Stability of the Riemann solutions for a nonstrictly hyperbolic system of conservation laws
文献类型：期刊论文
| 作者 | Shen, Chun; Sun, Meina1 |
| 刊名 | NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
 |
| 出版日期 | 2010-11-15 |
| 卷号 | 73期号:10页码:3284-3294 |
| 关键词 | Delta shock wave Delta contact discontinuity Wave interaction Riemann problem Split delta function Nonstrictly hyperbolicity |
| 产权排序 | 第二 |
| 英文摘要 | We prove that the Riemann solutions are stable for a nonstrictly hyperbolic system of conservation laws under local small perturbations of the Riemann initial data. The proof is based on the detailed analysis of the interactions of delta shock waves with shock waves and rarefaction waves. During the interaction process of the delta shock wave with the rarefaction wave, a new kind of nonclassical wave, namely a delta contact discontinuity, is discovered here, which is a Dirac delta function supported on a contact discontinuity and has already appeared in the interaction process for the magnetohydrodynamics equations [M. Nedeljkov and M. Oberguggenberger, Interactions of delta shock waves in a strictly hyperbolic system of conservation laws, J. Math. Anal. Appl. 344 (2008) 1143-1157]. Moreover, the global structures and large time asymptotic behaviors of the solutions are constructed and analyzed case by case. (C) 2010 Elsevier Ltd. All rights reserved. |
| WOS标题词 | Science & Technology ; Physical Sciences |
| 学科主题 | 非线性偏微分方程 |
| 类目[WOS] | Mathematics, Applied ; Mathematics |
| 研究领域[WOS] | Mathematics |
| 关键词[WOS] | DELTA-SHOCK-WAVES ; ELEMENTARY WAVES ; EQUATIONS ; TRANSPORT ; MODEL |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000281352600013 |
| 源URL | [http://ir.wipm.ac.cn/handle/112942/2038]  |
| 专题 | 武汉物理与数学研究所_2011年以前论文发表（包括2011年） |
| 作者单位 | 1.Ludong Univ, Sch Math & Informat, Yantai 264025, Peoples R China 2.Chinese Acad Sci, Phys Math Lab, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China |
| 推荐引用方式 GB/T 7714 | Shen, Chun,Sun, Meina. Stability of the Riemann solutions for a nonstrictly hyperbolic system of conservation laws[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,2010,73(10):3284-3294. |
| APA | Shen, Chun,&Sun, Meina.(2010).Stability of the Riemann solutions for a nonstrictly hyperbolic system of conservation laws.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,73(10),3284-3294. |
| MLA | Shen, Chun,et al."Stability of the Riemann solutions for a nonstrictly hyperbolic system of conservation laws".NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 73.10(2010):3284-3294. |
入库方式： OAI收割
来源：武汉物理与数学研究所
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