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arXiv · 2008.06621

Boundary layer solution of the Boltzmann equation for specular boundary condition

Feimin Huang·Zaihong Jiang·Yong Wang
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Abstract

In the paper, we establish the existence of steady boundary layer solution of Boltzmann equation with specular boundary condition in $L^2_{x,v}\cap L^\infty_{x,v}$ in half-space. The uniqueness, continuity and exponential decay of the solution are obtained, and such estimates are important to prove the Hilbert expansion of Boltzmann equation for half-space problem with specular boundary condition.

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Feimin Huang, Zaihong Jiang, Yong Wang. 2020-08-15. Boundary layer solution of the Boltzmann equation for specular boundary condition. https://arxiv.org/abs/2008.06621

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