Qualitative results on the dynamics of a Berger plate with nonlinear boundary damping

DOI10.1016/j.nonrwa.2016.02.002zbMath1346.35024arXiv1509.06020OpenAlexW2963736327MaRDI QIDQ282020

Pelin G. Geredeli, Justin T. Webster

Publication date: 11 May 2016

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.06020

zbMATH Keywords

well-posednessglobal attractorsBerger versus von Karman nonlinearitiesfree plate boundary conditionshinged-type boundary conditionsnonlinear plate equation

Mathematics Subject Classification ID

Attractors (35B41) Plates (74K20) Initial-boundary value problems for second-order hyperbolic systems (35L53)

Related Items (9)

Random attractor for stochastic non-autonomous Berger equation with critical exponent ⋮ Stabilization of a suspension bridge with locally distributed damping ⋮ Finite dimensional smooth attractor for the Berger plate with dissipation acting on a portion of the boundary ⋮ Quasi-stability and exponential attractors for a non-gradient system -- applications to piston-theoretic plates with internal damping ⋮ Semigroup well-posedness of a linearized, compressible fluid with an elastic boundary ⋮ Strong attractors and their robustness for an extensible beam model with energy damping ⋮ Long-time dynamics of a hinged-free plate driven by a nonconservative force ⋮ A Cantilevered Extensible Beam in Axial Flow: Semigroup Well-posedness and Postflutter Regimes ⋮ Stabilization of a nonlinear flow-plate interaction via component-wise decomposition

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