Journal of Nonlinear Mathematical Physics

Volume 9, Issue 4, November 2001, Pages 426 - 445

The Incompressible Navier­Stokes for the Nonlinear Discrete Velocity Models

Authors
A BELLOUQUID
Corresponding Author
A BELLOUQUID
Available online November 2001.
DOI
https://doi.org/10.2991/jnmp.2002.9.4.4How to use a DOI?
Keywords
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.
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© The authors.
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This is an open access article distributed under the CC BY-NC license.

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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
9 - 4
Pages
426 - 445
Publication Date
2001/11
ISSN
1402-9251
DOI
https://doi.org/10.2991/jnmp.2002.9.4.4How to use a DOI?
Copyright
© The authors.
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - JOUR
AU  - A Bellouquid
PY  - 2001/11
DA  - 2001/11
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  - 1402-9251
UR  - https://doi.org/10.2991/jnmp.2002.9.4.4
DO  - https://doi.org/10.2991/jnmp.2002.9.4.4
ID  - BELLOUQUID2001/11
ER  -