Well-posedness of axisymmetric nonlinear surface waves on a ferrofluid jet | |
Wang Z(王展); Yang JQ(杨佳琦) | |
刊名 | JOURNAL OF DIFFERENTIAL EQUATIONS |
2019-10-15 | |
卷号 | 267期号:9页码:5290-5317 |
关键词 | Ferrofluids Local well-posedness Axisymmetric |
ISSN号 | 0022-0396 |
DOI | 10.1016/j.jde.2019.05.030 |
英文摘要 | We consider free surface waves propagating on a ferrofluid jet under a radial magnetic field. The waves investigated are axisymmetric solutions of the Euler equations, formulated in cylindrical coordinates, for an incompressible and inviscid ferrofluid flowing irrotationally, which satisfy the generalized Young-Laplace equation with magnetic stresses included and the kinematic condition on the free surface. The main objective of the present study is to solve a basic question on the theoretical side, i.e. the local well-posedness issue. We establish local existence and uniqueness of solutions for the initial value problem in Sobolev spaces, which are achieved based on analyses of the radially symmetric Dirichlet-Neumann operator and energy method. (C) 2019 Elsevier Inc. All rights reserved. |
分类号 | 一类 |
资助项目 | Key Research Program of Frontier Sciences of CAS[QYZDBSSW-SYS015] ; Strategic Priority Research Program of the Chinese Academy of Sciences[XDB22040203] ; CAS Center for Excellence in Complex System Mechanics |
WOS关键词 | SOBOLEV SPACES ; TENSION LIMIT ; WATER-WAVES ; MOTION |
WOS研究方向 | Mathematics |
语种 | 英语 |
WOS记录号 | WOS:000480416600010 |
资助机构 | Key Research Program of Frontier Sciences of CAS ; Strategic Priority Research Program of the Chinese Academy of Sciences ; CAS Center for Excellence in Complex System Mechanics |
内容类型 | 期刊论文 |
源URL | [http://dspace.imech.ac.cn/handle/311007/79766] |
专题 | 力学研究所_流固耦合系统力学重点实验室(2012-) |
推荐引用方式 GB/T 7714 | Wang Z,Yang JQ. Well-posedness of axisymmetric nonlinear surface waves on a ferrofluid jet[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2019,267(9):5290-5317. |
APA | Wang Z,&Yang JQ.(2019).Well-posedness of axisymmetric nonlinear surface waves on a ferrofluid jet.JOURNAL OF DIFFERENTIAL EQUATIONS,267(9),5290-5317. |
MLA | Wang Z,et al."Well-posedness of axisymmetric nonlinear surface waves on a ferrofluid jet".JOURNAL OF DIFFERENTIAL EQUATIONS 267.9(2019):5290-5317. |
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