Boundary layer solution of the Boltzmann equation for specular boundary condition

2020/08/15 by Feimin Huang, Huang, Feimin, Zaihong Jiang +3 · 1 citation
Engineering · Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Gas Dynamics and Kinetic Theory #Numerical methods in inverse problems #Radiative Heat Transfer Studies

paper · pdf · doi:10.48550/arxiv.2008.06621

openalex publication_date 2020/08/15 · openalex created_date 2020/08/21 · openalex updated_date 2026/07/28

Abstract

In the paper, we establish the existence of steady boundary layer solution of Boltzmann equation with specular boundary condition in L²_x,v∩ L^∞_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.

Cited by

• Incompressible Euler limit from the Boltzmann equation with Maxwell reflection boundary condition in the half-space

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