Vasseur, Alexis F.

1. Time-asymptotic stability of composite waves of viscous shock and rarefaction for barotropic Navier-Stokes equations
   2021/04/14 by Moon-Jin Kang, Kang, Moon-Jin, Alexis Vasseur +3 · 9 citations
   Mathematics · Engineering · #Navier-Stokes equation solutions #Advanced Mathematical Physics Problems #Computational Fluid Dynamics and Aerodynamics
2. L²-contraction for shock waves of scalar viscous conservation laws
   2014/06/26 by Kang, Moon-Jin, Vasseur, Alexis F. · 4 citations
   #Analysis of PDEs (math.AP) #FOS: Mathematics
3. Asymptotic analysis of Vlasov-type equations under strong local alignment regime
   2014/12/09 by Moon-Jin Kang, Alexis Vasseur, Kang, Moon-Jin +1 · 3 citations
   Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Analysis of PDEs (math.AP) #FOS: Mathematics #Gas Dynamics and Kinetic Theory #Mathematical Biology Tumor Growth
4. From Navier-Stokes to BV solutions of the barotropic Euler equations
   2024/01/17 by Geng Chen, Chen, Geng, Moon-Jin Kang +3 · 4 citations
   Earth and Planetary Sciences · Engineering · Mathematics · #Analysis of PDEs (math.AP) #Aquatic and Environmental Studies #Computational Fluid Dynamics and Aerodynamics #FOS: Mathematics #Navier-Stokes equation solutions
5. Estimates on fractional higher derivatives of weak solutions for the Navier-Stokes equations
   2011/05/08 by Kyudong Choi, Alexis Vasseur, Choi, Kyudong +1 · 1 citation
   Mathematics · Engineering · #Navier-Stokes equation solutions #Advanced Mathematical Physics Problems #Stability and Controllability of Differential Equations
6. Global ill-posedness for a dense set of initial data to the Isentropic system of gas dynamics
   2021/03/08 by Robin Ming Chen, Chen, Robin Ming, Alexis Vasseur +3 · 1 citation
   Engineering · Mathematics · #35L65 #35Q31 #76N10 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Computational Fluid Dynamics and Aerodynamics #FOS: Mathematics #Navier-Stokes equation solutions
7. Local regularity for the space-homogeneous Landau equation with very soft potentials
   2022/06/10 by François Golse, Golse, François, Cyril Imbert +3 · 1 citation
   Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations
8. Energy dissipation near the outflow boundary in the vanishing viscosity limit
   2024/10/17 by Yang, Jincheng, Martinez, Vincent R., Mazzucato, Anna L. +1 · 2 citations
   #35Q30 #76D05 #Analysis of PDEs (math.AP) #FOS: Mathematics
9. Non-uniqueness for continuous solutions to 1D hyperbolic systems
   2024/07/03 by Robin Ming Chen, Chen, Robin Ming, Alexis Vasseur +3 · 1 citation
   Computer Science · Engineering · Mathematics · #35L45 #35L65 #76N10 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics #Stability and Controllability of Differential Equations