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Uniqueness and regularity of weak solutions of a fluid-rigid body interaction system under the Prodi-Serrin condition

Uniqueness and regularity of weak solutions of a fluid-rigid body interaction system under the Prodi-Serrin condition

In this article, we study the weak uniqueness and the regularity of the weak solutions of a fluid-structure interaction system. More precisely, we consider the motion of a rigid ball in a viscous incompressible fluid and we assume that the fluid-rigid body system fills the entire space $ \mathbb{R}^{3}. $ …