Chanwoo Kim
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Previous Organizations / Institutes
The organizations / institutes from the scholar's other articles in the past ten years
Research Subjects
Chanwoo Kim has a total of 6 co-authors. Here are the top co-authors by number of shared publications:
- Daniela Tonon
Università degli Studi di Padova = University of Padua
2 shared publications - Ariane Trescases
CMLA ENS Cachan CNRS 61 Av. du Pdt. Wilson F-94230 Cachan France
1 shared publication - Ariane Trescases1 shared publication
- Donghyun Lee
Department Of Mathematics University Of Wisconsin‐Madison Madison WI 53706 USA
1 shared publication - Yan Guo
Division of Applied Mathematics, Brown University, Providence, USA
1 shared publication - Yan Guo
Division of Applied Mathematics Brown University 02912 Providence RI USA
1 shared publication
Latest Publications
- 27 June 2017
- Published by Wiley in Communications on Pure and Applied Mathematics
- Vol. 71 (3) , 411-504
The Boltzmann Equation with Specular Boundary Condition in Convex Domains
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.
- 27 June 2017
- Published by Wiley in Communications on Pure and Applied Mathematics
- Vol. 71 (3) , 411-504
The Boltzmann Equation with Specular Boundary Condition in Convex Domains
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.
- 12 November 2015
- Published by Springer Nature in Archive for Rational Mechanics and Analysis
- Vol. 220 (3) , 1045-1093
BV-Regularity of the Boltzmann Equation in Non-Convex Domains
- 12 November 2015
- Published by Springer Nature in Archive for Rational Mechanics and Analysis
- Vol. 220 (3) , 1045-1093
BV-Regularity of the Boltzmann Equation in Non-Convex Domains
- Open Access
BV-regularity of the Boltzmann equation in Non-Convex Domains
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 and an $\varepsilon-$tubular neighborhood of the singular set.
Open AccessBV-regularity of the Boltzmann equation in Non-Convex Domains
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 and an $\varepsilon-$tubular neighborhood of the singular set.