General boundary stabilization of memory-type thermoelasticity with second sound

DOI10.4171/ZAA/1468zbMath1263.35039OpenAlexW1984724975MaRDI QIDQ692844

Aisha Al-Shehri, Messaoudi A. Salim

Publication date: 6 December 2012

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/zaa/1468

zbMATH Keywords

Lyapunov functionalrelaxation functiongeneral decaypolynomial decay

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Thermal effects in solid mechanics (74F05) Linear constitutive equations for materials with memory (74D05) Initial-boundary value problems for second-order hyperbolic systems (35L53)

Related Items (4)

General Decay Result for a Weakly Damped Thermo-Viscoelastic System with Second Sound ⋮ Polynomial stability of a transmission problem with second sound and distributed delay term ⋮ Boundary stabilization of memory-type thermoelasticity with second sound ⋮ A general decay result for a multi-dimensional weakly damped thermoelastic system with second sound

Cites Work

• Unnamed Item
• General decay rates of solutions to a nonlinear wave equation with boundary condition of memory type.
• Stability of equilibrium for a nonlinear hyperbolic system describing heat propagation by second sound in solids
• A boundary condition with memory in elasticity
• Exponential decay of non-linear wave equation with a viscoelastic boundary condition

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