Attractors and long-time behavior of von Kármán thermoelastic plates

DOI10.1007/s00245-007-9031-8zbMath1173.74023OpenAlexW2009707545MaRDI QIDQ1021255

Irena Lasiecka, Igor D. Chueshov

Publication date: 8 June 2009

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00245-007-9031-8

zbMATH Keywords

Airy's stress functionthermal capacityupper-semicontinuitycompensated compactness methodsrotational inertia parameter

Mathematics Subject Classification ID

Related Items (25)

A nonlinear transmission problem for a compound plate with thermoelastic part ⋮ On the attractor for a semilinear wave equation with variable coefficients and nonlinear boundary dissipation ⋮ A global attractor for a fluid-plate interaction model accounting only for longitudinal deformations of the plate ⋮ Conservative numerical methods for the Full von Kármán plate equations ⋮ Weak solution to the incompressible viscous fluid and a thermoelastic plate interaction problem in 3D ⋮ Long-time dynamics of vectorial von Karman system with nonlinear thermal effects and free boundary conditions ⋮ Regular global attractors of type III thermoelastic extensible beams ⋮ General decay to the full von Kármán system with memory ⋮ Global and exponential attractors for extensible thermoelastic plate with time-varying delay ⋮ Existence of solution and uniform decay for a contact problem in laminated beam ⋮ Observability and attractors of nonlinear von Kármán beams ⋮ Exponential stability and global attractors for a thermoelastic Bresse system ⋮ Dynamics of a thermoelastic Balakrishnan-Taylor beam model with fractional operators ⋮ Quasi-stability and upper semicontinuity for coupled wave equations with fractional damping ⋮ Von Karman thermoelastic plates: existence and nonexistence of global solutions ⋮ Upper semicontinuity of pullback attractors for nonlinear full von Kármán beam ⋮ Exponential stability of the von Kármán system with internal damping ⋮ Global smooth attractors for dynamics of thermal shallow shells without vertical dissipation ⋮ Existence and sharp decay rate estimates for a von Karman system with long memory ⋮ Robustness of global attractors for extensible coupled suspension bridge equations with fractional damping ⋮ Porous-elastic plates: Fourier versus type III ⋮ Smooth attractor for a nonlinear thermoelastic diffusion thin plate based on Gurtin–Pipkin’s model ⋮ Global attractors for the extensible thermoelastic beam system ⋮ Continuity of global attractors for a suspension bridge equation ⋮ Global attractor for a class of Kirchhoff models

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