2023/02/02 by Diego Alonso-Orán, Alonso-Orán, Diego, Bernhard Kepka +3
Engineering · Mathematics · #35Q35 (Primary) 35Q31 #76B07 (Secondary) #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics and Turbulent Flows #Mathematical Physics (math-ph) #Navier-Stokes equation solutions #Particle Dynamics in Fluid Flows
paper · pdf · doi:10.48550/arxiv.2302.01146
openalex publication_date 2023/02/02 · openalex created_date 2023/02/04 · openalex updated_date 2026/07/28
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.