Paper Info
Title
BOUNDARY LAYER SOLUTION OF THE BOLTZMANN EQUATION FOR DIFFUSIVE REFLECTION BOUNDARY CONDITIONS IN HALF-SPACE
Abstract
We study the steady Boltzmann equation in half-space, which arises in the Knudsen boundary layer problem, with diffusive reflection boundary conditions. Under certain admissible conditions, we establish the existence of a boundary layer solution for both linear and nonlinear Boltzmann equations in half-space with diffusive reflection boundary condition in L-x,v(infinity) when the far-field Mach number of the Maxwellian is zero. The continuity and the spacial decay of the solution are obtained. The uniqueness is established under some constraint conditions.
Year
DOI
Venue
2022
10.1137/21M142945X
SIAM JOURNAL ON MATHEMATICAL ANALYSIS
Keywords
DocType
Volume
Boltzmann equation, Knudsen boundary layer, diffusive reflection boundary condition, steady problem, a priori estimate
Journal
54
Issue
ISSN
Citations 
3
0036-1410
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Feimin Huang1117.68
Yong Wang257546.58