Dynamics of a nonlinear elastic plate interacting with a linearized compressible viscous fluid

DOI10.1016/j.na.2013.10.018zbMath1457.35035OpenAlexW2028624179MaRDI QIDQ2637051

Igor D. Chueshov

Publication date: 18 February 2014

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2013.10.018

zbMATH Keywords

well-posednessfluid-structure interactionnonlinear plateglobal finite-dimensional attractorlinearized isothermal viscous fluid

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) 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)

Related Items (15)

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Cites Work

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• On the interaction of an elastic wall with a Poiseuille-type flow
• Flow-plate interactions: well-posedness and long-time behavior
• Interaction of an elastic plate with a linearized inviscid incompressible fluid
• Weak and strong solutions of a nonlinear subsonic flow-structure interaction: semigroup approach
• A regularity result for a solid-fluid system associated to the compressible Navier-Stokes equations
• Infinite-dimensional dynamical systems in mechanics and physics
• Fluid-structure interaction: Analysis of a 3-D compressible model
• Evolution semigroups in supersonic flow-plate interactions
• Unsteady interaction of a viscous fluid with an elastic shell modeled by full von Kármán equations
• Long-time dynamics in plate models with strong nonlinear damping
• A global attractor for a fluid-plate interaction model
• An Introduction to the Mathematical Theory of the Navier-Stokes Equations
• A global attractor for a fluid-plate interaction model accounting only for longitudinal deformations of the plate
• Long-time behavior of second order evolution equations with nonlinear damping
• Von Karman Evolution Equations
• Acoustics of Fluid-Structure Interactions
• Well-Posedness and Long Time Behavior for a Class of Fluid-Plate Interaction Models

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