The asymptotic behavior of the Bresse–Cattaneo system

DOI10.1142/S0219199715500455zbMath1343.35029MaRDI QIDQ2809258

Belkacem Said-Houari, Taklit Hamadouche

Publication date: 27 May 2016

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

zbMATH Keywords

heat conductiondecay rateCattaneo's lawregularity 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) Second-order quasilinear hyperbolic equations (35L72) Initial value problems for second-order hyperbolic systems (35L52)

Related Items (10)

General decay of the Moore-Gibson-Thompson equation with viscoelastic memory of type II ⋮ A nonlinear thermoelastic Bresse system: global existence and exponential stability ⋮ Uniform and weak stability of Bresse system with one infinite memory in the shear angle displacements ⋮ Unnamed Item ⋮ 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 ⋮ Stability conditions to Bresse systems with indefinite memory dissipation ⋮ Relaxed Euler systems and convergence to Navier-Stokes equations ⋮ Exponential and polynomial decay in a thermoelastic-Bresse system with second sound ⋮ On the stability of the Bresse system with frictional damping

Cites Work

• Stability to weak dissipative Bresse system
• On the stability of damped Timoshenko systems: Cattaneo versus Fourier law
• The Bresse system in thermoelasticity
• Rates of decay to weak thermoelastic Bresse system

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