On the existence of strong solutions to a fluid structure interaction problem with Navier boundary conditions

DOI10.1007/s00021-019-0440-7zbMath1421.35242OpenAlexW2924549846WikidataQ127651057 ScholiaQ127651057MaRDI QIDQ2318076

Imene Aicha Djebour, Takéo Takahashi

Publication date: 13 August 2019

Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00021-019-0440-7

zbMATH Keywords

strong solutionsdamped beam equationNavier-Stokes system

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Plates (74K20) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Strong solutions to PDEs (35D35)

Related Items (5)

Existence of a weak solution to a steady 2D fluid-1D elastic structure interaction problem with Tresca slip boundary condition ⋮ Remote trajectory tracking of rigid bodies immersed in a two-dimensional perfect incompressible fluid ⋮ Weak-Strong Uniqueness for an Elastic Plate Interacting with the Navier--Stokes Equation ⋮ Gevrey Regularity for a System Coupling the Navier--Stokes System with a Beam Equation ⋮ Existence of strong solutions for a system of interaction between a compressible viscous fluid and a wave equation^*

Cites Work

• Existence of a weak solution to a fluid-elastic structure interaction problem with the Navier slip boundary condition
• Existence of global strong solutions to a beam-fluid interaction system
• Continuous dependence on initial data in fluid-structure motions
• The influence of boundary conditions on the contact problem in a 3D Navier-Stokes flow
• Feedback boundary stabilization of 2D fluid-structure interaction systems
• Stokes and Navier-Stokes equations with Navier boundary condition
• Representation and control of infinite dimensional systems
• Finite element approximation of incompressible Navier-Stokes equations with slip boundary condition
• Proof of extensions of two conjectures on structural damping for elastic systems
• 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
• On the ``viscous incompressible fluid + rigid body system with Navier conditions
• Finite-element approximation of viscoelastic fluid flow with slip boundary condition
• Regularity for Stokes and generalized Stokes systems under nonhomogeneous slip-type boundary conditions
• Energy equality and uniqueness of weak solutions of a ``viscous incompressible fluid \(+\) rigid body system with Navier slip-with-friction conditions in a 2D bounded domain
• Strong solutions for the fluid–solid systems in a 2-D domain
• Feedback Stabilization of a Fluid-Structure Model
• Existence of Strong Solutions to a Fluid-Structure System
• Coating flow theory by finite element and asymptotic analysis of the navier-stokes system
• On theLp–Lq maximal regularity for Stokes equations with Robin boundary condition in a bounded domain
• HOPF SOLUTIONS TO A FLUID-ELASTIC INTERACTION MODEL
• Collisions in Three-Dimensional Fluid Structure Interaction Problems
• Fluid-Rigid Structure Interaction System with Coulomb's Law
• Korn’s Inequalities and Their Applications in Continuum Mechanics
• Well-posedness for the coupling between a viscous incompressible fluid and an elastic structure
• Lack of Collision Between Solid Bodies in a 2D Incompressible Viscous Flow
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