Rotating solutions to the incompressible Euler-Poisson equation with external particle

被引：0

作者：

Alonso-Oran, Diego ^{[1
,2
,3
]}

Kepka, Bernhard ^{[4
]}

Velazquez, J. L. ^{[4
]}

机构：

[1] Univ La Laguna, Dept Anal Matemat, San Cristobal la Laguna 38271, Spain

[2] Univ La Laguna, San Cristobal la Laguna 38271, Spain

[3] Univ La Laguna, Inst Matemat & Aplicac IMAULL, San Cristobal la Laguna 38271, Spain

[4] Univ Bonn, Inst Appl Math, Endenicher Allee 60, D-53115 Bonn, Germany

来源：

ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE | 2024年 / 42卷 / 01期

关键词：

Euler-Poisson equation; external particle; free-boundary problem; AXISYMMETRICAL SOLUTIONS; STEADY-STATES; EXISTENCE; FLOWS;

D O I：

10.4171/AIHPC/130

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a two-dimensional, incompressible fluid body, together with self-induced interactions. The body is perturbed by an external particle with small mass. The whole configuration rotates uniformly around the common center of mass. We construct solutions, which are stationary in a rotating coordinate system, using perturbative methods. In addition, we consider a large class of internal motions of the fluid. The angular velocity is related to the position of the external particle and is chosen to satisfy a non-resonance condition.

引用

页码：85 / 123

页数：39

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