12 citations · 25 across the 10 of their papers we have counts for
14 papers
Uniqueness and stability of entropy waves among vanishing dissipation limits from the Navier--Stokes--Fourier System
Cooper Faile, Ingrid Lacroix-Violet, Alexis F. Vasseur
In this paper, we establish the stability of general entropy wave solutions of the compressible Euler equations (that is, profiles with constant velocity and pressure) in the class…
Global weak solutions to the Quantum Navier-Stokes system in the whole space with a confining external potential
Jérémy Faupin, Ingrid Lacroix-Violet, Julien Lequeurre
We consider a dissipative quantum fluid on the whole space () confined by an external harmonic potential. The dynamics of the quantum fluid is described by…
High order linearly implicit methods for semilinear evolution PDEs
Guillaume Dujardin, Ingrid Lacroix-Violet
This paper considers the numerical integration of semilinear evolution PDEs using the high order linearly implicit methods developped in a previous paper in the ODE setting. These…
A numerical study of vortex nucleation in 2D rotating Bose-Einstein condensates
Guillaume Dujardin, Ingrid Lacroix-Violet, Anthony Nahas
This article introduces a new numerical method for the minimization under constraints of a discrete energy modeling multicomponents rotating Bose-Einstein condensates in the regime…
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…
High order linearly implicit methods for evolution equations
Guillaume Dujardin, Ingrid Lacroix-Violet
This paper introduces a new class of numerical methods for the time integration of evolution equations set as Cauchy problems of ODEs or PDEs. The systematic design of these method…
Energy preserving methods for nonlinear Schrödinger equations
Christophe Besse, Stephane Descombes, Guillaume Dujardin +1
This paper is concerned with the numerical integration in time of nonlinear Schrödinger equations using different methods preserving the energy or a discrete analog of it. The Cran…
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…
Global weak solutions to the compressible quantum navier-stokes equation and its semi-classical limit
Ingrid Lacroix-Violet, Alexis Vasseur
This paper is dedicated to the construction of global weak solutions to the quantum Navier-Stokes equation, for any initial value with bounded energy and entropy. The construction…
Discrete Artificial Boundary Conditions for the Korteweg-de Vries Equation
Christophe Besse, Matthias Ehrhardt, Ingrid Lacroix-Violet
In this paper we consider two numerical scheme based on trapezoidal rule in time for the linearized KdV equation in one space dimension. The goal is to derive some suitable artific…
Convergence of a Finite Volume Scheme for a Corrosion Model
Claire Chainais-Hillairet, Pierre-Louis Colin, Ingrid Lacroix-Violet
In this paper, we study the numerical approximation of a system of partial dif-ferential equations describing the corrosion of an iron based alloy in a nuclear waste repository. In…
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…
On the existence of solutions for a drift-diffusion system arising in corrosion modelling
Ingrid Lacroix-Violet, Claire Chainais-Hillairet
In this paper, we consider a drift-diffusion system describing the corrosion of an iron based alloy in a nuclear waste repository. In comparison with the classical drift-diffusion…
Transparent boundary conditions for locally perturbed infinite hexagonal periodic media
Christophe Besse, Julien Coatleven, Sonia Fliss +2
In this paper, we propose a strategy to determine the Dirichlet-to-Neumann (DtN) operator for infinite, lossy and locally perturbed hexagonal periodic media. We obtain a factorizat…