Bernard Ducomet

On the 2D compressible Navier–Stokes system with density-dependent viscosities

We show that the previous result of Vaigant and Kazhikhov [21] concerning the 2D compressible Navier–Stokes–Fourier system with vorticity-type boundary conditions and density-dependent viscosities is valid to any smooth bounded region of .

ASYMPTOTIC BEHAVIOR OF THE MOTION OF A VISCOUS HEAT-CONDUCTING ONE-DIMENSIONAL GAS WITH RADIATION: THE PURE SCATTERING CASE

We study the large-time behavior of the solution of an initial-boundary value problem for the equations of 1D motions of a compressible viscous heat-conducting gas coupled with radiation through a radiative transfer equation. Assuming only scattering processes between matter and photons (neglecting absorption and emission) and suitable hypotheses on the transport coefficients, we prove that the unique weak solution of the problem converges toward the static state.

The Low Mach Number Limit for a Barotropic Model of Radiative Flow

We aim at justifying rigorously the low Mach number asymptotics for a model of compressible fluid coupled to the radiation. For simplicity, we restrict ourselves to the barotropic situation and adopt the so-called

On the Motion of Several Rigid Bodies in an Incompressible Viscous Fluid under the Influence of Selfgravitating Forces

P1

Derivation of the Navier–Stokes–Poisson System with Radiation for an Accretion Disk

-approximation to model the effects of radiation. We focus on small perturbations of stable constant equilibria. In the critical regularity framework, we establish estimates independent of the Mach number and convergence results to the incompressible Navier--Stokes equation, exactly as in the nonradiative case. Our results hold true in the whole space

Global existence of a radiative Euler system coupled to an electromagnetic field

\mathbb{R}^n

Non-relativistic limit in a model of radiative flow

as well as in a periodic box

On a model in radiation hydrodynamics

\mathbb{T}^n

Global Weak Solutions to the 1D Compressible Navier-Stokes Equations with Radiation

with

Global existence of solutions for the one-dimensional motions of a compressible viscous gas with radiation: An “infrarelativistic model”

n\geq2.