arXiv subjects

Valérie Le Blanc

Publications and source records attributed to Valérie Le Blanc.

2 recordsLinked to original sources

arXiv2010

Persistence of generalized roll-waves under viscous perturbation

The purpose of this article is to study the persistence of solution of a hyperbolic system under small viscous perturbation. Here, the solution of the hyperbolic system is supposed to be periodic: it is a periodic perturbation of a roll-wave. So, it has an infinity of shocks. The proof of the persistence is based on an expansion of the viscous solution and estimates on Green's functions.

math.AP↗

arXiv2009

$L^1$-stability of periodic stationary solutions of scalar convection-diffusion equations

The aim of this paper is to study the $L^1$-stability of periodic stationary solutions of scalar convection-diffusion equations. We obtain dispersion in $L^2$ for all space dimensions using Kružkov type entropy. And when the space dimension is one, we estimate the number of sign changes of a solution to obtain $L^1$-stability.

math.AP↗