Maximal-in-time existence and uniqueness of strong solution of a 3d fluid-structure interaction model

Debayan Maity (1) , Jean-Pierre Raymond (2) , Arnab Roy (3)

1 TIFR-CAM - Center for Applicable Mathematics [Bangalore]
2 IMT - Institut de Mathématiques de Toulouse UMR5219
3 IM / CAS - Institute of Mathematics of the Czech Academy of Science

In this work, we study a system coupling the incompressible Navier-Stokes equations in a cylindrical type domain with an elastic structure, governed by a damped shell equation, located at the lateral boundary of the domain occupied by the fluid. We prove the existence of a unique maximal strong solution.

Domaines: Equations aux dérivées partielles [math.AP]

Debayan Maity, Jean-Pierre Raymond, Arnab Roy. Maximal-in-time existence and uniqueness of strong solution of a 3d fluid-structure interaction model. SIAM Journal on Mathematical Analysis, 2020. ⟨hal-02912001⟩