On the stability of the Bresse system with frictional damping

DOI10.1016/J.JMAA.2017.04.027zbMath1379.35016arXiv1610.05500OpenAlexW2535844040MaRDI QIDQ2014136

Moez Khenissi, Belkacem Said-Houari, Tej-Eddine Ghoul

Publication date: 10 August 2017

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

Full work available at URL: https://arxiv.org/abs/1610.05500

zbMATH Keywords

one space dimensiondecay rateTimoshenko systemwave speedsparabolic-hyperbolic systemsnew stability numberregularity loos

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 (10)

Local indirect stabilization of same coupled evolution systems through resolvent estimates ⋮ Decay rates of strongly damped Infinite laminated beams ⋮ New decay rates for a Cauchy thermoelastic laminated Timoshenko problem with interfacial slip under Fourier or Cattaneo laws ⋮ Some \(L^2(\mathbb{R})\)-norm and \(L^1(\mathbb{R})\)-norm decay estimates for Cauchy Timoshenko type systems with a frictional damping or an infinite memory ⋮ On the decay rates for two Cauchy thermoelastic laminated Timoshenko problems of type III with interfacial slip ⋮ New stability results for a linear thermoelastic Bresse system with second sound ⋮ On the stability of a laminated Timoshenko problem with interfacial slip in the whole space under frictional dampings or infinite memories ⋮ Stability and instability results for Cauchy laminated Timoshenko-type systems with interfacial slip and a heat conduction of Gurtin-Pipkin's law ⋮ On the asymptotic stability of a Bresse system with two fractional damping terms: theoretical and numerical analysis ⋮ The influence of the physical coefficients of a Bresse system with one singular local viscous damping in the longitudinal displacement on its stabilization

Cites Work

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• Global existence and decay property of the Timoshenko system in thermoelasticity with second sound
• 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
• The Bresse system in thermoelasticity
• The asymptotic behavior of the Bresse–Cattaneo system
• Rates of decay to weak thermoelastic Bresse system
• DECAY PROPERTY OF REGULARITY-LOSS TYPE FOR DISSIPATIVE TIMOSHENKO SYSTEM
• DECAY PROPERTY OF REGULARITY-LOSS TYPE AND NONLINEAR EFFECTS FOR DISSIPATIVE TIMOSHENKO SYSTEM
• Cauchy problems for linear thermoelastic systems of type III in one space variable
• Avoiding the Jordan Canonical Form in the Discussion of Linear Systems with Constant Coefficients

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