<p>Maximal L-p-L-q regularity for two-phase fluid motion in the linearized Oberbeck-Boussinesq approximation</p>

doi:10.1016/j.jde.2022.03.022

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	Maximal L-p-L-q regularity for two-phase fluid motion in the linearized Oberbeck-Boussinesq approximation
	Hao, Chengchun 1,2,3; Zhang, Wei 1,3
	2022-06-15
发表期刊	JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN	0022-0396
卷号	322 页码:101-134
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.
关键词	Oberbeck-Boussinesq approximation Free boundary problem Maximal L-p-L-q regularity Resolvent estimate
DOI	10.1016/j.jde.2022.03.022
收录类别	SCI
语种	英语
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
WOS类目	Mathematics
WOS记录号	WOS:000792897400004
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/61292
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.