The Bresse system in thermoelasticity

DOI10.1002/mma.3305zbMath1336.35222OpenAlexW1998593593MaRDI QIDQ2795375

Belkacem Said-Houari, Abdelaziz Soufyane

Publication date: 21 March 2016

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.3305

zbMATH Keywords

heat conductiondecay rateregularity lossBresse beam

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) Initial value problems for second-order hyperbolic systems (35L52)

Related Items (13)

General decay of the Moore-Gibson-Thompson equation with viscoelastic memory of type II ⋮ A nonlinear thermoelastic Bresse system: global existence and exponential stability ⋮ Asymptotic behavior of the transmission problem of the Bresse beam in thermoelasticity ⋮ Uniform and weak stability of Bresse system with one infinite memory in the shear angle displacements ⋮ On the stability of Bresse and Timoshenko systems with hyperbolic heat conduction ⋮ Stabilization of Bresse system with thermodiffusion effects ⋮ Decay rate of the solutions to the Cauchy problem of the Lord Shulman thermoelastic Timoshenko model with microtemperature effect ⋮ Decay rate of the solutions to the Cauchy problem of the Bresse system in thermoelasticity of type III with distributed delay ⋮ Uniform decay rates of a Bresse thermoelastic system in the whole space ⋮ Decay rates of the solution of the Cauchy thermoelastic Bresse system ⋮ New decay rates for Cauchy problem of the Bresse system in thermoelasticty type III ⋮ On the stability of the Bresse system with frictional damping ⋮ The asymptotic behavior of the Bresse–Cattaneo system

Cites Work

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• On smooth solutions of the Cauchy problem in one-dimensional nonlinear thermoelasticity
• Rates of decay to weak thermoelastic Bresse system
• Decay property of Timoshenko system in thermoelasticity
• DECAY PROPERTY FOR THE TIMOSHENKO SYSTEM WITH MEMORY-TYPE DISSIPATION
• DECAY PROPERTY OF REGULARITY-LOSS TYPE FOR DISSIPATIVE TIMOSHENKO SYSTEM
• DECAY PROPERTY OF REGULARITY-LOSS TYPE AND NONLINEAR EFFECTS FOR DISSIPATIVE TIMOSHENKO SYSTEM
• Decay rates of solutions to thermoviscoelastic plates with memory

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