| WELL-POSEDNESS OF ELECTROHYDRODYNAMIC INTERFACIAL WAVES UNDER TANGENTIAL ELECTRIC FIELD | |
Wang Z(王展)1,2,3 ; Yang JQ(杨佳琦)4
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| Corresponding Author | Wang, Zhan([email protected]) |
| Source Publication | SIAM JOURNAL ON MATHEMATICAL ANALYSIS
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| 2021 | |
| Volume | 53Issue:2Pages:2567-2594 |
| ISSN | 0036-1410 |
| Abstract | We 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. |
| Keyword | well-posedness electrohydrodynamics tangential electric |
| DOI | 10.1137/19M1285986 |
| Indexed By | SCI ; EI |
| Language | 英语 |
| WOS ID | WOS:000646035100041 |
| WOS Keyword | SURFACE-TENSION LIMIT ; FLUID INTERFACE ; EULER-EQUATIONS ; SOBOLEV SPACES ; WATER ; MOTION ; LIQUID |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied |
| Funding Project | Strategic 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 Organization | Strategic 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 |
| Ranking | 1 |
| Contributor | Wang, Zhan |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/86691 |
| Collection | 流固耦合系统力学重点实验室 |
| Affiliation | 1.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.Rp_Au:Wang, Zhan |
| 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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| Jp2021F220.pdf（536KB） | 期刊论文 | 出版稿 | 开放获取 | CC BY-NC-SA | View Download | |
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