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arXiv · 1604.04342

The Boltzmann equation with specular boundary condition in convex domains

Chanwoo Kim·Donghyun Lee
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Abstract

We establish the global-wellposedness and stability of the Boltzmann equation with the specular reflection boundary condition in general smooth convex domains when an initial datum is close to the Maxwellian with or without a small external potential. In particular, we have completely solved the long standing open problem after an announcement of [20] in 1977.

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Chanwoo Kim, Donghyun Lee. 2016-09-15. The Boltzmann equation with specular boundary condition in convex domains. https://doi.org/10.1002/cpa.21705

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