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

  • Diego Alonso-Orán

    Universidad de La Laguna, La Laguna, Spain
  • Bernhard Kepka

    University of Bonn, Bonn, Germany
  • Juan J. L. Velázquez

    University of Bonn, Bonn, Germany
Rotating solutions to the incompressible Euler–Poisson equation with external particle cover

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Abstract

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.

Cite this article

Diego Alonso-Orán, Bernhard Kepka, Juan J. L. Velázquez, Rotating solutions to the incompressible Euler–Poisson equation with external particle. Ann. Inst. H. Poincaré C Anal. Non Linéaire (2024), published online first

DOI 10.4171/AIHPC/130