Fluid-poroviscoelastic structure interaction problem with nonlinear geometric coupling
From MaRDI portal
Publication:6573746
DOI10.1016/J.MATPUR.2024.06.004MaRDI QIDQ6573746
Sunčica Čanić, Jeffrey Kuan, Boris Muha
Publication date: 17 July 2024
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Flows in porous media; filtration; seepage (76S05) PDEs in connection with mechanics of deformable solids (35Q74)
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
- Analysis of nonlinear poro-elastic and poro-visco-elastic models
- A fluid-structure model coupling the Navier-Stokes equations and the Lamé system
- A poroelastic model for the perfusion of the lamina cribrosa in the optic nerve head
- A note on the trace theorem for domains which are locally subgraph of a Hölder continuous function
- Traces, extensions and co-normal derivatives for elliptic systems on Lipschitz domains
- Navier-Stokes/Darcy coupling: modeling, analysis, and numerical approximation
- Coupling Biot and Navier-Stokes equations for modelling fluid-poroelastic media interaction
- Solutions to a fluid-structure interaction free boundary problem
- Compact families of piecewise constant functions in \(L^p (0,T;B)\)
- Existence of weak solutions for the unsteady interaction of a viscous fluid with an elastic plate
- The interaction between quasilinear elastodynamics and the Navier-Stokes equations
- Strong solutions for a fluid structure interaction system
- On nonlinear Biot's consolidation models
- Homogenization of reticulated structures
- Partially saturated flow in a poroelastic medium
- On the existence of strong solutions to a coupled fluid-structure evolution problem
- Diffusion in poro-elastic media
- A generalization of the Aubin-Lions-Simon compactness lemma for problems on moving domains
- Analysis of the coupled Navier-Stokes/Biot problem
- Motion of an elastic solid inside an incompressible viscous fluid
- Existence of a weak solution to a nonlinear fluid-structure interaction problem modeling the flow of an incompressible, viscous fluid in a cylinder with deformable walls
- Nonlinear quasi-static poroelasticity
- Weak solutions in nonlinear poroelasticity with incompressible constituents
- Fluid-structure interaction with incompressible fluids
- A nonlinear, 3D fluid-structure interaction problem driven by the time-dependent dynamic pressure data: a constructive existence proof
- Existence of a solution to a fluid-multi-layered-structure interaction problem
- A multiscale Darcy-Brinkman model for fluid flow in fractured porous media
- Weak solutions for an incompressible Newtonian fluid interacting with a Koiter type shell
- General theory of three-dimensional consolidation.
- A uniqueness result for 3D incompressible fluid-rigid body interaction problem
- On well-posedness for a free boundary fluid-structure model
- Mathematical and Numerical Analysis of Some FSI Problems
- A Galerkin Method for Biot Consolidation Model
- Existence of Strong Solutions to a Fluid-Structure System
- The existence and uniqueness theorem in Biot's consolidation theory
- Theory of Elasticity and Consolidation for a Porous Anisotropic Solid
- Navier–Stokes Equations Interacting with a Nonlinear Elastic Biofluid Shell
- Smoothness of weak solutions to a nonlinear fluid-structure interaction model
- Existence of Weak Solutions for the Unsteady Interaction of a Viscous Fluid with an Elastic Plate
- On The Interface Boundary Condition of Beavers, Joseph, and Saffman
- Weak-strong uniqueness for fluid-rigid body interaction problem with slip boundary condition
- A Next-Generation Mathematical Model for Drug-Eluting Stents
- Numerical Modeling of the Fluid-Porohyperelastic Structure Interaction
- Weak-Strong Uniqueness for an Elastic Plate Interacting with the Navier--Stokes Equation
- Multilayered Poroelasticity Interacting with Stokes Flow
- A nonlinear Stokes–Biot model for the interaction of a non-Newtonian fluid with poroelastic media
- A lubrication fracture model in a poro-elastic medium
- The Interaction of the 3D Navier–Stokes Equations with a Moving Nonlinear Koiter Elastic Shell
- A mathematical model of intestinal oedema formation
- On well-posedness and small data global existence for an interface damped free boundary fluid–structure model
- The Mathematical Theory of Finite Element Methods
- Fluid-structure interaction between an incompressible, viscous 3D fluid and an elastic shell with nonlinear Koiter membrane energy
- Mathematical effects of linear visco-elasticity in quasi-static Biot models
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
This page was built for publication: Fluid-poroviscoelastic structure interaction problem with nonlinear geometric coupling
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6573746)