Continuous dependence on initial data in fluid-structure motions

DOI10.1007/s00021-010-0031-0zbMath1294.35099OpenAlexW2053023881MaRDI QIDQ407411

Marcello Guidorzi, Giovanna Guidoboni, Mariarosaria Padula

Publication date: 1 September 2014

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

Full work available at URL: https://doi.org/10.1007/s00021-010-0031-0

zbMATH Keywords

uniquenessa priori estimatesfluid-structure interactionincompressible fluids

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (13)

On the existence of weak solution to the coupled fluid-structure interaction problem for non-Newtonian shear-dependent fluid ⋮ A nonlinear fluid-structure interaction problem in compliant arteries treated with vascular stents ⋮ Weak-Strong Uniqueness for an Elastic Plate Interacting with the Navier--Stokes Equation ⋮ Mathematical and Numerical Analysis of Some FSI Problems ⋮ Fluid–Structure Interaction in Hemodynamics: Modeling, Analysis, and Numerical Simulation ⋮ A fluid-structure model coupling the Navier-Stokes equations and the Lamé system ⋮ Compressible fluids interacting with plates: regularity and weak-strong uniqueness ⋮ 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 ⋮ Moving boundary problems ⋮ \(L^p\) theory for the interaction between the incompressible Navier-Stokes system and a damped plate ⋮ On the convergence of fixed point iterations for the moving geometry in a fluid-structure interaction problem ⋮ Analysis of a Coupled Fluid-Structure Model with Applications to Hemodynamics ⋮ On the existence of strong solutions to a fluid structure interaction problem with Navier boundary conditions

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