Strong solutions in $L^2$ framework for fluid-rigid body interaction problem - mixed case

TL;DR

This paper investigates the existence and uniqueness of strong solutions in an $L^2$ framework for fluid-rigid body interaction problems with mixed boundary conditions, advancing understanding of such coupled systems.

Contribution

It establishes well-posedness results for strong solutions in the $L^2$ setting under mixed boundary conditions, a novel contribution to fluid-structure interaction theory.

Findings

Proves existence of strong solutions under mixed boundary conditions.

Demonstrates uniqueness and stability of solutions.

Extends previous results to more general boundary conditions.

Abstract

The paper deals with the well-posedness of the strong solution of fluid-structure interaction problem when the mixed boundary conditions are considered.