中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
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
DOI10.1137/21M1421489
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

浏览0
下载0
收藏0
其他版本

除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。