Maximal-in-Time Existence and Uniqueness of Strong Solution of a 3D Fluid-Structure Interaction Model | Zendy

Debayan Maity | Zendy; JeanPierre Raymond | Zendy; Arnab Roy | Zendy

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Maximal-in-Time Existence and Uniqueness of Strong Solution of a 3D Fluid-Structure Interaction Model

Author(s) -

Debayan Maity,

JeanPierre Raymond,

Arnab Roy

Publication year - 2020

Publication title -

siam journal on mathematical analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.882

H-Index - 92

eISSN - 1095-7154

pISSN - 0036-1410

DOI - 10.1137/18m1178451

Subject(s) - uniqueness , domain (mathematical analysis) , compressibility , work (physics) , fluid–structure interaction , coupling (piping) , boundary (topology) , mathematical analysis , weak solution , type (biology) , mathematics , boundary value problem , physics , shell (structure) , mechanics , finite element method , materials science , geology , thermodynamics , paleontology , metallurgy , composite material

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.

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