Regular solutions of a problem coupling a compressible fluid and an elastic structure
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Publication:710543
DOI10.1016/j.matpur.2010.04.002zbMath1426.76651OpenAlexW2118015867MaRDI QIDQ710543
Muriel Boulakia, Sergio Guerrero
Publication date: 19 October 2010
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Full work available at URL: https://hal.inria.fr/hal-00648710/file/comp-BG2.pdf
Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)
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Cites Work
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- Existence of weak solutions for the unsteady interaction of a viscous fluid with an elastic plate
- A regularity result for a solid-fluid system associated to the compressible Navier-Stokes equations
- On the first initial-boundary value problem of compressible viscous fluid motion
- On the motion of rigid bodies in a viscous compressible fluid
- On the existence of strong solutions to a coupled fluid-structure evolution problem
- Motion of an elastic solid inside an incompressible viscous fluid
- Global solutions of the Navier-Stokes equations for multidimensional compressible flow with discontinuous initial data
- Strong convergence to global solutions for multidimensional flows of compressible, viscous fluids with polytropic equations of state and discontinuous initial data
- 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
- Existence of Weak Solutions for the Unsteady Interaction of a Viscous Fluid with an Elastic Plate
- Collisions in Three-Dimensional Fluid Structure Interaction Problems
- Existence of solutions for the equations
- Existence for an Unsteady Fluid-Structure Interaction Problem
- On Weak Solutions for Fluid‐Rigid Structure Interaction: Compressible and Incompressible Models
- Lack of Collision Between Solid Bodies in a 2D Incompressible Viscous Flow
- Existence of weak solutions for an interaction problem between an elastic structure and a compressible viscous fluid
- On the existence of globally defined weak solutions to the Navier-Stokes equations
- Weak solutions for a fluid-elastic structure interaction model
