Antoine Mellet

Applied Mathematics · 2007–2012

A researcher in the Science corpus: 6 papers; trusts 9 researchers and is trusted by 16 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 15 citations into it; #1,749 of 7,620 by trust here, #2,480 by citations
• Computational Mechanics — 9 citations into it; #3,519 of 10,001 by trust here, #6,877 by citations
• Mathematical Physics — 5 citations into it; #3,747 of 8,562 by trust here, #4,500 by citations

Whom Antoine Mellet trusts overall

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

1. Didier Bresch
2. Yann Brenier
3. José Antonio Carrillo
4. Eduard Feireisl
5. B. Desjardins
6. François Golse
7. Thierry Goudon
8. Laure Saint-Raymond
9. Alexis Vasseur

Who trusts Antoine Mellet overall

1. Alexis Vasseur
2. Renjun Duan
3. Moon-Jin Kang
4. Alexander Lorz
5. Hai-Liang Li
6. Ewelina Zatorska
7. Peter A. Markowich
8. Juan Luis V'azquez
9. Cheng Yu
10. Sébastien Motsch

Papers from Antoine Mellet's perspective

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

1. On the existence of global weak solutions to the Navier–Stokes equations for viscous compressible and heat conducting fluids
2. Existence of Global Weak Solutions for a 2D Viscous Shallow Water Equations and Convergence to the Quasi-Geostrophic Model
3. convergence of the vlasov-poisson system to the incompressible euler equations
4. Emergent Behavior in Flocks
5. On compactness of solutions to the compressible isentropic Navier-Stokes equations when the density is not square integrable
6. The Navier–Stokes limit of the Boltzmann equation for bounded collision kernels
7. On the Existence of Globally Defined Weak Solutions to the Navier—Stokes Equations
8. GLOBAL WEAK SOLUTIONS FOR A VLASOV–FOKKER–PLANCK/NAVIER–STOKES SYSTEM OF EQUATIONS
9. On Some Properties of Kinetic and Hydrodynamic Equations for Inelastic Interactions
10. Dynamics of Viscous Compressible Fluids

Their papers

• Fractional Diffusion Limit for Collisional Kinetic Equations (2008) — 200 citations
• Generalized fronts for one-dimensional reaction-diffusion equations (2009) — 55 citations
• Hydrodynamic limit of the kinetic Cucker–Smale flocking model (2012) — 135 citations
• Asymptotic Analysis for a Vlasov-Fokker-Planck/ Compressible Navier-Stokes System of Equations (2008) — 185 citations
• GLOBAL WEAK SOLUTIONS FOR A VLASOV–FOKKER–PLANCK/NAVIER–STOKES SYSTEM OF EQUATIONS (2007) — 150 citations
• On the Barotropic Compressible Navier–Stokes Equations (2007) — 314 citations