Decay rates of the solution to the Cauchy problem of the type III Timoshenko model without any mechanical damping

DOI10.1515/dema-2015-0026zbMath1326.35044OpenAlexW2339936075MaRDI QIDQ494013

Belkacem Said-Houari

Publication date: 31 August 2015

Published in: Demonstratio Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/dema-2015-0026

zbMATH Keywords

type III heat conductionregularity loss

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)

Cites Work

• The stability number of the Timoshenko system with second sound
• Energy decay in a Timoshenko-type system with history in thermoelasticity of type III
• On the stability of damped Timoshenko systems: Cattaneo versus Fourier law
• Energy decay for Timoshenko systems of memory type.
• Asymptotic behavior of the solution to the Cauchy problem for the Timoshenko system in thermoelasticity of type III
• Damping by heat conduction in the Timoshenko system: Fourier and Cattaneo are the same
• Stability of Timoshenko systems with past history
• Stability in thermoelasticity of type III
• Decay property of Timoshenko system in thermoelasticity
• DECAY PROPERTY OF REGULARITY-LOSS TYPE FOR DISSIPATIVE TIMOSHENKO SYSTEM
• DECAY OF SOLUTIONS OF THE SYSTEM OF THERMOELASTICITY OF TYPE III
• Decay rates and global existence for semilinear dissipative Timoshenko systems

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