| Asymptotic Behavior of Global Classical Solutions of Quasilinear Non-strictly Hyperbolic Systems with Weakly Linear Degeneracy |
| |
| 作者姓名： | Wenrong DAI |
| |
| 作者单位： | Wenrong DAI Department of Mathematics，Shanghai Jiao Tong University，Shanghai 200240，China. |
| |
| 摘 要： | In this paper, we study the asymptotic behavior of global classical solutions of the Cauchy problem for general quasilinear hyperbolic systems with constant multiple and weakly linearly degenerate characteristic fields. Based on the existence of global classical solution proved by Zhou Yi et al., we show that, when t tends to infinity, the solution approaches a combination of C1 travelling wave solutions, provided that the total variation and the L1 norm of initial data are sufficiently small.
|
| 关 键 词： | 渐近行为 特征场 常量多样性 衰弱线性简并 行波 |
| 收稿时间： | 17 December 2004 |
Asymptotic Behavior of Global Classical Solutions of Quasilinear Non-strictly Hyperbolic Systems with Weakly Linear Degeneracy |
| |
| Wenrong DAI.Asymptotic Behavior of Global Classical Solutions of Quasilinear Non-strictly Hyperbolic Systems with Weakly Linear Degeneracy[J].Chinese Annals of Mathematics,Series B,2006,27(3):263-286. |
| |
| Authors: | Wenrong DAI |
| |
| Institution: | Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200240, China |
| |
| Abstract: | In this paper, we study the asymptotic behavior of global classical solutions of the Cauchy problem for general quasilinear hyperbolic systems with constant multiple and weakly linearly degenerate characteristic fields. Based on the existence of global classical solution proved by Zhou Yi et al., we show that, when t tends to infinity, the solution approaches a combination of C1 travelling wave solutions, provided that the total variation and the L1 norm of initial data are sufficiently small. |
| |
| Keywords: | Asymptotic behavior Characteristic fields with constant multiplicity Weakly linear degeneracy Global classical solution Normalized coordinates Travelling wave |
| 本文献已被 CNKI 维普 万方数据 SpringerLink 等数据库收录！ |
| 点击此处可从《数学年刊B辑(英文版)》浏览原始摘要信息 |
| 点击此处可从《数学年刊B辑(英文版)》下载免费的PDF全文 |
