Decay of the Boltzmann Equation with the Specular Boundary Condition in Non-convex Cylindrical Domains
Decay of the Boltzmann Equation with the Specular Boundary Condition in Non-convex Cylindrical Domains
复制标题
非凸柱面镜面边界条件下玻尔兹曼方程的衰变
DOI：
10.1007/s00205-018-1241-5
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发表时间：
2018
影响因子：
2.5
通讯作者：
Lee, Donghyun
中科院分区：
文献类型：
--
作者：
Kim, Chanwoo;Lee, Donghyun
The basic question about the existence, uniqueness, and stability of the Boltzmann equation in general non-convex domains with the specular reflection boundary condition has been widely open. In this paper, we consider cylindrical domains whose cross section is generally non-convex analytic bounded planar domain. We establish a global well-posedness and asymptotic stability of the Boltzmann equation with the specular reflection boundary condition. Our method consists of the delicate construction of-tubular neighborhoods of billiard trajectories which bounce infinitely many times or hit the boundary tangentially at some moment, and sharp estimates of the size of such neighborhoods.
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影响因子：
3.1
作者：
Yan Guo;Chanwoo Kim;D. Tonon;A. Trescases
通讯作者：
Yan Guo;Chanwoo Kim;D. Tonon;A. Trescases
影响因子：
2.5
作者：
M. Briant
通讯作者：
M. Briant
影响因子：
2.5
作者：
Yan Guo;Chanwoo Kim;D. Tonon;A. Trescases
通讯作者：
Yan Guo;Chanwoo Kim;D. Tonon;A. Trescases
奇怪的台球桌
DOI：
--
发表时间：
1977
期刊：
影响因子：
--
作者：
B. Halpern
通讯作者：
B. Halpern
影响因子：
3
作者：
Chanwoo Kim;Donghyung Lee
通讯作者：
Chanwoo Kim;Donghyung Lee