期刊
COMMUNICATIONS IN MATHEMATICAL PHYSICS
卷 341, 期 3, 页码 1015-1065出版社
SPRINGER
DOI: 10.1007/s00220-015-2489-3
关键词
-
资金
- project Instabilities in Hydrodynamics - Paris City Hall (program Emergences)
- Fondation Sciences Mathematiques de Paris
- Agence Nationale de la Recherche, Project DYFICOLTI [ANR-13-BS01-0003-01]
In this paper we consider the motion of a rigid body immersed in a two dimensional unbounded incompressible perfect fluid with vorticity. We prove that when the body shrinks to a massless pointwise particle with fixed circulation, the fluid+rigid body system converges to the vortex-wave system introduced by Marchioro and Pulvirenti (Mathematical theory of incompressible nonviscous fluids. Applied Mathematical Sciences 96, Springer-Verlag, 1994). This extends both the paper (Glass et al. Bull Soc Math France 142(3):489-536, 2014) where the case of a solid tending to a massive pointwise particle was tackled and the paper (Glass et al. Dynamics of a point vortex as limits of a shrinking solid in an irrotational fluid, 2014) where the massless case was considered but in a bounded cavity filled with an irrotational fluid.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据