Decay rates of the solution of the Cauchy thermoelastic Bresse system

DOI10.1007/s00033-016-0712-5zbMath1379.35019OpenAlexW2518321897MaRDI QIDQ518971

Karim Rhofir, Abdelaziz Soufyane, Mounir Afilal, Tarek Merabtene

Publication date: 4 April 2017

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-016-0712-5

zbMATH Keywords

Fourier transformenergy methodLyapunov functionalone space dimensionparabolic-hyperbolic system

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Initial value problems for systems of linear higher-order PDEs (35G40)

Related Items (4)

Uniform decay rates of a Bresse thermoelastic system in the whole space ⋮ Optimal memory-type boundary control of the Bresse system ⋮ New decay rates for Cauchy problem of the Bresse system in thermoelasticty type III ⋮ Thermoelastic Bresse system with dual-phase-lag model

Cites Work

• The effect of the wave speeds and the frictional damping terms on the decay rate of the Bresse system
• Energy decay rate of the thermoelastic Bresse system
• Smooth global solutions for the one-dimensional equations in magnetohydrodynamics
• Global existence, uniqueness, and asymptotic stability of classical smooth solutions in one-dimensional nonlinear thermoelasticity
• The Bresse system in thermoelasticity
• On smooth solutions of the Cauchy problem in one-dimensional nonlinear thermoelasticity
• Decay property of Timoshenko system in thermoelasticity
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