The motion of a rigid body and a viscous fluid in a bounded domain in presence of collisions

2017/06/17 by Nikolai V. Chemetov, Šárka Nečasová, Chemetov, Nikolai V. +1
Computer Science · Engineering · Mathematics · #35Q30 #76D05 #76D07 #76N10 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.1706.05529

openalex publication_date 2017/06/17 · openalex created_date 2017/06/30 · openalex updated_date 2026/07/28

Abstract

We consider the motion of a rigid body, governed by the Navier-Stokes equations in a bounded domain. Navier's condition is prescribed on the boundary of the body. We give the global in a time solvability result of weak solution. The result permits a possibility of collisions of the body with the boundary of the domain.

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