D.; Castro Díaz, M. J.; Mangeney, A. 23 2008 A consistent intermediate wave speed for a well-balanced HLLC solver. Zbl 1151.76017 Fernández-Nieto, Enrique D.; Bresch, Didier; Monnier, Jérôme 7 2008 Towards implicit multi-scale wall-laws. (Vers des lois de parois multi-échelle implicites.) Zbl 1166.35305 Bresch, Didier; Milisic, Vuk 6 2008 High order finite volume methods applied to sediment transport and submarine avalanches. Zbl 1388.76167 Bresch, D.; Castro Díaz, M. J.; Fernández-Nieto, E. D.; Ferreiro, A. M.; Mangeney, A. 1 2008 Instability results related to compressible Korteweg system. Zbl 1179.35281 Bresch, Didier; Desjardins, Benoît; Gisclon, Marguerite; Sart, Rémy 1 2008 On the existence of global weak solutions to the Navier-Stokes equations for viscous compressible and heat conducting fluids. Zbl 1122.35092 Bresch, Didier; Desjardins, Benoît 130 2007 On compressible Navier-Stokes equations with density dependent viscosities in bounded domains. Zbl 1121.35093 Bresch, Didier; Desjardins, Benoît; Gérard-Varet, David 51 2007 Recent mathematical results and open problems about shallow water equations. Zbl 1291.35001 Bresch, Didier; Desjardins, Benoît; Métivier, Guy 39 2007 Mathematical justification of a shallow water model. Zbl 1158.35401 Bresch, Didier; Noble, Pascal 26 2007 Effect of density dependent viscosities on multiphasic incompressible fluid models. Zbl 1220.35114 Bresch, Didier; Essoufi, El Hassan; Sy, Mamadou 20 2007 Some order-parameter methods with applications to cancer modelling. (Quelques méthodes de paramètre d’ordre avec applications à la modélisation de processus cancéreux.) Zbl 1359.92047 Bresch, D.; Colin, Th.; Grenier, E.; Ribba, B.; Saut, O.; Singh, O.; Verdier, C. 1 2007 On the construction of approximate solutions for the 2D viscous shallow water model and for compressible Navier-Stokes models. Zbl 1121.35094 Bresch, Didier; Desjardins, Benoît 91 2006 Operator splitting and Lagrange multiplier domain decomposition methods for numerical simulation of two coupled Navier-Stokes fluids. Zbl 1119.35346 Bresch, Didier; Koko, Jonas 30 2006 Global existence and uniqueness for the lake equations with vanishing topography: elliptic estimates for degenerate equations. Zbl 1099.35094 Bresch, Didier; Métivier, Guy 19 2006 A multiscale mathematical model of avascular tumor growth to investigate the therapeutic benefit of anti-invasive agents. Zbl 1447.92105 Ribba, B.; Saut, O.; Colin, T.; Bresch, D.; Grenier, Emmanuel; Boissel, J. P. 15 2006 Stability of global weak solutions for the Navier-Stokes equations modelling compressible and heat-conducting fluids. (Stabilité de solutions faibles globales pour les équations de Navier–Stokes compressible avec température.) Zbl 1217.76067 Bresch, Didier; Desjardins, Benoît 13 2006 Local strong solution for the incompressible Korteweg model. Zbl 1089.35047 Sy, Mamadou; Bresch, Didier; Guillén-González, Francisco; Lemoine, Jérôme; Rodríguez-Bellido, Maria Angeles 9 2006 Derivation of the planetary geostrophic equations. Zbl 1104.76081 Bresch, Didier; Gérard-Varet, David; Grenier, Emmanuel 4 2006 Quasi-neutral limit for a viscous capillary model of plasma. Zbl 1062.35061 Bresch, Didier; Desjardins, Benoît; Ducomet, Bernard 17 2005 An example of low Mach (Froude) number effects for compressible flows with nonconstant density (height) limit. Zbl 1080.35065 Bresch, Didier; Gisclon, Marguerite; Lin, Chi-Kun 12 2005 Roughness-induced effects on the quasi-geostrophic model. Zbl 1149.76680 Bresch, Didier; Gérard-Varet, David 8 2005 Some diffusive capillary models of Korteweg type. (Quelques modèles diffusifs capillaires de type Korteweg.) Zbl 1386.76070 Bresch, Didier; Desjardins, Benoît 63 2004 On the two-dimensional hydrostatic Navier-Stokes equations. Zbl 1075.35034 Bresch, Didier; Kazhikhov, Alexandre; Lemoine, Jérôme 29 2004 Rotating fluids in a cylinder. Zbl 1138.76446 Bresch, D.; Desjardins, B.; Gérard-Varet, D. 18 2004 An optimization-based domain decomposition method for nonlinear wall laws in coupled systems. Zbl 1185.65223 Bresch, Didier; Koko, Jonas 11 2004 A note on a degenerate elliptic equation with applications for lakes and seas. Zbl 1063.35131 Bresch, Didier; Lemoine, Jerome; Guillen-Gonzalez, Francisco 11 2004 A corrector for the Sverdrup solution for a domain with islands. Zbl 1096.35112 Bresch, D.; Guillén-Gonzalez, F.; Rodríguez-Bellido, M. A. 4 2004 On some compressible fluid models: Korteweg, lubrication, and shallow water systems. Zbl 1106.76436 Bresch, Didier; Desjardins, Benoît; Lin, Chi-Kun 250 2003 Existence of global weak solutions for a 2D viscous shallow water equations and convergence to the quasi-geostrophic model. Zbl 1037.76012 Bresch, Didier; Desjardins, Benoît 241 2003 On the uniqueness of weak solutions of the two-dimensional primitive equations. Zbl 1042.35042 Bresch, D.; Guillén-González, F.; Masmoudi, N.; Rodríguez-Bellido, M. A. 33 2003 Asymptotic derivation of a Navier condition for the primitive equations. Zbl 1048.76013 Bresch, D.; Guillén-González, F.; Masmoudi, N.; Rodríguez-Bellido, M. A. 5 2003 Western boundary currents versus vanishing depth. Zbl 1124.35061 Bresch, Didier; Simon, Jacques 1 2003 A direct asymptotic analysis on a nonlinear model with thin layers. Zbl 1232.74010 Bresch, Didier 1 2003 Low Mach number limit of viscous polytropic flows: formal asymptotics in the periodic case. Zbl 1114.76347 Bresch, D.; Desjardins, B.; Grenier, E.; Lin, C.-K. 46 2002 On viscous shallow water equations (Saint-Venant model) and the quasi-geostrophic limit. (Sur un modèle de Saint-Venant visqueux et sa limite quasi-géostrophique.) Zbl 1032.76012 Bresch, Didier; Desjardins, Benoît 20 2002 Some new Kazhikhov-Smagulov type systems: pollutant spread and low Mach number combustion models. (De nouveaux systèmes de type Kazhikhov-Smagulov: modèles de propagation de polluants et de combustion à faible nombre de Mach.) Zbl 1015.35028 Bresch, Didier; Essoufi, El Hassan; Sy, Mamadou 6 2002 Some remarks on the derivation of the Sverdrup relation. Zbl 1002.35098 Bresch, Didier; Colin, Thierry 6 2002 Thermohaline circulation and geostrophic planetary equation: physical, numerical and mathematical properties. (Circulation thermohaline et équations planétaires géostrophiques: propriétés physiques, numériques et mathématiques.) Zbl 1125.86304 Bresch, Didier; Huck, Thierry; Sy, Mamadou 1 2002 Effect of rugosity on a flow governed by stationary Navier-Stokes equations. Zbl 1019.76014 Amirat, Youcef; Bresch, Didier; Lemoine, Jérôme; Simon, Jacques 33 2001 On the effect of friction on wind driven shallow lakes. Zbl 1007.35053 Bresch, Didier; Simon, Jacques 2 2001 Nonstationary models for shallow lakes. Zbl 0953.35116 Bresch, Didier; Lemoine, Jérôme; Simon, Jacques 2 2000 Modelization of shallow lakes and seas. Zbl 1100.86500 Bresch, D.; Lemoine, J.; Simon, J. 1 2000 On the existence of solutions for non-stationary third-grade fluids. Zbl 1342.76026 Bresch, Didier; Lemoine, Jérôme 7 1999 A vertical diffusion model for lakes. Zbl 0930.35120 Bresch, Didier; Lemoine, Jérome; Simon, Jacques 5 1999 Existence of semi-periodic solutions of steady Navier-Stokes equations in a half space with an exponential decay at infinity. Zbl 0940.35158 Amirat, Youcef; Bresch, Didier; Lemoine, Jérôme; Simon, Jacques 2 1999 Stationary solutions for second grade fluids equations. Zbl 0953.76002 Bresch, Didier; Lemoine, Jérôme 5 1998 Motion driven by wind and by Coriolis force in a thin domain: II. Non-stationary case. (Écoulement engendré par le vent et la force de Coriolis dans un domaine mince: II. Cas d’évolution.) Zbl 0918.35105 Bresch, Didier; Lemoine, Jérôme; Simon, Jacques 2 1998 On the existence of solutions for non-stationary second-grade fluids. Zbl 0942.35146 Bresch, Didier; Lemoine, Jérôme 2 1998 On the normal variations of a domain. (Sur les variations normales d’un domaine.) Zbl 0907.49021 Bresch, D.; Simon, J. 1 1998 ...and 5 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,223 Authors 54 Bresch, Didier 27 Feireisl, Eduard 24 Novotný, Antonín 20 Zatorska, Ewelina 19 Nečasová, Šárka 18 Fernández-Nieto, Enrique Domingo 18 Vasseur, Alexis F. 18 Wen, Huanyao 18 Zhu, Changjiang 16 Jiu, Quansen 15 Guo, Zhenhua 15 Yao, Lei 14 Haspot, Boris 14 Lian, Ruxu 14 Tang, Tong 14 Zhu, Shengguo 13 Chen, Zhengzheng 13 Desjardins, Benoît 13 Gérard-Varet, David 13 Kwon, Young-Sam 13 Li, Yeping 13 Perthame, Benoît 13 Xin, Zhouping 12 Li, Jinkai 11 Fanelli, Francesco 11 Giovangigli, Vincent 11 Li, Hailiang 11 Titi, Edriss Saleh 11 Vila, Jean-Paul 10 Burtea, Cosmin 10 Guo, Boling 10 Yang, Jianwei 9 Gisclon, Marguerite 9 Jabin, Pierre-Emmanuel 9 Ju, Qiangchang 9 Li, Fucai 9 Mangeney, Anne 9 Mucha, Piotr Bogusław 9 Noble, Pascal 9 Suárez-Grau, Francisco Javier 9 Tan, Zhong 8 Antonelli, Paolo 8 Bouchut, François 8 Colin, Thierry 8 Dou, Changsheng 8 Evje, Steinar 8 Gao, Hongjun 8 Koko, Jonas 8 Li, Zilai 8 Pažanin, Igor 8 Pokorný, Milan 8 Sun, Yongzhong 7 Grenier, Emmanuel 7 Hillairet, Matthieu 7 Jiang, Song 7 Labovsky, Alexander E. 7 Lannes, David 7 Narbona-Reina, Gladys 7 Ou, Yaobin 7 Saut, Olivier 7 Spirito, Stefano 7 Wang, Yi 7 Zhai, Xiaoping 7 Zhang, Ting 6 Aggul, Mustafa 6 Amirat, Youcef Aït 6 Cao, Chongsheng 6 Dalibard, Anne-Laure 6 Ducomet, Bernard 6 He, Lin 6 Marušić-Paloka, Eduard 6 Perrin, Charlotte 6 Shang, Yueqiang 6 Vauchelet, Nicolas 6 Wang, Wenjun 6 Yu, Cheng 5 Bucur, Dorin 5 Calgaro, Caterina 5 Cavalheiro, Albo Carlos 5 Chaudhuri, Nilasis 5 Degond, Pierre 5 Donatelli, Donatella 5 Fang, Daoyuan 5 Guillén González, Francisco M. 5 Jüngel, Ansgar 5 Kang, Moon-Jin 5 Li, Yachun 5 Li, Yang 5 Li, Yue 5 Liang, Zhilei 5 Liu, Jian 5 Luo, Zhen 5 Marcati, Pierangelo 5 Masmoudi, Nader 5 Poignard, Clair 5 Ruyer-Quil, Christian 5 Shan, Li 5 Shi, Dongyang 5 Simon, Jacques 5 Wang, Fengchao ...and 1,123 more Authors all top 5 Cited in 195 Serials 63 Journal of Differential Equations 51 Journal of Mathematical Fluid Mechanics 47 Journal of Mathematical Analysis and Applications 46 Archive for Rational Mechanics and Analysis 35 SIAM Journal on Mathematical Analysis 31 Journal de Mathématiques Pures et Appliquées. 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