3 papers
math.AP2025
Averaged models for compressible two-phase stratified flows on thin domains
Nicolas Seguin, Khaled Saleh, Pierrick Le Vourc'H
This paper deals with the derivation of compressible two-phase flow models. We use a thin domain approximation of a two-layer configuration governed by the Navier-Stokes equations,…
math.NA2023
Stability of finite difference schemes for the hyperbolic initial boundary value problem by winding number computations
Benjamin Boutin, Pierre Le Barbenchon, Nicolas Seguin
In this paper, we present a numerical strategy to check the strong stability (or GKS-stability) of one-step explicit finite difference schemes for the one-dimensional advection equ…
math.AP2014
A simple derivation of BV bounds for inhomogeneous relaxation systems
Benoit Perthame, Nicolas Seguin, Magali Tournus
We consider relaxation systems of transport equations with heterogeneous source terms and with boundary conditions, which limits are scalar conservation laws. Classical bounds fail…