Strong Solutions to the Problem of Motion of a Rigid Body in a Navier—Stokes Liquid under the Action of Prescribed Forces and Torques

Abstract

This paper is devoted to the motion of a rigid body in an infinite Navier-Stokes liquid under the action of external forces and torques. For sufficiently regular data, we prove the existence of a local strong solution to the corresponding initial-boundary-value problem for the system body-liquid.