Finite-dimensional attractor for a composite system of wave/plate equations with localized damping

DOI10.1088/0951-7715/23/9/011zbMath1204.35051arXiv0912.5464OpenAlexW2047523909MaRDI QIDQ4930125

Francesca Bucci, Daniel Toundykov

Publication date: 28 September 2010

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0912.5464

zbMATH Keywords

attractorplateinteractionnonlinear dampingacoustic wavelong term behaviouracoustic-structure interactionscritical sources

Mathematics Subject Classification ID

Attractors (35B41) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Plates (74K20) Hydro- and aero-acoustics (76Q05) Higher-order hyperbolic systems (35L55) Second-order semilinear hyperbolic equations (35L71)

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