PERIODIC PERTURBATIONS OF A COMPOSITE WAVE OF TWO VISCOUS SHOCKS FOR 1-D FULL COMPRESSIBLE NAVIER-STOKES EQUATIONS
文献类型:期刊论文
作者 | Yuan, Qian1; Yuan, Yuan2 |
刊名 | SIAM JOURNAL ON MATHEMATICAL ANALYSIS |
出版日期 | 2022 |
卷号 | 54期号:3页码:2876-2905 |
ISSN号 | 0036-1410 |
关键词 |   compressible Navier--Stokes equations viscous shock waves composite waves periodic perturbations |
DOI | 10.1137/21M1421489 |
英文摘要 | This paper is concerned with the asymptotic stability of a composite wave of two viscous shocks under spatially periodic perturbations for the 1-d full compressible Navier--Stokes equations. It is proved that as time increases, the solution approaches the background composite wave with a shift for each shock, where the shifts can be uniquely determined if both the periodic perturbations and strengths of two shocks are small. The key of the proof is to construct a suitable ansatz such that the antiderivative method works. |
资助项目 | China Postdoctoral Science Foun-dation[2019M660831] ; China Postdoctoral Science Foun-dation[2020TQ0345] ; National Natural Science Foundation of China[11901208] ; National Natural Science Foundation of China[11971009] ; Natural Science Foundation of Guangdong Province, China[2021A1515010247] ; National Key R\&D Program of China[2021YFA1002900] |
WOS研究方向 | Mathematics |
语种 | 英语 |
出版者 | SIAM PUBLICATIONS |
WOS记录号 | WOS:000803887700007 |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/61427] |
专题 | 应用数学研究所 博士后 |
通讯作者 | Yuan, Yuan |
作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China 2.South China Normal Univ, Sch Math Sci, Guangzhou 510631, Peoples R China |
推荐引用方式 GB/T 7714 | Yuan, Qian,Yuan, Yuan. PERIODIC PERTURBATIONS OF A COMPOSITE WAVE OF TWO VISCOUS SHOCKS FOR 1-D FULL COMPRESSIBLE NAVIER-STOKES EQUATIONS[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS,2022,54(3):2876-2905. |
APA | Yuan, Qian,&Yuan, Yuan.(2022).PERIODIC PERTURBATIONS OF A COMPOSITE WAVE OF TWO VISCOUS SHOCKS FOR 1-D FULL COMPRESSIBLE NAVIER-STOKES EQUATIONS.SIAM JOURNAL ON MATHEMATICAL ANALYSIS,54(3),2876-2905. |
MLA | Yuan, Qian,et al."PERIODIC PERTURBATIONS OF A COMPOSITE WAVE OF TWO VISCOUS SHOCKS FOR 1-D FULL COMPRESSIBLE NAVIER-STOKES EQUATIONS".SIAM JOURNAL ON MATHEMATICAL ANALYSIS 54.3(2022):2876-2905. |
入库方式: OAI收割
来源:数学与系统科学研究院
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