| SOME RESULTS ON HYPERBOLIC SYSTEMS WITH RELAXATION |
| |
| 引用本文： | 伍锦棠 郑永树. SOME RESULTS ON HYPERBOLIC SYSTEMS WITH RELAXATION[J]. 数学物理学报(B辑英文版), 2006, 26(4): 767-780. DOI: 10.1016/S0252-9602(06)60103-3 |
| |
| 作者姓名： | 伍锦棠 郑永树 |
| |
| 作者单位： | Department of Mathematics, Huaqiao University, Quanzhou 362011, China |
| |
| 基金项目： | This research is supported by ＂Foundation of office of overseas chinese affair under the state council： 03QZR09＂. |
| |
| 摘 要： | In this article, first, the authors prove that there exists a unique global smooth solution for the Cauthy problem to the hyperbolic conservation laws systems with relaxation; second, in the large time station, they prove that the global smooth solutions of the hyperbolic conservation laws systems with relaxation converge to rarefaction waves solution at a determined L^P（p ≥ 2） decay rate.
|
| 关 键 词： | 松弛双曲线系统 整体平稳解 稀疏波 衰变估计 |
| 收稿时间： | 2005-01-16 |
SOME RESULTS ON HYPERBOLIC SYSTEMS WITH RELAXATION |
| |
| Jintang Wu,Yongshu Zheng. SOME RESULTS ON HYPERBOLIC SYSTEMS WITH RELAXATION[J]. Acta Mathematica Scientia, 2006, 26(4): 767-780. DOI: 10.1016/S0252-9602(06)60103-3 |
| |
| Authors: | Jintang Wu Yongshu Zheng |
| |
| Affiliation: | aDepartment of Mathematics, Huaqiao University, Quanzhou 362011, China |
| |
| Abstract: | In this article, first, the authors prove that there exists a unique global smooth solution for the Cauthy problem to the hyperbolic conservation laws systems with relaxation; second, in the large time station, they prove that the global smooth solutions of the hyperbolic conservation laws systems with relaxation converge to rarefaction waves solution at a determined Lp(p ≥ 2) decay rate. |
| |
| Keywords: | Hyperbolic systems with relaxation global smoothly solution rarefaction waves decay estimate |
| 本文献已被 维普 万方数据 ScienceDirect 等数据库收录！ |
