Maximal-in-Time Existence and Uniqueness of Strong Solution of a 3D Fluid-Structure Interaction Model
Debayan Maity, Jean‐Pierre Raymond, Arnab Roy
Abstract
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.
Topics & Concepts
UniquenessDomain (mathematical analysis)CompressibilityWork (physics)Fluid–structure interactionCoupling (piping)Boundary (topology)Mathematical analysisWeak solutionType (biology)MathematicsBoundary value problemPhysicsShell (structure)MechanicsFinite element methodMaterials scienceGeologyThermodynamicsMetallurgyPaleontologyComposite materialNavier-Stokes equation solutionsStability and Controllability of Differential EquationsAdvanced Mathematical Modeling in Engineering