Optimal decay rate of solutions to Timoshenko system with past history in unbounded domains

DOI10.4171/ZAA/1622zbMath1420.35044WikidataQ129068854 ScholiaQ129068854MaRDI QIDQ1624157

Maisa Khader, Belkacem Said-Houari

Publication date: 15 November 2018

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

zbMATH Keywords

heat conductionLyapunov functionalregularity lossGurtin-Pipkin thermal law

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 (6)

Decay rates of strongly damped Infinite laminated beams ⋮ New decay rates for a Cauchy thermoelastic laminated Timoshenko problem with interfacial slip under Fourier or Cattaneo laws ⋮ On the decay rates for two Cauchy thermoelastic laminated Timoshenko problems of type III with interfacial slip ⋮ On the stability of a laminated Timoshenko problem with interfacial slip in the whole space under frictional dampings or infinite memories ⋮ Stability and instability results for Cauchy laminated Timoshenko-type systems with interfacial slip and a heat conduction of Gurtin-Pipkin's law ⋮ Well-posedness and decay property of regularity-loss type for the Cauchy problem of the standard linear solid model with Gurtin–Pipkin thermal law

Cites Work

• The stability number of the Timoshenko system with second sound
• Ill-posed problems in thermomechanics
• Decay rate of solutions to Timoshenko system with past history in unbounded domains
• Damping by heat conduction in the Timoshenko system: Fourier and Cattaneo are the same
• On the stability of Timoshenko systems with Gurtin-Pipkin thermal law
• A general theory of heat conduction with finite wave speeds
• Asymptotic stability in viscoelasticity
• Decay property of the Timoshenko–Cattaneo system
• Decay property of Timoshenko system in thermoelasticity
• DECAY PROPERTY FOR THE TIMOSHENKO SYSTEM WITH FOURIER'S TYPE HEAT CONDUCTION
• Heat waves

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