Remark on an elastic plate interacting with a gas in a semi-infinite tube: periodic solutions

DOI10.3934/eect.2016019zbMath1351.74023arXiv1601.04644OpenAlexW2963741960MaRDI QIDQ350272

Igor D. Chueshov

Publication date: 7 December 2016

Published in: Evolution Equations and Control Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.04644

zbMATH Keywords

periodic solutionsfluid-structure interactioncoupled wave and plate equations

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Periodic solutions to PDEs (35B10) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Plates (74K20)

Related Items (3)

Elastic stabilization of an intrinsically unstable hyperbolic flow–structure interaction on the 3D half-space ⋮ Global smooth attractors for dynamics of thermal shallow shells without vertical dissipation ⋮ Feedback Stabilization of a Fluttering Panel in an Inviscid Subsonic Potential Flow

Cites Work

• Nonlinear elastic plate in a flow of gas: recent results and conjectures
• Flow-plate interactions: well-posedness and long-time behavior
• Eliminating flutter for clamped von Karman plates immersed in subsonic flows
• Existence, uniqueness of weak solutions and global attractors for a class of nonlinear 2D Kirchhoff-Boussinesq models
• Some remarks on the local energy decay of solutions of the initial- boundary value problem for the wave equation in unbounded domains
• Mathematical Control Theory of Coupled PDEs
• Feedback Stabilization of a Fluttering Panel in an Inviscid Subsonic Potential Flow
• Attractors for Delayed, Nonrotational von Karman Plates with Applications to Flow-Structure Interactions Without any Damping
• Von Karman Evolution Equations
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