22 citations · 61 across the 12 of their papers we have counts for
10 papers · 1 filter
On the Exponential decay for Compressible Navier-Stokes-Korteweg equations with a Drag Term
Didier Bresch, Marguerite Gisclon, Ingrid Lacroix-Violet +1
In this paper, we consider global weak solutions to com-pressible Navier-Stokes-Korteweg equations with density dependent viscosities , in a periodic domain , with…
Augmented Skew-Symetric System for Shallow-Water System with Surface Tension Allowing Large Gradient of Density
Jean-Paul Vila, Gael Richard, Didier Bresch +7
In this paper, we introduce a new extended version of the shallow water equations with surface tension which is skew-symmetric with respect to the L2 scalar product and allows for…
On Navier-Stokes-Korteweg and Euler-Korteweg Systems: Application to Quantum Fluids Models
Didier Bresch, Marguerite Gisclon, Ingrid Lacroix-Violet
In this paper, the main objective is to generalize to the Navier-Stokes-Korteweg (with density dependent viscosities satisfying the BD relation) and Euler-Korteweg systems a recent…
Kinetic formulation of a 2 2 hyperbolic system arising in gas chromatography
C Bourdarias, M Gisclon, Stéphane Junca
The PSA system commonly used in the context of gas-solid chromatography is reformulated as a single kinetic equation using an additional kinetic variable. A kinetic numerical schem…
About the barotropic compressible quantum Navier-Stokes equations
M. Gisclon, I. Lacroix-Violet
In this paper we consider the barotropic compressible quantum Navier-Stokes equations with a linear density dependent viscosity and its limit when the scaled Planck constant vanish…
Fractional BV spaces and first applications to scalar conservation laws
Christian Bourdarias, Marguerite Gisclon, Stéphane Junca
The aim of this paper is to obtain new fine properties of entropy solutions of nonlinear scalar conservation laws. For this purpose, we study some "fractional spaces" denoted…