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The Boltzmann equation with weakly inhomogeneous data in bounded domain

This paper is concerned with the Boltzmann equation with specular reflection boundary condition. We construct a unique global solution and obtain its large time asymptotic behavior in the case that the initial data is close enough to a radially symmetric homogeneous datum. The result extends the case of Cauchy problem considered by Arkeryd-Esposito-Pulvirenti [Comm. Math. Phys. 111(3): 393-407 (1987)] to the specular reflection boundary value problem in bounded domain.

preprint2016arXivOpen access
Yan GuoShuangqian Liu
math.AP
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Yan GuoShuangqian Liu

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