A general decay result for a memory-type thermoelasticity with second sound

DOI10.1080/00036811.2013.842230zbMath1295.35099OpenAlexW2034498534MaRDI QIDQ2875565

Messaoudi A. Salim, Belabbas Madani

Publication date: 8 August 2014

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2013.842230

zbMATH Keywords

relaxation functiongeneral decaythermoelasticity with second sound

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Asymptotic behavior of solutions to PDEs (35B40) Thermal effects in solid mechanics (74F05) Asymptotic stability in control theory (93D20) Linear constitutive equations for materials with memory (74D05) Higher-order hyperbolic systems (35L55)

Related Items (4)

General Decay Result for a Weakly Damped Thermo-Viscoelastic System with Second Sound ⋮ Well-posedness and exponential stability of a coupled fluid-thermoelastic plate interaction model with second sound ⋮ A general decay result for a multi-dimensional weakly damped thermoelastic system with second sound ⋮ On the stability of a viscoelastic Timoshenko system with Maxwell-Cattaneo heat conduction

Cites Work

• General decay for a porous-thermoelastic system with memory: the case of nonequal speeds
• Boundary stabilization of memory-type thermoelasticity with second sound
• Exponential stability for nonlinear thermoelastic equations with second sound
• Stability of equilibrium for a nonlinear hyperbolic system describing heat propagation by second sound in solids
• Blow up of solutions with positive energy in nonlinear thermoelasticity with second sound
• Optimal rates of decay in 2-d 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
• Thermoelasticity with second sound?exponential stability in linear and non-linear 1-d
• On the decay of solutions for a class of quasilinear hyperbolic equations with non‐linear damping and source terms

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