Smoothness of weak solutions to a nonlinear fluid-structure interaction model

From MaRDI portal
Publication:3520520

DOI10.1512/iumj.2008.57.3284zbMath1147.74016OpenAlexW2015380560MaRDI QIDQ3520520

Viorel Barbu, Irena Lasiecka, Amjad M. Tuffaha, Zoran Grujić

Publication date: 26 August 2008

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/f2c1c0f0eb30d2348dfe78fee3466486854e353e




Related Items

Existence of a weak solution to a fluid-elastic structure interaction problem with the Navier slip boundary conditionA fluid-structure interaction model with interior damping and delay in the structureStrong solutions to a nonlinear fluid structure interaction systemA nonlinear fluid-structure interaction problem in compliant arteries treated with vascular stentsA global attractor for a fluid-plate interaction model accounting only for longitudinal deformations of the plateOptimal control of a linear unsteady fluid-structure interaction problemGlobal uniform stabilization to nontrivial equilibrium of a nonlinear fluid viscoelastic-structure interactionOptimal boundary control with critical penalization for a PDE model of fluid-solid interactionsThe motion of the rigid body in the viscous fluid including collisions. Global solvability resultRiccati theory and singular estimates for a Bolza control problem arising in linearized fluid-structure interactionInterface stabilization of a parabolic-hyperbolic PDE system with delay in the interactionFeedback stabilization of a linear hydro-elastic systemFluid–Structure Interaction in Hemodynamics: Modeling, Analysis, and Numerical SimulationA fluid-structure model coupling the Navier-Stokes equations and the Lamé systemUniform stabilization to equilibrium of a nonlinear fluid-structure interaction modelNote on the global wellposedness of two-dimensional incompressible Navier-Stokes fluid structure interaction modelOn a Model of an Elastic Body Fully Immersed in a Viscous Incompressible Fluid with Small DataFluid-plate interaction with Kelvin-Voigt damping and bending moment at the interface: well-posedness, spectral analysis, uniform stabilityStochastic porous media equations and self-organized criticality: Convergence to the critical state in all dimensionsHeat-viscoelastic plate interaction via bending moment and shear forces operators: analyticity, spectral analysis, exponential decayBoundary feedback stabilization of a coupled parabolic-hyperbolic Stokes-Lamé PDE systemWell-posedness of solutions to stochastic fluid-structure interactionExistence of a weak solution to a nonlinear fluid-structure interaction problem modeling the flow of an incompressible, viscous fluid in a cylinder with deformable wallsGlobal well-posedness and exponential decay for a fluid-structure model with small dataSmall data global existence for a fluid-structure modelAsymptotic stability of finite energy in Navier Stokes-elastic wave interactionAnalysis of a 3D nonlinear, moving boundary problem describing fluid-mesh-shell interactionHeat-viscoelastic plate interaction: analyticity, spectral analysis, exponential decayInterface feedback control stabilization of a nonlinear fluid-structure interactionMoving boundary problemsThe fluid-structure interaction model with both control and disturbance at the interface: a game theory problem via an abstract approachThe analyticity and exponential decay of a Stokes-wave coupling system with viscoelastic damping in the variational frameworkExistence and uniqueness of solutions to the stochastic porous media equations of saturated flowsEight(y) mathematical questions on fluids and structuresStochastic porous media equations and self-organized criticalityA note on optimal regularity and regularizing effects of point mass coupling for a heat-wave systemHeat-wave interaction in 2-3 dimensions: optimal rational decay rateThe Global Random Attractor for a Class of Stochastic Porous Media EquationsAnalysis of shape optimization problems for unsteady fluid-structure interactionA stochastically perturbed fluid-structure interaction problem modeled by a stochastic viscous wave equationOn the differentiability of fluid-structure interaction problems with respect to the problem dataSharp trace regularity for an anisotropic elasticity systemAnalysis of a nonlinear fluid-structure interaction model with mechanical dissipation and delayRiccati equations for generalized singular estimate control systemsA partitioned numerical scheme for fluid–structure interaction with slipDeterministic ill-posedness and probabilistic well-posedness of the viscous nonlinear wave equation describing fluid-structure interactionExplicit decay rate for a degenerate hyperbolic-parabolic coupled systemOn well-posedness for a free boundary fluid-structure model