Volume 32, Issue 3
$L^6$ Bound for Boltzmann Diffusive Limit

Yan Guo

Ann. Appl. Math., 32 (2016), pp. 249-265.

Published online: 2022-06

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  • 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.

  • AMS Subject Headings

76P05

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COPYRIGHT: © Global Science Press

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@Article{AAM-32-249, author = {Guo , Yan}, title = {$L^6$ Bound for Boltzmann Diffusive Limit}, journal = {Annals of Applied Mathematics}, year = {2022}, volume = {32}, number = {3}, pages = {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.

}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/aam/20641.html} }
TY - JOUR T1 - $L^6$ Bound for Boltzmann Diffusive Limit AU - Guo , Yan JO - Annals of Applied Mathematics VL - 3 SP - 249 EP - 265 PY - 2022 DA - 2022/06 SN - 32 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/aam/20641.html KW - $L^6$ estimate, Boltzmann equation, diffusive limit. AB -

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.

Guo , Yan. (2022). $L^6$ Bound for Boltzmann Diffusive Limit. Annals of Applied Mathematics. 32 (3). 249-265. doi:
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