Time decay rate of solutions toward the viscous shock waves to the Cauchy problem for the scalar conservation law with nonlinear viscosity and discontinuous initial data
文献类型：期刊论文
| 作者 | Liu, Yechi |
| 刊名 | NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
 |
| 出版日期 | 2022-09-01 |
| 卷号 | 222页码:14 |
| ISSN号 | 0362-546X |
| 关键词 | Viscous conservation law Asymptotic behavior Time decay rate Viscous shock wave Discontinuous initial data |
| DOI | 10.1016/j.na.2022.112945 |
| 英文摘要 | In this paper, it is shown that the weak solution to the Cauchy problem for the scalar viscous conservation law, with nonlinear viscosity and different far field states, exists globally in time. Especially, this existence holds with discontinuous initial data. Furthermore, when the corresponding Riemann problem for the hyperbolic part has a single shock wave solution, it is proved that the weak solution converges toward the viscous shock wave as time goes to infinity, and the decay rate is also obtained. The proof is given by a technical energy method. (c) 2022 Elsevier Ltd. All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
| WOS记录号 | WOS:000806759100008 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/61508]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Liu, Yechi |
| 作者单位 | Chinese Acad Sci, Inst Appl Math, AMSS, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Liu, Yechi. Time decay rate of solutions toward the viscous shock waves to the Cauchy problem for the scalar conservation law with nonlinear viscosity and discontinuous initial data[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,2022,222:14. |
| APA | Liu, Yechi.(2022).Time decay rate of solutions toward the viscous shock waves to the Cauchy problem for the scalar conservation law with nonlinear viscosity and discontinuous initial data.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,222,14. |
| MLA | Liu, Yechi."Time decay rate of solutions toward the viscous shock waves to the Cauchy problem for the scalar conservation law with nonlinear viscosity and discontinuous initial data".NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 222(2022):14. |
入库方式： OAI收割
来源：数学与系统科学研究院
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