General energy decay in a Timoshenko-type system of thermoelasticity of type III with a viscoelastic damping

DOI10.1016/j.jmaa.2010.09.056zbMath1207.35062OpenAlexW2004899347MaRDI QIDQ615917

Mohammad M. Kafini

Publication date: 7 January 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.09.056

zbMATH Keywords

linear thermoelastic beam

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Asymptotic behavior of solutions to PDEs (35B40) Thermodynamics in solid mechanics (74A15) Regularity of solutions of equilibrium problems in solid mechanics (74G40) Asymptotic analysis for problems in thermodynamics and heat transfer (80M35)

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Cites Work

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• Exponential stabilization of the Timoshenko system by a thermo-viscoelastic damping
• General energy decay rates for a weakly damped Timoshenko system
• Energy decay in a Timoshenko-type system of thermoelasticity of type III
• Energy decay in a Timoshenko-type system with history in thermoelasticity of type III
• On the internal and boundary stabilization of Timoshenko beams
• Uniform decay in a Timoshenko-type system with past history
• Complete solutions in the theory of thermoelasticity without energy dissipation
• Thermoelasticity without energy dissipation
• A note on the uniqueness of solution in the linear theory of thermoelasticity without energy dissipation
• Energy decay for Timoshenko systems of memory type.
• Global stability for damped Timoshenko systems
• Decay rates for solutions of a Timoshenko system with a memory condition at the boundary
• Mildly dissipative nonlinear Timoshenko systems -- global existence and exponential stability.
• Boundary stabilization of solutions of a nonlinear system of Timoshenko type
• On the control of a viscoelastic damped Timoshenko-type system
• Stability of Timoshenko systems with past history
• Timoshenko systems with indefinite damping
• Exponential stability for the Timoshenko system with two weak dampings
• A re-examination of the basic postulates of thermomechanics
• Energy decay in a transmission problem in thermoelasticity of type III
• On the stabilization of the Timoshenko system by a weak nonlinear dissipation
• Nonlinear damped Timoshenko systems with second sound-Global existence and exponential stability
• General energy decay estimates of Timoshenko systems with frictional versus viscoelastic damping
• Boundary Control of the Timoshenko Beam