Hypocoercivity for kinetic linear equations in bounded domains with general Maxwell boundary condition

S. This effect can be shown for large Knudsen numbers by using a numerical solution of the Boltzmann equation. However, when the wall is rough at a nanometric scale, it is necessary

The present work provides a complete description of the homogenization of the linear Boltzmann equation for monokinetic particles in the periodic system of holes of radius ε 2

Navier-Stokes equations; Euler equations; Boltzmann equation; Fluid dynamic limit; Inviscid limit; Slip coefficient; Maxwell’s accommo- dation boundary condition;

Grad, Asymptotic theory of the Boltzmann equation II, 1963 Rarefied Gas Dynamics (Proc. Grenier, On the derivation of homogeneous hydrostatic equations, M2AN Math. Grenier, Non

In this work, we have derived the incompressible Euler equations from the Boltz- mann equation in the case of the initial boundary value problem, for a class of boundary conditions

The global classical solution to the incompressible Navier-Stokes-Fourier equa- tion with small initial data in the whole space is constructed through a zero Knudsen number limit

More precisely, we show that if the initial data is non-negative and belongs to a uniformly local Sobolev space in the space variable with Maxwellian type decay property in the

Our goal is double : first, proving that the existence result and the properties of the solution proved in [3] can be extended to more general domains than R 3 , if we supplement