General stability result in a memory-type porous thermoelasticity system of type III

DOI10.1016/j.ajmsc.2013.08.004zbMath1304.35100OpenAlexW2053133384MaRDI QIDQ465033

Tijani A. Apalara, Messaoudi A. Salim

Publication date: 31 October 2014

Published in: Arab Journal of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ajmsc.2013.08.004

zbMATH Keywords

relaxation functiongeneral decayviscoelastic dampingequal and nonequal speed propagation

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 (12)

Global existence and stability results for a nonlinear Timoshenko system of thermoelasticity of type III with delay ⋮ Exponential decay of solution to the viscoelastic porous-thermoelastic system of type III with boundary time-varying delay ⋮ Asymptotical stability for memory-type porous thermoelastic system of type III with constant time delay ⋮ Global existence and general decay of a weakly nonlinear damped Timoshenko system of thermoelasticity of type III with infinite memory ⋮ Asymptotics of solutions to a system of connected incomplete second-order integro-differential operator equations ⋮ General decay for a viscoelastic-type Timoshenko system with thermoelasticity of type III ⋮ On porous‐elastic system with a time‐varying delay term in the internal feedbacks ⋮ Well-posedness and general decay of a nonlinear damping porous-elastic system with infinite memory ⋮ General decay for a Timoshenko-type system for thermoelasticity of type III with delay, past history and distributed delay ⋮ New stability result for a thermoelastic Bresse system with two infinite memories ⋮ General stability result for a porous thermoelastic system with infinite history and microtemperatures effects ⋮ General decay for a porous thermoelastic system with a memory

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