Periodic motions of fluid particles induced by a prescribed vortex path in a circular domain

PHYSICA D-NONLINEAR PHENOMENA

卷:261

Article

Boscaggin, Alberto¹  Torres, Pedro J.² 

[1] SISSA Int Sch Adv Studies, I-34136 Trieste, Italy

[2] Univ Granada, Dept Matemat Aplicada, E-18071 Granada, Spain

关键词: Particle transport;    Ideal fluid;    Vortex;    Periodic orbit;    Poincare-Birkhoff theorem;   

DOI  :  10.1016/j.physd.2013.07.004

来源: Elsevier

【 摘 要 】

By means of a generalized version of the Poincare-Birkhoff theorem, we prove the existence and multiplicity of periodic solutions for a Hamiltonian system modeling the evolution of advected particles in a two-dimensional ideal fluid inside a circular domain and under the action of a point vortex with prescribed periodic trajectory. (C) 2013 Elsevier B.V. All rights reserved.

【 授权许可】

Free