The Incompressible Navier­Stokes for the Nonlinear Discrete Velocity Models

DOI

10.2991/jnmp.2002.9.4.4How to use a DOI?

Abstract

We establish the incompressible Navier­Stokes limit for the discrete velocity model of the Boltzmann equation in any dimension of the physical space, for densities which rmain in a suitable small neighborhood of the global Maxwellian. Appropriately scaled families solutions of discrete Boltzmann equation are shown to have fluctuations that locally in time converge strongly to a limit governed by a solution of Incompressible Navier­Stokes provided that the initial fluctuation is smooth, and converges to apprpriate initial data. As applications of our results, we study the Carleman model and the one-dimensional Broadwell model.

Copyright

© 2006, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - JOUR
AU  - A. Bellouquid
PY  - 2002
DA  - 2002/11/01
TI  - The Incompressible Navier­Stokes for the Nonlinear Discrete Velocity Models
JO  - Journal of Nonlinear Mathematical Physics
SP  - 426
EP  - 445
VL  - 9
IS  - 4
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2002.9.4.4
DO  - 10.2991/jnmp.2002.9.4.4
ID  - Bellouquid2002
ER  -