Didier Bresch

Applied Mathematics · 2003–2019

A researcher in the Science corpus: 7 papers; trusts 19 researchers and is trusted by 20 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 35 citations into it; #822 of 7,620 by trust here, #1,077 by citations
• Mathematical Physics — 19 citations into it; #1,754 of 8,562 by trust here, #2,682 by citations
• Computational Mechanics — 18 citations into it; #1,646 of 10,001 by trust here, #3,126 by citations
• Control and Systems Engineering — 15 citations into it; #2,456 of 8,257 by trust here, #4,722 by citations

Whom Didier Bresch trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Eduard Feireisl
2. B. Desjardins
3. Pierre-Emmanuel Jabin
4. Antonín Novotný
5. Helmut Abels
6. Jean-Frédéric Gerbeau
7. Francis Comets
8. Jean Bourgain
9. Benoit Perthame
10. François Bouchut

Who trusts Didier Bresch overall

1. Ewelina Zatorska
2. Alexis Vasseur
3. Antoine Mellet
4. B. Desjardins
5. Hai-Liang Li
6. Boris Haspot
7. Cheng Yu
8. Giovanni S. Alberti
9. Fabien Marche
10. Zhouping Xin

Papers from Didier Bresch's perspective

Ordered by how strongly the researchers Didier Bresch trusts endorse each paper. Same corpus, a different order for every researcher.

1. Dynamics of Viscous Compressible Fluids
2. On the existence of global weak solutions to the Navier–Stokes equations for viscous compressible and heat conducting fluids
3. On the motion of a viscous, compressible, and heat conducting fluid
4. Transport equation and Cauchy problem for BV vector fields
5. On two-dimensional Hamiltonian transport equations with continuous coefficients (Differential and Integral Equations)
6. Fourier Analysis and Nonlinear Partial Differential Equations
7. Derivation of a new two-dimensional viscous shallow water model with varying topography, bottom friction and capillary effects
8. Navier-Stokes Equations (Fundamentals of Ship Hydrodynamics)
9. Existence of Global Weak Solutions for a 2D Viscous Shallow Water Equations and Convergence to the Quasi-Geostrophic Model
10. Renormalized Solutions to the Vlasov Equation with Coefficients of Bounded Variation

Their papers

• On the uniqueness of weak solutions of the two-dimensional primitive equations (2003) — 67 citations
• On Some Compressible Fluid Models: Korteweg, Lubrication, and Shallow Water Systems (2003) — 536 citations
• On mean-field limits and quantitative estimates with a large class of singular kernels: Application to the Patlak–Keller–Segel model (2019) — 91 citations
• Global existence of weak solutions for compressible Navier--Stokes equations: Thermodynamically unstable pressure and anisotropic viscous stress tensor (2015) — 171 citations
• On the existence of global weak solutions to the Navier–Stokes equations for viscous compressible and heat conducting fluids (2007) — 295 citations
• On the construction of approximate solutions for the 2D viscous shallow water model and for compressible Navier-Stokes models (2006) — 206 citations
• Existence of Global Weak Solutions for a 2D Viscous Shallow Water Equations and Convergence to the Quasi-Geostrophic Model (2003) — 526 citations