$L^6$ Bound for Boltzmann Diffusive Limit

$L^6$ Bound for Boltzmann Diffusive Limit

Year:    2016

Author:    Yan Guo

Annals of Applied Mathematics, Vol. 32 (2016), Iss. 3 : pp. 249–265

Abstract

We consider diffusive limit of the Boltzmann equation in a periodic box. We establish $L^6$ estimate for the hydrodynamic part $\mathbf{P}f$ of particle distribution function, which leads to uniform bounds global in time.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2016-AAM-20641

Annals of Applied Mathematics, Vol. 32 (2016), Iss. 3 : pp. 249–265

Published online:    2016-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    17

Keywords:    $L^6$ estimate Boltzmann equation diffusive limit.

Author Details

Yan Guo