Maximal L-p-L-q regularity for two-phase fluid motion in the linearized Oberbeck-Boussinesq approximation
文献类型：期刊论文
| 作者 | Hao, Chengchun1,2,3; Zhang, Wei1,3 |
| 刊名 | JOURNAL OF DIFFERENTIAL EQUATIONS
 |
| 出版日期 | 2022-06-15 |
| 卷号 | 322页码:101-134 |
| 关键词 | Oberbeck-Boussinesq approximation
Free boundary problem
Maximal L-p-L-q regularity Resolvent estimate |
| ISSN号 | 0022-0396 |
| DOI | 10.1016/j.jde.2022.03.022 |
| 英文摘要 | This paper is concerned with the generalized resolvent estimate and the maximal L-p-L-q regularity of the linearized Oberbeck-Boussinesq approximation for unsteady motion of a drop in another fluid without surface tension, which is indispensable for establishing the well-posedness of the Oberbeck-Boussinesq approximation for the two incompressible liquids separated by a closed interface. We prove the existence of R-bounded solution operators for the model problems and the maximal L-p-L-q regularity for the system. The key step is to prove the maximal L-p-L-q regularity theorem for the linearized heat equation with the help of the R-bounded solution operators for the corresponding resolvent problem and the Weis operator valued Fourier multiplier theorem. (C)& nbsp;2022 Elsevier Inc. All rights reserved. |
| 资助项目 | National Natural Science Foundation of China[12171460] ; National Natural Science Foundation of China[11971014] ; K.C.Wong Education Foundation |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000792897400004 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/61291]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Zhang, Wei |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 |
Hao, Chengchun,Zhang, Wei. Maximal L-p-L-q regularity for two-phase fluid motion in the linearized Oberbeck-Boussinesq approximation [J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2022,322:101-134. |
| APA |
Hao, Chengchun,&Zhang, Wei.(2022). Maximal L-p-L-q regularity for two-phase fluid motion in the linearized Oberbeck-Boussinesq approximation .JOURNAL OF DIFFERENTIAL EQUATIONS,322,101-134. |
| MLA |
Hao, Chengchun,et al." Maximal L-p-L-q regularity for two-phase fluid motion in the linearized Oberbeck-Boussinesq approximation ".JOURNAL OF DIFFERENTIAL EQUATIONS 322(2022):101-134. |
入库方式： OAI收割
来源：数学与系统科学研究院
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