On some compressible fluid models: Korteweg, lubrication, and shallow water systems D Bresch, B Desjardins, CK Lin Taylor & Francis Group 28 (3-4), 843-868, 2003 | 566 | 2003 |
Existence of global weak solutions for a 2D viscous shallow water equations and convergence to the quasi-geostrophic model D Bresch, B Desjardins Communications in mathematical physics 238, 211-223, 2003 | 519 | 2003 |
On the existence of global weak solutions to the Navier–Stokes equations for viscous compressible and heat conducting fluids D Bresch, B Desjardins Journal de mathématiques pures et appliquées 87 (1), 57-90, 2007 | 296 | 2007 |
A new Savage–Hutter type model for submarine avalanches and generated tsunami ED Fernández-Nieto, F Bouchut, D Bresch, MJC Diaz, A Mangeney Journal of Computational Physics 227 (16), 7720-7754, 2008 | 222 | 2008 |
On the construction of approximate solutions for the 2D viscous shallow water model and for compressible Navier–Stokes models D Bresch, B Desjardins Journal de mathématiques pures et appliquées 86 (4), 362-368, 2006 | 206 | 2006 |
Global existence of weak solutions for compressible Navier–Stokes equations: thermodynamically unstable pressure and anisotropic viscous stress tensor D Bresch, PE Jabin Annals of Mathematics 188 (2), 577-684, 2018 | 162 | 2018 |
A multiscale mathematical model of avascular tumor growth to investigate the therapeutic benefit of anti-invasive agents B Ribba, O Saut, T Colin, D Bresch, E Grenier, JP Boissel Journal of theoretical biology 243 (4), 532-541, 2006 | 152 | 2006 |
A pharmacologically based multiscale mathematical model of angiogenesis and its use in investigating the efficacy of a new cancer treatment strategy F Billy, B Ribba, O Saut, H Morre-Trouilhet, T Colin, D Bresch, JP Boissel, ... Journal of theoretical biology 260 (4), 545-562, 2009 | 134 | 2009 |
Computational modeling of solid tumor growth: the avascular stage D Bresch, T Colin, E Grenier, B Ribba, O Saut SIAM Journal on Scientific Computing 32 (4), 2321-2344, 2010 | 125 | 2010 |
On compressible Navier–Stokes equations with density dependent viscosities in bounded domains D Bresch, B Desjardins, D Gérard-Varet Journal de mathématiques pures et appliquées 87 (2), 227-235, 2007 | 125 | 2007 |
Some diffusive capillary models of Korteweg type D Bresch, B Desjardins Comptes Rendus Mecanique 332 (11), 881-886, 2004 | 125 | 2004 |
Low Mach number limit of viscous polytropic flows: formal asymptotics in the periodic case D Bresch, B Desjardins, E Grenier, CK Lin Studies in Applied Mathematics 109 (2), 125-149, 2002 | 118 | 2002 |
Effect of rugosity on a flow governed by stationary Navier-Stokes equations Y Amirat, D Bresch, J Lemoine, J Simon Quarterly of Applied Mathematics 59 (4), 769-785, 2001 | 92 | 2001 |
On mean-field limits and quantitative estimates with a large class of singular kernels: Application to the Patlak–Keller–Segel model D Bresch, PE Jabin, Z Wang Comptes Rendus Mathematique 357 (9), 708-720, 2019 | 91 | 2019 |
On Navier–Stokes–Korteweg and Euler–Korteweg systems: application to quantum fluids models D Bresch, M Gisclon, I Lacroix-Violet Archive for Rational Mechanics and Analysis 233, 975-1025, 2019 | 90 | 2019 |
Mathematical justification of a shallow water model D Bresch, P Noble | 85 | 2007 |
Mean field limit and quantitative estimates with singular attractive kernels D Bresch, PE Jabin, Z Wang Duke Mathematical Journal 172 (13), 2591-2641, 2023 | 83 | 2023 |
Global weak solutions to a generic two-fluid model D Bresch, B Desjardins, JM Ghidaglia, E Grenier Archive for Rational Mechanics and Analysis 196, 599-629, 2010 | 81 | 2010 |
Regime of validity of soundproof atmospheric flow models R Klein, U Achatz, D Bresch, OM Knio, PK Smolarkiewicz Journal of the Atmospheric Sciences 67 (10), 3226-3237, 2010 | 80 | 2010 |
Recent mathematical results and open problems about shallow water equations D Bresch, B Desjardins, G Métivier Analysis and simulation of fluid dynamics, 15-31, 2007 | 80 | 2007 |