| A Linear Hyperbolic System with Stiff Source Terms |
| |
| 作者姓名： | XU Hongmei WANG Weike |
| |
| 作者单位： | [1]School of Mathematics and Statistics, Wuhan University,Wuhan 430072, China [2]Department of Mathematics, Shanghai Jiao Tong University,Shanghai 200030, China |
| |
| 基金项目： | Supported by the National Natural Science Foundation of China（10131050） |
| |
| 摘 要： | We consider the behavior of solutions to the system ut ＋vx =0, vt ＋ux =（au-v）/τ as the relaxation parameter τ approaches 0. If the sub characteristic condition｜a｜ is satisfied, then u approaches a solution to the equilibrium equation ut ＋ aux = 0 and v approaches au. If this condition is violated then solutions have not Fourier transformation when τ→0.
|
| 关 键 词： | 线性双曲系统 格林函数 松弛 刚性 源项 |
| 文章编号： | 1007-1202（2007）02-0207-04 |
| 收稿时间： | 2006-04-18 |
A linear hyperbolic system with stiff source terms |
| |
| XU Hongmei WANG Weike.A Linear Hyperbolic System with Stiff Source Terms[J].Wuhan University Journal of Natural Sciences,2007,12(2):207-210. |
| |
| Authors: | Xu Hongmei Wang Weike |
| |
| Institution: | (1) School of Mathematics and Statistics, Wuhan University, Wuhan, 430072, China;(2) Department of Mathematics, Shanghai Jiao Tong University, Shanghai, 200030, China |
| |
| Abstract: | We consider the behavior of solutions to the system u
t
+ v
x
= 0, v
t
+ u
x
= (αu − v)/τ as the relaxation parameter τ approaches 0. If the sub characteristic condition |α| 1 is satisfied, then u approaches a solution to the equilibrium equation u
t
+ αu
x
= 0 and v approaches αu. If this condition is violated then solutions have not Fourier transformation when τ → 0.
Biography: XU Hongmei(1973-),female, Associate professor, Ph.D., research direction: partial differential equations and numerical analysis |
| |
| Keywords: | hyperbolic system relaxation Green function |
| 本文献已被 CNKI 维普 SpringerLink 等数据库收录！ |
