Flow-plate interactions: well-posedness and long-time behavior
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Publication:478880
DOI10.3934/dcdss.2014.7.925zbMath1304.35114arXiv1311.1500OpenAlexW2027338419MaRDI QIDQ478880
Irena Lasiecka, Igor D. Chueshov, Justin T. Webster
Publication date: 5 December 2014
Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1311.1500
well-posednessnonlinear semigroupsglobal attractorsKutta-Joukowsky flow conditionsNeumann type flow conditionsPDE with delaysubsonic and supersonic flow
Attractors (35B41) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Plates (74K20) PDEs in connection with mechanics of deformable solids (35Q74)
Related Items (16)
Nonlinear elastic plate in a flow of gas: recent results and conjectures ⋮ Dynamics of a nonlinear elastic plate interacting with a linearized compressible viscous fluid ⋮ Remark on an elastic plate interacting with a gas in a semi-infinite tube: periodic solutions ⋮ Attractors for Delayed, Nonrotational von Karman Plates with Applications to Flow-Structure Interactions Without any Damping ⋮ Semigroup well-posedness of a linearized, compressible fluid with an elastic boundary ⋮ Semigroup wellposedness and asymptotic stability of a compressible Oseen–structure interaction via a pointwise resolvent criterion ⋮ Well-posedness for incompressible fluid-solid interaction with vorticity ⋮ An inviscid free boundary fluid-wave model ⋮ Attractors for a fluid-structure interaction problem in a time-dependent phase space ⋮ Eliminating flutter for clamped von Karman plates immersed in subsonic flows ⋮ Stabilization of a nonlinear flow-plate interaction via component-wise decomposition ⋮ Feedback Stabilization of a Fluttering Panel in an Inviscid Subsonic Potential Flow ⋮ A thorough look at the (in)stability of piston-theoretic beams ⋮ A linearized viscous, compressible flow-plate interaction with non-dissipative coupling ⋮ Bounded Semigroup Wellposedness for a Linearized Compressible Flow Structure PDE Interaction with Material Derivative ⋮ Finite-dimensional global attractors for parabolic nonlinear equations with state-dependent delay
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