Uniqueness and regularity of weak solutions of a fluid-rigid body interaction system under the Prodi-Serrin condition
DOI10.3934/dcds.2023123zbMath1530.35228MaRDI QIDQ6146605
Debayan Maity, Takéo Takahashi
Publication date: 15 January 2024
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Weak solutions to PDEs (35D30) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
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