Broadwell Model and Conservative Supersonic Boundary |
| |
Authors: | Shijin Deng Weike Wang Shih-Hsien Yu |
| |
Institution: | 1.Department of Mathematics,Shanghai Jiao Tong University,Shanghai,People’s Republic of China;2.Department of Mathematics,National University of Singapore,Singapore,Singapore |
| |
Abstract: | In this paper, we consider an initial-boundary value problem for the Broadwell model with a supersonic physical boundary.
Here, we pose a conservative boundary condition which preserves the total number of particles. We show that the solution converges
pointwise to a boundary layer exponentially, when the perturbations of the initial data to the equilibrium state are sufficiently
small, by using Green’s function as established in Lan et al. (Netw Heterog Media 1:167–183, 2006), weighted energy estimates
and by constructing a pair of anti-derivatives to convert the conservative boundary condition into a dissipative boundary
condition with conservation laws together with an a priori chosen boundary layer. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|