A nonlinear, 3D fluid-structure interaction problem driven by the time-dependent dynamic pressure data: a constructive existence proof
From MaRDI portal
Publication:2253765
DOI10.4310/CIS.2013.v13.n3.a4zbMath1323.35223OpenAlexW2335104466MaRDI QIDQ2253765
Publication date: 12 February 2015
Published in: Communications in Information and Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4310/cis.2013.v13.n3.a4
Navier-Stokes equations (35Q30) Moving boundary problems for PDEs (35R37) Initial-boundary value problems for mixed-type systems of PDEs (35M33)
Related Items (23)
Existence of a weak solution to a fluid-elastic structure interaction problem with the Navier slip boundary condition ⋮ Controllability of a Stokes system with a diffusive boundary condition ⋮ A nonlinear fluid-structure interaction problem in compliant arteries treated with vascular stents ⋮ Weak solution to the incompressible viscous fluid and a thermoelastic plate interaction problem in 3D ⋮ Maximal regularity for the Stokes system coupled with a wave equation: application to the system of interaction between a viscous incompressible fluid and an elastic wall ⋮ Fluid–Structure Interaction in Hemodynamics: Modeling, Analysis, and Numerical Simulation ⋮ Controllability of a fluid-structure interaction system coupling the Navier-Stokes system and a damped beam equation ⋮ Well-posedness of solutions to stochastic fluid-structure interaction ⋮ Unrestricted deformations of thin elastic structures interacting with fluids ⋮ Analysis of a 3D nonlinear, moving boundary problem describing fluid-mesh-shell interaction ⋮ Maximal-in-Time Existence and Uniqueness of Strong Solution of a 3D Fluid-Structure Interaction Model ⋮ On the existence and the uniqueness of the solution to a fluid-structure interaction problem ⋮ Analysis of a linear 3D fluid-mesh-shell interaction problem ⋮ Moving boundary problems ⋮ On the convergence of fixed point iterations for the moving geometry in a fluid-structure interaction problem ⋮ Existence of a weak solution to the fluid-structure interaction problem in 3D ⋮ A partitioned scheme for fluid-composite structure interaction problems ⋮ Global weak solutions for an newtonian fluid interacting with a Koiter type shell under natural boundary conditions ⋮ A stochastically perturbed fluid-structure interaction problem modeled by a stochastic viscous wave equation ⋮ Existence of strong solutions for a system of interaction between a compressible viscous fluid and a wave equation* ⋮ A partitioned numerical scheme for fluid–structure interaction with slip ⋮ Deterministic ill-posedness and probabilistic well-posedness of the viscous nonlinear wave equation describing fluid-structure interaction ⋮ Well-Posedness Analysis for a Linearization of a Fluid-Elasticity Interaction
This page was built for publication: A nonlinear, 3D fluid-structure interaction problem driven by the time-dependent dynamic pressure data: a constructive existence proof