IMECH-IR  > 流固耦合系统力学重点实验室
WELL-POSEDNESS OF ELECTROHYDRODYNAMIC INTERFACIAL WAVES UNDER TANGENTIAL ELECTRIC FIELD
Wang Z(王展)1,2,3; Yang JQ(杨佳琦)4
Corresponding AuthorWang, Zhan(zwang@imech.ac.cn)
Source PublicationSIAM JOURNAL ON MATHEMATICAL ANALYSIS
2021
Volume53Issue:2Pages:2567-2594
ISSN0036-1410
AbstractWe consider the motion of the interface between two inviscid, incompressible, and dielectric fluids with different densities and permittivities, in the presence of a uniform electric field acting in a direction parallel to the undisturbed configuration. The system is assumed to be irrotational except the interface where the discontinuity of the tangential velocity induces vorticity. In this paper, we establish the local existence and uniqueness theory for the initial-value problem in Sobolev spaces for interfacial electrohydrodynamics. As we show, this system is locally well-posed in both two and three dimensions when surface tension is taken into account. More importantly, the tangential electric field provides a significant stabilizing effect for the two-dimensional problem (with a one-dimensional interface) such that we can prove the local-in-time well-posedness for small data even if one neglects the surface tension.
Keywordwell-posedness electrohydrodynamics tangential electric
DOI10.1137/19M1285986
Indexed BySCI ; EI
Language英语
WOS IDWOS:000646035100041
WOS KeywordSURFACE-TENSION LIMIT ; FLUID INTERFACE ; EULER-EQUATIONS ; SOBOLEV SPACES ; WATER ; MOTION ; LIQUID
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
Funding ProjectStrategic Priority Research Program of the Chinese Academy of Sciences (CAS)[XDB22040203] ; Key Research Program of Frontier Sciences, CAS[QYZDBSSW-SYS015] ; CAS Center for Excellence in Complex System Mechanics
Funding OrganizationStrategic Priority Research Program of the Chinese Academy of Sciences (CAS) ; Key Research Program of Frontier Sciences, CAS ; CAS Center for Excellence in Complex System Mechanics
Classification二类
Ranking1
ContributorWang, Zhan
Citation statistics
Cited Times:2[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/86691
Collection流固耦合系统力学重点实验室
Affiliation1.Chinese Acad Sci, Inst Mech, Key Lab Mech Fluid Solid Coupling Syst, Beijing 100190, Peoples R China;
2.Univ Chinese Acad Sci, Sch Engn Sci, Beijing 100049, Peoples R China;
3.China Acad Engn Phys, Grad Sch, Beijing 100193, Peoples R China;
4.Northwestern Polytech Univ, Sch Math & Stat, Xian 710129, Peoples R China
Recommended Citation
GB/T 7714
Wang Z,Yang JQ. WELL-POSEDNESS OF ELECTROHYDRODYNAMIC INTERFACIAL WAVES UNDER TANGENTIAL ELECTRIC FIELD[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS,2021,53,2,:2567-2594.
APA 王展,&杨佳琦.(2021).WELL-POSEDNESS OF ELECTROHYDRODYNAMIC INTERFACIAL WAVES UNDER TANGENTIAL ELECTRIC FIELD.SIAM JOURNAL ON MATHEMATICAL ANALYSIS,53(2),2567-2594.
MLA 王展,et al."WELL-POSEDNESS OF ELECTROHYDRODYNAMIC INTERFACIAL WAVES UNDER TANGENTIAL ELECTRIC FIELD".SIAM JOURNAL ON MATHEMATICAL ANALYSIS 53.2(2021):2567-2594.
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