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

0537545 - MÚ 2021 RIV US eng J - Journal Article
Maity, D. - Raymond, J.-P. - Roy, Arnab
Maximal-in-time existence and uniqueness of strong solution of a 3D fluid-structure interaction model.
SIAM Journal on Mathematical Analysis. Roč. 52, č. 6 (2020), s. 6338-6378. ISSN 0036-1410. E-ISSN 1095-7154
Institutional support: RVO:67985840
Keywords : incompressible Navier-Stokes system * fluid-structure interaction system * strong solutions * nonlinear shell model
OECD category: Pure mathematics
Impact factor: 1.860, year: 2020
Method of publishing: Limited access
https://doi.org/10.1137/18M1178451

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.
Permanent Link: http://hdl.handle.net/11104/0315357