Exponential decay rates for a full von Karman system of dynamic thermoelasticity

DOI10.1006/jdeq.1999.3656zbMath0943.35095OpenAlexW2059607242MaRDI QIDQ1969978

Assia Benabdallah, Irena Lasiecka

Publication date: 2000

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.1999.3656

zbMATH Keywords

nonlinear oscillationsweak solutionswellposednessthermal effectsuniform decay ratesvon Karman systems

Mathematics Subject Classification ID

Related Items (20)

Decay in full von Kármán beam with temperature and microtemperatures effects ⋮ Uniform decay rates for full von karman system of dynamic theromelasticity with free boundary conditions and partial boundary dissipation ⋮ Hadamard well-posedness for a class of nonlinear shallow shell problems ⋮ Stabilization of a thermoelastic Mindlin-Timoshenko plate model revisited ⋮ Exponential stability to localized type III thermoelasticity ⋮ Long-time dynamics of vectorial von Karman system with nonlinear thermal effects and free boundary conditions ⋮ General decay to the full von Kármán system with memory ⋮ Observability and attractors of nonlinear von Kármán beams ⋮ Boundary feedback stabilization of a coupled parabolic-hyperbolic Stokes-Lamé PDE system ⋮ Exponential stabilization of the full von Kármán beam by a thermal effect and a frictional damping and distributed delay ⋮ 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 ⋮ Global existence and uniqueness of weak and regular solutions of shallow shells with thermal effects ⋮ Well-posedness and stability result of the nonlinear thermodiffusion full von Kármán beam with thermal effect and time-varying delay ⋮ Can the average temperature stabilize a system of thermoelastic plates? ⋮ Uniform stability in a vectorial full von Kármán thermoelastic system with solenoidal dissipation and free boundary conditions ⋮ Asymptotic stability for a non-autonomous full von Kármán beam with thermo-viscoelastic damping ⋮ Polynomial decay rate of a thermoelastic Mindlin-Timoshenko plate model with Dirichlet boundary conditions ⋮ On stability of hyperbolic thermoelastic Reissner–Mindlin–Timoshenko plates ⋮ Approximate controllability of abstract nonsimple thermoelastic problem

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