Boundary stabilization of structural acoustic interactions with interface on a Reissner-Mindlin plate

DOI10.1016/j.nonrwa.2011.05.001zbMath1231.35253OpenAlexW2004542354MaRDI QIDQ660702

George Avalos, Daniel Toundykov

Publication date: 5 February 2012

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

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2011.05.001

zbMATH Keywords

stabilitywave equationdecay ratesnonlinear dampingReissner-Mindlin plateboundary dampingMindlin-Timoshenko plate

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Stabilization of systems by feedback (93D15) Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Plates (74K20) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (11)

Stabilization of the variable-coefficient structural acoustic model with curved middle surface and delay effects in the structural component ⋮ Well-posedness of Mindlin-Timoshenko plate with nonlinear boundary damping and sources ⋮ Uniform decay rates for a variable-coefficient structural acoustic model with curved interface on a shallow shell ⋮ Nonlinear dynamic response of a simply-supported Kelvin-Voigt viscoelastic beam, additionally supported by a nonlinear spring ⋮ Local and global well-posedness of semilinear Reissner-Mindlin-Timoshenko plate equations ⋮ Global well-posedness and stability of semilinear Mindlin-Timoshenko system ⋮ Exponential stabilization of magnetoelastic waves in a Mindlin-Timoshenko plate by localized internal damping ⋮ Unnamed Item ⋮ Stability of Mindlin-Timoshenko plate with nonlinear boundary damping and boundary sources ⋮ Weak and strong semigroups in structural acoustic Kirchhoff-Boussinesq interactions with boundary feedback ⋮ On Stability Equivalence between Dynamic Output Feedback and Static Output Feedback for a Class of Second Order Infinite-Dimensional Systems

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