Zobrazeno 1 - 10
of 306
pro vyhledávání: '"Vasseur, Alexis"'
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 boundary in the zero-viscosity limit. We show that in a general setting
Externí odkaz:
http://arxiv.org/abs/2410.13127
In this paper, we show that a geometrical condition on $2\times2$ systems of conservation laws leads to non-uniqueness in the class of 1D continuous functions. This demonstrates that the Liu Entropy Condition alone is insufficient to guarantee unique
Externí odkaz:
http://arxiv.org/abs/2407.02927
Autor:
Fanelli, Francesco, Vasseur, Alexis F.
The present paper is concerned with the well-posedness theory for non-homogeneous incompressible fluids exhibiting odd (non-dissipative) viscosity effects. Differently from previous works, we consider here the full odd viscosity tensor. Similarly to
Externí odkaz:
http://arxiv.org/abs/2401.17085
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 admissible solutions can be discerned. The pursuit of solving this in
Externí odkaz:
http://arxiv.org/abs/2401.09305
We establish the time-asymptotic stability of solutions to the one-dimensional compressible Navier-Stokes-Fourier equations, with initial data perturbed from Riemann data that forms a generic Riemann solution. The Riemann solution under consideration
Externí odkaz:
http://arxiv.org/abs/2306.05604
Autor:
Vasseur, Alexis F., Yang, Jincheng
We provide an unconditional $L^2$ upper bound for the boundary layer separation of Leray-Hopf solutions in a smooth bounded domain. By layer separation, we mean the discrepancy between a (turbulent) low-viscosity Leray-Hopf solution $u^\nu$ and a fix
Externí odkaz:
http://arxiv.org/abs/2303.05236
This paper deals with the space-homogenous Landau equation with very soft potentials, including the Coulomb case. This nonlinear equation is of parabolic type with diffusion matrix given by the convolution product of the solution with the matrix $a_{
Externí odkaz:
http://arxiv.org/abs/2206.05155
Autor:
Vasseur, Alexis F., Yang, Jincheng
Consider the steady solution to the incompressible Euler equation $\bar u=Ae_1$ in the periodic tunnel $\Omega=\mathbb T^{d-1}\times(0,1)$ in dimension $d=2,3$. Consider now the family of solutions $u^\nu$ to the associated Navier-Stokes equation wit
Externí odkaz:
http://arxiv.org/abs/2110.02426
We prove the time-asymptotic stability of composite waves consisting of the superposition of a viscous shock and a rarefaction for the one-dimensional compressible barotropic Navier-Stokes equations. Our result solves a long-standing problem first me
Externí odkaz:
http://arxiv.org/abs/2104.06590
In dimension $n=2$ and $3$, we show that for any initial datum belonging to a dense subset of the energy space, there exist infinitely many global-in-time admissible weak solutions to the isentropic Euler system whenever $1<\gamma\leq 1+\frac2n$. Thi
Externí odkaz:
http://arxiv.org/abs/2103.04905