Boundary stabilization of memory-type thermoelasticity with second sound

DOI10.1007/s00033-011-0190-8zbMath1250.35036OpenAlexW2021815357MaRDI QIDQ451799

Muhammad I. Mustafa

Publication date: 24 September 2012

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-011-0190-8

zbMATH Keywords

convexitygeneral decayviscoelastic dampingdamping on the boundary

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Asymptotic behavior of solutions to PDEs (35B40) Asymptotic stability in control theory (93D20) Linear constitutive equations for materials with memory (74D05) Higher-order hyperbolic systems (35L55)

Related Items (11)

Existence and general decay of a transmission problem for the plate equation with a memory condition on the boundary ⋮ Asymptotic behavior of second sound thermoelasticity with internal time-varying delay ⋮ General Decay Result for a Weakly Damped Thermo-Viscoelastic System with Second Sound ⋮ General decay of a von karman plate equation with memory on the boundary ⋮ Uniform stability of second sound thermoelasticity with distributed delay ⋮ New general stability for a variable coefficient thermo-viscoelastic-coupled system of second sound with acoustic boundary conditions ⋮ A general decay result for a multi-dimensional weakly damped thermoelastic system with second sound ⋮ Stability of a transmission problem for Kirchhoff‐type wave equations with memory on the boundary ⋮ Weighted integral inequality and application in uniform stability for a nonlinear system with memory ⋮ General decay for a nonlinear Bresse system with memory conditions on part of the boundary ⋮ A general decay result for a memory-type thermoelasticity with second sound

Cites Work

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• General boundary stabilization of memory-type thermoelasticity with second sound
• Exponential stability for nonlinear thermoelastic equations with second sound
• On the stability of damped Timoshenko systems: Cattaneo versus Fourier law
• Stability of equilibrium for a nonlinear hyperbolic system describing heat propagation by second sound in solids
• On the constitutive relations for second sound in elastic solids
• Mildly dissipative nonlinear Timoshenko systems -- global existence and exponential stability.
• A generalized dynamical theory of thermoelasticity
• Blow up of solutions with positive energy in nonlinear thermoelasticity with second sound
• LOCAL EXISTENCE AND BLOW UP IN NONLINEAR THERMOELASTICITY WITH SECOND SOUND
• NONLINEAR WELL-POSEDNESS AND RATES OF DECAY IN THERMOELASTICITY WITH SECOND SOUND
• Nonlinear damped Timoshenko systems with second sound-Global existence and exponential stability
• On the existence of smooth solutions in one-dimensional nonlinear thermoelasticity with second sound
• Asymptotic behavior of solutions in linear 2- or 3-D thermoelasticity with second sound
• Thermoelasticity with second sound?exponential stability in linear and non-linear 1-d
• General boundary stabilization of memory-type thermoelasticity
• Sharp decay rates in parabolic and hyperbolic thermoelasticity
• On the decay of solutions for a class of quasilinear hyperbolic equations with non‐linear damping and source terms

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