| SINGULARITIES OF CAPILLARY-GRAVITY WAVES ON DIELECTRIC FLUID UNDER NORMAL ELECTRIC FIELDS | |
Gao, Tao1; Wang Z(王展)2,3 ; Papageorgiou, Demetrios4
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| Corresponding Author | Gao, Tao([email protected]) |
| Source Publication | SIAM JOURNAL ON APPLIED MATHEMATICS
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| 2024 | |
| Volume | 84Issue:2Pages:523-542 |
| ISSN | 0036-1399 |
| Abstract | 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. |
| Keyword | Key words. capillary-gravity surface waves singularity electrohydro dynamics |
| DOI | 10.1137/23M1575743 |
| Indexed By | SCI ; EI |
| Language | 英语 |
| WOS ID | WOS:001292061100003 |
| WOS Keyword | NONLINEAR DYNAMICS ; SOLITARY WAVES ; INTERFACE ; FLOWS |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied |
| Funding Project | National Science Foundation for Distinguished Young Scholars[12325207] ; Key Program of the National Natural Science Foundation of China[12132018] |
| Funding Organization | National Science Foundation for Distinguished Young Scholars ; Key Program of the National Natural Science Foundation of China |
| Classification | 二类/Q1 |
| Ranking | 2 |
| Contributor | Gao, Tao |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/96332 |
| Collection | 流固耦合系统力学重点实验室 |
| Affiliation | 1.Univ Essex, Sch Math Stat & Actuarial Sci, Colchester CO4 3SQ, England; 2.Chinese Acad Sci, Inst Mech, Beijing 100190, Peoples R China; 3.Univ Chinese Acad Sci, Sch Engn Sci, Beijing 100049, Peoples R China; 4.Imperial Coll London, Dept Math, London SW7 2AZ, England |
| Recommended Citation 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.Rp_Au:Gao, Tao |
| 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. |
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