Asymptotic behaviour of nonlinear structural acoustic interactions with thermal effects on the interface

DOI10.1016/S0362-546X(01)00135-3zbMath1006.35016OpenAlexW2055612838MaRDI QIDQ1599984

Catherine Lebiedzik, Irena Lasiecka

Publication date: 17 March 2003

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/s0362-546x(01)00135-3

zbMATH Keywords

undamped wave equationnonlinear plate equationacoustic mediumstructural medium

Mathematics Subject Classification ID

Related Items (13)

Stabilization of the variable-coefficient structural acoustic model with curved middle surface and delay effects in the structural component ⋮ Stabilization of von Kármán plate in the presence of thermal effects in a subsonic potential flow of gas ⋮ Boundary stabilization of the linear MGT equation with partially absorbing boundary data and degenerate viscoelasticity ⋮ Uniform decay rates for a variable-coefficient structural acoustic model with curved interface on a shallow shell ⋮ Analyticity of a multilayer mead-Markus plate ⋮ Boundary stabilization of structural acoustic interactions with interface on a Reissner-Mindlin plate ⋮ On a structural acoustic model which incorporates shear and thermal effects in the structural component ⋮ Strong stabilization of a structural acoustic model, which incorporates shear and thermal effects in the structural component ⋮ On a structural acoustic model with interface a Reissner--Mindlin plate or a Timoshenko beam ⋮ Sound and vibration analysis of a nonlinear panel absorber mounted on an enclosure panel using the multi-level residue harmonic balance method ⋮ Strong stability for a fluid-structure interaction model ⋮ On the stabilizability of a structural acoustic model which incorporates shear effects in the structural component ⋮ An analytic semigroup for the magnetoelastic Mindlin–Timoshenko plate model

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