2 citations · 2 across the 4 of their papers we have counts for
7 papers
Weak-BV Stability and Inviscid Limits for Barotropic Flows with Outflow Boundary Conditions
Jiayun Meng, Alexis F. Vasseur
Boundary value problems for systems of conservation laws, including inviscid compressible flows, arise naturally in physical models such as shallow water flow in a canal, where flu…
Weak-BV stability of inflow and outflow problems for the isentropic Euler system
Moon-Jin Kang, Jiayun Meng, HyeonSeop Oh +1
We study the well-posedness of small BV solutions to the one-dimensional isentropic Euler system on the half-line under inflow and outflow boundary conditions. These boundary condi…
Energy dissipation near the outflow boundary in the vanishing viscosity limit
Jincheng Yang, Vincent R. Martinez, Anna L. Mazzucato +1
We consider the incompressible Navier-Stokes and Euler equations in a bounded domain with non-characteristic boundary condition, and study the energy dissipation near the outflow b…
Non-uniqueness for continuous solutions to 1D hyperbolic systems
Robin Ming Chen, Alexis F. Vasseur, Cheng Yu
In this paper, we show that a geometrical condition on systems of conservation laws leads to non-uniqueness in the class of 1D continuous functions. This demonstrates th…
Effective velocity and -based well-posedness for incompressible fluids with odd viscosity
Francesco Fanelli, Alexis F. Vasseur
The present paper is concerned with the well-posedness theory for non-homogeneous incompressible fluids exhibiting odd (non-dissipative) viscosity effects. Differently from previou…
From Navier-Stokes to BV solutions of the barotropic Euler equations
Geng Chen, Moon-Jin Kang, Alexis F. Vasseur
In the realm of mathematical fluid dynamics, a formidable challenge lies in establishing inviscid limits from the Navier-Stokes equations to the Euler equations, wherein physically…
Harnack inequality for kinetic Fokker-Planck equations with rough coefficients and application to the Landau equation
F Golse, Cyril Imbert, Clément Mouhot +1
We extend the De Giorgi--Nash--Moser theory to a class of kinetic Fokker-Planck equations and deduce new results on the Landau-Coulomb equation. More precisely, we first study the…