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The Boltzmann Equation with Specular Boundary Condition in Convex Domains SCIE SCOPUS
- Title
- The Boltzmann Equation with Specular Boundary Condition in Convex Domains
- Authors
- LEE, DONGHYUN; KIM, CHANWOO
- Date Issued
- 2018-03
- Publisher
- WILEY-BLACKWELL
- Abstract
- We establish the global well-posedness 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 longstanding open problem after an announcement by Shizuta and Asano in 1977. (c) 2017 Wiley Periodicals, Inc.
- ISSN
- 0010-3640
- Article Type
- Article
- Citation
- COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, vol. 71, no. 3, page. 411 - 504, 2018-03
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