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The Solutions for the Boundary Layer Problem of Boltzmann Equation in a Half-Space

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Abstract

We study the half space boundary layer problem for Boltzmann equation with cut-off potentials in all the cases −3<γ≤1, while the boundary condition is imposed on the incoming particles of Dirichlet type, and the solution is assumed to approach to a global Maxwellian at the far field. The same as for cut-off hard sphere model, there is an implicit solvability condition on the boundary data which gives the co-dimensions of the boundary data in terms of positive characteristic speeds.

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  1. Department of Mathematics, Shanghai Jiao Tong University, Shanghai, 200240, P.R. China

    Xiongfeng Yang

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  1. Xiongfeng Yang
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Yang, X. The Solutions for the Boundary Layer Problem of Boltzmann Equation in a Half-Space. J Stat Phys 143, 168–196 (2011). https://doi.org/10.1007/s10955-011-0158-2

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