BV-Regularity of the Boltzmann Equation in Non-Convex Domains
Guo, Yan; Kim, Chanwoo; Tonon, Daniela; Trescases, Ariane (2016), BV-Regularity of the Boltzmann Equation in Non-Convex Domains, Archive for Rational Mechanics and Analysis, 220, 3, p. 1045-1093. 10.1007/s00205-015-0948-9
Type
Article accepté pour publication ou publiéExternal document link
https://arxiv.org/abs/1409.0160v1Date
2016Journal name
Archive for Rational Mechanics and AnalysisVolume
220Number
3Publisher
Springer
Pages
1045-1093
Publication identifier
Metadata
Show full item recordAuthor(s)
Guo, YanDepartment of Mathematics, Brown University
Kim, Chanwoo
Tonon, Daniela
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Trescases, Ariane
Abstract (EN)
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.Subjects / Keywords
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