SINGULARITIES OF CAPILLARY-GRAVITY WAVES ON DIELECTRIC FLUID UNDER NORMAL ELECTRIC FIELDS
文献类型：期刊论文
| 作者 | Gao, Tao4; Wang Z(王展)2,3 ; Papageorgiou, Demetrios1
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| 刊名 | SIAM JOURNAL ON APPLIED MATHEMATICS
 |
| 出版日期 | 2024 |
| 卷号 | 84期号:2页码:523-542 |
| 关键词 | Key words. capillary-gravity surface waves singularity electrohydro dynamics |
| ISSN号 | 0036-1399 |
| DOI | 10.1137/23M1575743 |
| 通讯作者 | Gao, Tao(t.gao@essex.ac.uk) |
| 英文摘要 | As summarized by Papageorgiou [ Annu. Rev. Fluid Mech., 51 (2019), pp. 155--187], a strong normal electric field can cause instability of the interface in a hydrodynamic system. In the present work, singularities arising in electrocapillary-gravity waves on a dielectric fluid of finite depth due to an electric field imposed in the direction perpendicular to the undisturbed free surface are investigated. In shallow water, for a small-amplitude periodic disturbance in the linearly unstable regime, the outcome of the system evolution is that the gas-liquid interface touches the solid bottom boundary, causing a rupture. A quasi-linear hyperbolic model is derived for the long-wave limit and used to study the formation of the touch-down singularity. The theoretical predictions are compared with the fully nonlinear computations by a time-dependent conformal mapping for the electrified Euler equations, showing good agreement. On the other hand, a nonlinear dispersive model system is derived for the deep-water scenario, which predicts the blowup singularity (i.e., the wave amplitude tends to infinity in a finite time). However, when the fluid thickness is significantly large, one can numerically show the self-intersection nonphysical wave structure or 2/3 power cusp singularity in the full Euler equations. |
| 分类号 | 二类/Q1 |
| WOS关键词 | NONLINEAR DYNAMICS ; SOLITARY WAVES ; INTERFACE ; FLOWS |
| 资助项目 | National Science Foundation for Distinguished Young Scholars[12325207] ; Key Program of the National Natural Science Foundation of China[12132018] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:001292061100003 |
| 资助机构 | National Science Foundation for Distinguished Young Scholars ; Key Program of the National Natural Science Foundation of China |
| 其他责任者 | Gao, Tao |
| 源URL | [http://dspace.imech.ac.cn/handle/311007/96331]  |
| 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.Imperial Coll London, Dept Math, London SW7 2AZ, England 2.Univ Chinese Acad Sci, Sch Engn Sci, Beijing 100049, Peoples R China; 3.Chinese Acad Sci, Inst Mech, Beijing 100190, Peoples R China; 4.Univ Essex, Sch Math Stat & Actuarial Sci, Colchester CO4 3SQ, England; |
| 推荐引用方式 GB/T 7714 | Gao, Tao,Wang Z,Papageorgiou, Demetrios. SINGULARITIES OF CAPILLARY-GRAVITY WAVES ON DIELECTRIC FLUID UNDER NORMAL ELECTRIC FIELDS[J]. SIAM JOURNAL ON APPLIED MATHEMATICS,2024,84(2):523-542. |
| APA | Gao, Tao,王展,&Papageorgiou, Demetrios.(2024).SINGULARITIES OF CAPILLARY-GRAVITY WAVES ON DIELECTRIC FLUID UNDER NORMAL ELECTRIC FIELDS.SIAM JOURNAL ON APPLIED MATHEMATICS,84(2),523-542. |
| MLA | Gao, Tao,et al."SINGULARITIES OF CAPILLARY-GRAVITY WAVES ON DIELECTRIC FLUID UNDER NORMAL ELECTRIC FIELDS".SIAM JOURNAL ON APPLIED MATHEMATICS 84.2(2024):523-542. |
入库方式： OAI收割
来源：力学研究所
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