Global attractor for a composite system of nonlinear wave and plate equations

DOI10.3934/CPAA.2007.6.113zbMath1220.35172OpenAlexW2002489124MaRDI QIDQ2469398

Irena Lasiecka, Igor D. Chueshov, Francesca Bucci

Publication date: 5 February 2008

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2007.6.113

zbMATH Keywords

nonlinear dissipationcoupled wave and plate equationsglobl attractor

Mathematics Subject Classification ID

Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) PDEs of mixed type (35M10) Long-time behavior of solutions for dynamical problems in solid mechanics (74H40) PDEs in connection with mechanics of deformable solids (35Q74)

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On the attractor for a semilinear wave equation with variable coefficients and nonlinear boundary dissipation ⋮ Global attractor for plate equation with nonlinear damping ⋮ A note on the dimension of the global attractor for an abstract semilinear hyperbolic problem ⋮ 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 ⋮ Global attractor for a coupled wave and plate equation with nonlocal weak damping on Riemannian manifolds ⋮ Exponential attractors for the strongly damped wave equation ⋮ Attractors and their properties for a class of nonlocal extensible beams ⋮ Weak and strong semigroups in structural acoustic Kirchhoff-Boussinesq interactions with boundary feedback ⋮ Attractors and long-time behavior of von Kármán thermoelastic plates ⋮ Global solutions to a structure acoustic interaction model with nonlinear sources ⋮ On partial synchronization of nonlinear oscillations of two Berger plates coupled by internal subdomains

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