Uniform stabilization of the higher-dimensional system of thermoelasticity with a nonlinear boundary feedback

DOI10.1090/qam/1828455zbMath1019.74011OpenAlexW2318107464MaRDI QIDQ4414891

Wei-Jiu Lui, Enrique Zuazua

Publication date: 28 July 2003

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/qam/1828455

zbMATH Keywords

thermoelasticitymultiplier techniquesLyapunov methodsenergy decay estimateuniform stabilizationnonlinear velocity feedbackhigher-dimensional system

Mathematics Subject Classification ID

Control, switches and devices (``smart materials) in solid mechanics (74M05) Thermal effects in solid mechanics (74F05)

Related Items (13)

Polynomial stability of a thermoelastic system with linear boundary dissipation and second sound ⋮ Partial exact controllability for inhomogeneous multidimensional thermoelastic diffusion problem ⋮ Uniform analyticity and exponential decay of the semigroup associated with a thermoelastic plate equation with perturbed boundary conditions ⋮ Local indirect stabilization of same coupled evolution systems through resolvent estimates ⋮ Uniform stabilisation of a thermoelastic system with static Wentzell conditions ⋮ Boundary controllability for inhomogeneous multidimensional thermoelastic diffusion problem by Hilbert's uniqueness method ⋮ Global existence, asymptotic behavior and uniform attractors for non-autonomous thermoelastic systems ⋮ Stabilization of a system of anisotropic thermoelasticity by nonlinear feedbacks. ⋮ Uniform stability for thermoelastic systems with boundary time-varying delay ⋮ Can the average temperature stabilize a system of thermoelastic plates? ⋮ A Gevrey class semigroup for a thermoelastic plate model with a fractional Laplacian: between the Euler-Bernoulli and Kirchhoff models ⋮ General boundary stabilization of memory-type thermoelasticity ⋮ Energy decay in thermoelasticity with viscoelastic damping of general type

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