A global attractor for a fluid-plate interaction model accounting only for longitudinal deformations of the plate

DOI10.1002/mma.1496zbMath1230.35084arXiv1002.3127OpenAlexW2137772895MaRDI QIDQ3174257

Igor D. Chueshov

Publication date: 12 October 2011

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1002.3127

zbMATH Keywords

attractorviscosityinteractionfluid structurefinite dimensional attractorelastic plate equationlinearized 3D Navier-Stokes equation

Mathematics Subject Classification ID

Attractors (35B41) Navier-Stokes equations for incompressible viscous fluids (76D05) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Navier-Stokes equations (35Q30)

Related Items (11)

Dynamics of a nonlinear elastic plate interacting with a linearized compressible viscous fluid ⋮ On interaction of circular cylindrical shells with a Poiseuille type flow ⋮ Long-time behaviour of a radially symmetric fluid-shell interaction system ⋮ Long time behaviour of strong solutions to interactive fluid-plate system without rotational inertia ⋮ On the interaction of an elastic wall with a Poiseuille-type flow ⋮ Fluid structure interaction problem with changing thickness beam and slightly compressible fluid ⋮ A mixed variational formulation for the wellposedness and numerical approximation of a PDE model arising in a 3-D fluid-structure interaction ⋮ Interaction of an elastic plate with a linearized inviscid incompressible fluid ⋮ Uniform exponential stability of a fluid-plate interaction model due to thermal effects ⋮ The role of magnetic fields in the strong stabilization of a hybrid magneto-elastic structure ⋮ Stochastic dynamics in a fluid-plate interaction model with the only longitudinal deformations of the plate

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