WELL-POSEDNESS OF ELECTROHYDRODYNAMIC INTERFACIAL WAVES UNDER TANGENTIAL ELECTRIC FIELD
文献类型：期刊论文
| 作者 | Wang Z(王展)2,3,4 ; Yang JQ(杨佳琦)1
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| 刊名 | SIAM JOURNAL ON MATHEMATICAL ANALYSIS
 |
| 出版日期 | 2021 |
| 卷号 | 53期号:2页码:2567-2594 |
| 关键词 | well-posedness electrohydrodynamics tangential electric |
| ISSN号 | 0036-1410 |
| DOI | 10.1137/19M1285986 |
| 通讯作者 | Wang, Zhan(zwang@imech.ac.cn) |
| 英文摘要 | 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. |
| 分类号 | 二类 |
| WOS关键词 | SURFACE-TENSION LIMIT ; FLUID INTERFACE ; EULER-EQUATIONS ; SOBOLEV SPACES ; WATER ; MOTION ; LIQUID |
| 资助项目 | 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 |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000646035100041 |
| 资助机构 | 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 |
| 其他责任者 | Wang, Zhan |
| 源URL | [http://dspace.imech.ac.cn/handle/311007/86690]  |
| 专题 | 力学研究所_流固耦合系统力学重点实验室(2012-) |
| 作者单位 | 1.Northwestern Polytech Univ, Sch Math & Stat, Xian 710129, Peoples R China 2.China Acad Engn Phys, Grad Sch, Beijing 100193, Peoples R China; 3.Univ Chinese Acad Sci, Sch Engn Sci, Beijing 100049, Peoples R China; 4.Chinese Acad Sci, Inst Mech, Key Lab Mech Fluid Solid Coupling Syst, Beijing 100190, Peoples R China; |
| 推荐引用方式 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. |
入库方式： OAI收割
来源：力学研究所
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