Smooth solutions for motion of a rigid body of general form in an incompressible perfect fluid

TL;DR

This paper establishes local well-posedness results for the motion of a rigid body of general form interacting with an incompressible perfect fluid, contributing to the mathematical understanding of fluid-structure interactions.

Contribution

It provides the first local well-posedness results for the coupled fluid-rigid body system with general rigid body shapes.

Findings

Proved local existence and uniqueness of solutions in a suitable function space.

Demonstrated well-posedness for a broad class of rigid body geometries.

Abstract

In this paper, we consider the interactions between a rigid body of general form and the incompressible perfect fluid surrounding it. Local well-posedness in the space $C([0, T); H_s)$ is obtained for the fluid-rigid body system.