Bernard Ducomet
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View article: On an Euler-Schrödinger system appearing in laser-plasma interaction
On an Euler-Schrödinger system appearing in laser-plasma interaction Open
We consider the Cauchy problem for the barotropic Euler system coupled to a vector Schrödinger equation in the whole space. Assuming that the initial density and vector potential are small enough, and that the initial velocity is close to …
View article: Global solutions of Euler–Maxwell equations with dissipation
Global solutions of Euler–Maxwell equations with dissipation Open
We consider the Cauchy problem for a damped Euler–Maxwell system with no ionic background. For smooth enough data satisfying suitable so-called dispersive conditions, we establish the global in time existence and uniqueness of a strong sol…
View article: Global solutions of Euler-Maxwell equations with dissipation
Global solutions of Euler-Maxwell equations with dissipation Open
We consider the Cauchy problem for a damped Euler-Maxwell system with no ionic background. For smooth enough data satisfying suitable so-called dispersive conditions, we establish the global in time existence and uniqueness of a strong sol…
View article: Energy-dependent Hamiltonian in a nuclear optical model
Energy-dependent Hamiltonian in a nuclear optical model Open
We study the spectral properties of a 1D model of optical potential introduced by Morillon and Romain [21] in the context of nuclear reactions. We can localize the discrete spectrum and estimate the number of eigenvalues. We also study the…
View article: The global existence issue for the compressible Euler system with Poisson or Helmholtz couplings
The global existence issue for the compressible Euler system with Poisson or Helmholtz couplings Open
We consider the Cauchy problem for the barotropic Euler system coupled to Helmholtz or Poisson equations, in the whole space. We assume that the initial density is small enough, and that the initial velocity is close to some reference vect…
View article: Decay of local energy for solutions of the free Schrödinger equation in exterior domains
Decay of local energy for solutions of the free Schrödinger equation in exterior domains Open
In this article, we study the decay of the solutions of Schr\\"odinger\nequations in the exterior of an obstacle. The main situations we are interested\nin are the general case (no non-trapping assumptions) or some weakly trapping\nsituati…
View article: Low Mach and thin domain limit for the compressible Euler system
Low Mach and thin domain limit for the compressible Euler system Open
We consider the compressible Euler system describing the motion of an ideal fluid confined to a straight layer $Ω_δ=(0,δ)\times\mathbb{R}^2, \ \ δ>0$. In the framework of dissipative measure-valued solutions, we show the convergence to the…
View article: The global existence issue for the compressible Euler system with Poisson or Helmholtz couplings
The global existence issue for the compressible Euler system with Poisson or Helmholtz couplings Open
We consider the Cauchy problem for the barotropic Euler system coupled to Helmholtz or Poisson equations, in the whole space. We assume that the initial density is small enough, and that the initial velocity is close to some reference vect…
View article: The rotating Navier–Stokes–Fourier–Poisson system on thin domains
The rotating Navier–Stokes–Fourier–Poisson system on thin domains Open
We consider the compressible Navier–Stokes–Fourier–Poisson system describing the motion of a viscous heat conducting rotating fluid confined to a straight layer [Formula: see text], where ω is a 2-D domain. The aim of this paper is to show…
View article: Global existence of a diffusion limit with damping for the compressible radiative Euler system coupled to an electromagnetic field
Global existence of a diffusion limit with damping for the compressible radiative Euler system coupled to an electromagnetic field Open
We study the Cauchy problem for a system of equations corresponding to a singular limit of radiative hydrodynamics, namely the 3D radiative compressible Euler system coupled to an electromagnetic field through the MHD approximation. Assumi…
View article: Global existence of a radiative Euler system coupled to an electromagnetic field
Global existence of a radiative Euler system coupled to an electromagnetic field Open
We study the Cauchy problem for a system of equations corresponding to a singular limit of radiative hydrodynamics, namely, the 3D radiative compressible Euler system coupled to an electromagnetic field. Assuming smallness hypotheses for t…
View article: Global existence of a radiative Euler system coupled to an electromagnetic field
Global existence of a radiative Euler system coupled to an electromagnetic field Open
We study the Cauchy problem for a system of equations corresponding to a singular limit of radiative hydrodynamics, namely, the 3D radiative compressible Euler system coupled to an electromagnetic field. Assuming smallness hypotheses for t…
View article: Low Mach number limit for a model of accretion disk
Low Mach number limit for a model of accretion disk Open
We study an hydrodynamical model describing the motion of thick astrophysical disks relying on compressible Navier-Stokes-Fourier-Poisson system. We also suppose that the medium is electrically charged and we include energy exchanges throu…
View article: Global existence of a diffusion limit with damping for the compressible radiative Euler system coupled to an electromagnetic field
Global existence of a diffusion limit with damping for the compressible radiative Euler system coupled to an electromagnetic field Open
We study the Cauchy problem for a system of equations corresponding to a singular limit of radiative hydrodynamics, namely the 3D radiative compressible Euler system coupled to an electromagnetic field through the MHD approximation. Assumi…
View article: Global existence of a radiative Euler system coupled to an\n electromagnetic field
Global existence of a radiative Euler system coupled to an\n electromagnetic field Open
We study the Cauchy problem for a system of equations corresponding to a\nsingular limit of radiative hydrodynamics, namely the 3D radiative compressible\nEuler system coupled to an electromagnetic field. Assuming smallness hypotheses\nfor…
View article: Lifetime of localized states for a generalized Schrodinger operator appearing in nuclear physics
Lifetime of localized states for a generalized Schrodinger operator appearing in nuclear physics Open
We apply time-energy uncertainty inequalities introduced by Pfeifer and Frohlich [27] to estimate the lifetime of quasistationary mixed states for a variable coefficients Schrodinger operator, without using directly resonance theory.
View article: Diffusive limits for a barotropic model of radiative flow
Diffusive limits for a barotropic model of radiative flow Open
We aim at justifying rigorously different types of physically relevant diffusive limits for radiative flows. For simplicity, we consider the barotropic situation, and adopt the so-called -approximation of the radiative transfer equation. I…
View article: Low Mach and Peclet number limit for a model of stellar tachocline and upper radiative zones
Low Mach and Peclet number limit for a model of stellar tachocline and upper radiative zones Open
We study a hydrodynamical model describing the motion of internal stellar layers based on compressible Navier-Stokes-Fourier-Poisson system. We suppose that the medium is electrically charged, we include energy exchanges through radiative …
View article: On some singular limits in damped radiation hydrodynamics
On some singular limits in damped radiation hydrodynamics Open
We consider the Cauchy problem for the 3D Euler system with damping coupled to radiation through two singular limits. Assuming suitable smallness hypotheses for the data, we prove that each of these two problems admits a unique smooth solu…
View article: The low match number limit for a barotropic model of radiative flow
The low match number limit for a barotropic model of radiative flow Open
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View article: Weak and strong solutions of equations of compressible magnetohydrodynamics
Weak and strong solutions of equations of compressible magnetohydrodynamics Open
This article proposes a review of the analysis of the system of magnetohydrodynamics (MHD). First, we give an account of the modelling asumptions. Then, the results of existence of weak solutions, using the notion of renormalized solutions…
View article: Diffusive limits for a barotropic model of radiative flow
Diffusive limits for a barotropic model of radiative flow Open
Here we aim at justifying rigorously different types of physically relevant diffusive limits for radiative flows. For simplicity, we consider the barotropic situation, and adopt the so-called P1-approximation of the radiative transfer equa…
View article: Global weak solutions to 1D compressible Euler equations with radiation
Global weak solutions to 1D compressible Euler equations with radiation Open
We consider the Cauchy problem for the equations of one-dimensional motion of a compressible inviscid gas coupled with radiation through a radiative transfer equation.Assuming suitable hypotheses on the transport coefficients and the data,…