BV-Regularity of the Boltzmann Equation in Non-Convex Domains

Guo, Yan
Kim, Chanwoo
Tonon, Daniela
Trescases, Ariane

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Publication date

July 2016

DOI

10.1007/s00205-015-0948-9

Publisher

Springer Science and Business Media LLC

Journal

Archive for Rational Mechanics and Analysis

Abstract

We consider the Boltzmann equation in a general non-convex domain with the diffuse boundary condition. We establish optimal BV estimates for such solutions. Our method consists of a new W 1,1-trace estimate for the diffuse boundary condition and a delicate construction of an ε-tubular neighborhood of the singular set.nonnonrechercheInternationa

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BV-Regularity of the Boltzmann Equation in Non-Convex Domains

Abstract

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BV-Regularity of the Boltzmann Equation in Non-Convex Domains

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