Alexis Vasseur
- Uniqueness and stability of entropy shocks to the isentropic Euler system in a class of inviscid limits from a large family of Navier–Stokes systems
2020/10/15 by Moon-Jin Kang, Alexis F. Vasseur, Alexis Vasseur · 8 citations
Mathematics · Engineering · #Navier-Stokes equation solutions #Computational Fluid Dynamics and Aerodynamics #Advanced Mathematical Physics Problems
- 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 · 7 citations
Mathematics · Engineering · #Navier-Stokes equation solutions #Advanced Mathematical Physics Problems #Computational Fluid Dynamics and Aerodynamics
- Relative Entropy and the Stability of Shocks and Contact Discontinuities for Systems of Conservation Laws with non-BV Perturbations
2011/05/14 by Nicholas Leger, Alexis Vasseur · 4 citations
Mathematics · Engineering · #Navier-Stokes equation solutions #Computational Fluid Dynamics and Aerodynamics #Stability and Controllability of Differential Equations
- Well-posedness of the Riemann problem with two shocks for the isentropic Euler system in a class of vanishing physical viscosity limits
2022/08/17 by Moon-Jin Kang, Alexis F. Vasseur, Alexis Vasseur · 4 citations
Mathematics · Engineering · #Navier-Stokes equation solutions #Advanced Mathematical Physics Problems #Fluid Dynamics and Turbulent Flows
- Global regularity of solutions to systems of reaction-diffusion with Sub-Quadratic Growth in any dimension
2009/01/28 by Michèle Caputo, Alexis Vasseur, Caputo, M. Cristina +1 · 1 citation
Engineering · Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Navier-Stokes equation solutions #Nonlinear Partial Differential Equations #Stability and Controllability of Differential Equations
- 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
- L2-contraction of large planar shock waves for multi-dimensional scalar viscous conservation laws
2019/04/02 by Moon-Jin Kang, Alexis F. Vasseur, Alexis Vasseur +1 · 3 citations
Mathematics · Engineering · #Navier-Stokes equation solutions #Computational Fluid Dynamics and Aerodynamics #Gas Dynamics and Kinetic Theory
- Regularity theory for nonlinear integral operators
2010/03/08 by Luis Caffarelli, Chi Hin Chan, Caffarelli, Luis +3 · 1 citation
Computer Science · Mathematics · #35B65 #45G05 #47G10. #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Numerical methods in inverse problems
- 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