4 papers · 1 filter
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…