On the Cauchy problem for the Muskat equation with non-Lipschitz initial data

doi:10.1080/03605302.2021.1928700

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	On the Cauchy problem for the Muskat equation with non-Lipschitz initial data
	Alazard, Thomas 1; Nguyen, Quoc-Hung2
	2021-11-02
发表期刊	COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS (IF:2.1[JCR-2023],2.2[5-Year])
ISSN	0360-5302
EISSN	1532-4133
卷号	46 期号:11 页码:2171-2212
DOI	10.1080/03605302.2021.1928700
摘要	This article is devoted to the study of the Cauchy problem for the Muskat equation. We consider initial data belonging to the critical Sobolev space of functions with three-half derivative in L-2, up to a fractional logarithmic correction. As a corollary, we obtain the first local and global well-posedness results for initial free surfaces which are not Lipschitz.
关键词	Critical Cauchy problem Darcy free boundary flow
URL	查看原文
收录类别	SCIE
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000657177900001
出版者	TAYLOR & FRANCIS INC
原始文献类型	Article; Early Access
引用统计	正在获取...
文献类型	期刊论文
条目标识符	https://kms.shanghaitech.edu.cn/handle/2MSLDSTB/126933
专题	数学科学研究所_PI研究组(P)_Quoc Hung Nguyen组
通讯作者	Alazard, Thomas
作者单位	1.Univ Paris Saclay, CNRS, ENS Paris Saclay, Paris, France; 2.ShanghaiTech Univ, Shanghai, Peoples R China
推荐引用方式 GB/T 7714	Alazard, Thomas,Nguyen, Quoc-Hung. On the Cauchy problem for the Muskat equation with non-Lipschitz initial data[J]. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS,2021,46(11):2171-2212.
APA	Alazard, Thomas,&Nguyen, Quoc-Hung.(2021).On the Cauchy problem for the Muskat equation with non-Lipschitz initial data.COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS,46(11),2171-2212.
MLA	Alazard, Thomas,et al."On the Cauchy problem for the Muskat equation with non-Lipschitz initial data".COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS 46.11(2021):2171-2212.