Existence of strong solutions to a fluid-structure system with a structure given by a finite number of parameters

DOI10.1051/m2an/2019059zbMath1434.74048OpenAlexW2971004952MaRDI QIDQ5110264

Guillaume Delay

Publication date: 18 May 2020

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/m2an/2019059

zbMATH Keywords

Navier-Stokes equationsstrong solutionsfluid-structure interactiondeformable structure

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Existence of solutions of dynamical problems in solid mechanics (74H20) Uniqueness of solutions of dynamical problems in solid mechanics (74H25) Regularity of solutions of dynamical problems in solid mechanics (74H30)

Related Items

Local Stabilization of a Fluid--Structure System around a Stationary State with a Structure Given by a Finite Number of Parameters

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A fluid-structure model coupling the Navier-Stokes equations and the Lamé system
• Stabilization of a fluid-rigid body system
• On the interaction problem between a compressible fluid and a Saint-Venant Kirchhoff elastic structure
• Existence of solutions for the equations modeling the motion of rigid bodies in an ideal fluid
• Weak solutions for the motion of a self-propelled deformable structure in a viscous incompressible fluid
• Regular solutions of a problem coupling a compressible fluid and an elastic structure
• Existence of weak solutions for the unsteady interaction of a viscous fluid with an elastic plate
• Representation and control of infinite dimensional systems
• An initial and boundary value problem modeling of fish-like swimming
• A regularity result for a solid-fluid system associated to the compressible Navier-Stokes equations
• Semigroups of linear operators and applications to partial differential equations
• Global weak solutions for the two-dimensional motion of several rigid bodies in an incompressible viscous fluid
• On the existence of strong solutions to a coupled fluid-structure evolution problem
• Analysis of a system modelling the motion of a piston in a viscous gas
• Existence of strong solutions for the motion of an elastic structure in an incompressible viscous fluid
• Stokes and Navier-Stokes equations with nonhomogeneous boundary conditions
• Analysis of strong solutions for the equations modeling the motion of a rigid-fluid system in a bounded domain
• Existence of weak solutions for the three-dimensional motion of an elastic structure in an incompressible fluid
• Boundary Stabilization of the Navier--Stokes Equations in the Case of Mixed Boundary Conditions
• An Introduction to the Mathematical Theory of the Navier-Stokes Equations
• Existence of Strong Solutions to a Fluid-Structure System
• Existence for an Unsteady Fluid-Structure Interaction Problem
• Fluid-Rigid Structure Interaction System with Coulomb's Law
• Computational Fluid–Structure Interaction
• Single input controllability of a simplified fluid-structure interaction model
• MULTISCALE MODELING OF THE RESPIRATORY TRACT
• Lack of Collision Between Solid Bodies in a 2D Incompressible Viscous Flow