On the decay rates of Timoshenko system with second sound

DOI10.1002/mma.3720zbMath1353.35056OpenAlexW2152643916MaRDI QIDQ5739243

Tijani A. Apalara, Messaoudi A. Salim, Ahmed Keddi

Publication date: 15 July 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.3720

zbMATH Keywords

exponential stabilitywell-posednesspolynomial stabilityCattaneo's law

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Asymptotic stability in control theory (93D20) Linear constitutive equations for materials with memory (74D05) Higher-order hyperbolic systems (35L55) Initial-boundary value problems for higher-order hyperbolic systems (35L57) Boundary value problems for systems of linear higher-order PDEs (35G45)

Related Items (27)

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Cites Work

• Unnamed Item
• Unnamed Item
• Global existence and decay property of the Timoshenko system in thermoelasticity with second sound
• The stability number of the Timoshenko system with second sound
• On the internal and boundary stabilization of Timoshenko beams
• Uniform decay in a Timoshenko-type system with past history
• Functional analysis, Sobolev spaces and partial differential equations
• On the stability of damped Timoshenko systems: Cattaneo versus Fourier law
• Stability of equilibrium for a nonlinear hyperbolic system describing heat propagation by second sound in solids
• Mildly dissipative nonlinear Timoshenko systems -- global existence and exponential stability.
• On the control of a viscoelastic damped Timoshenko-type system
• Damping by heat conduction in the Timoshenko system: Fourier and Cattaneo are the same
• On the stabilization of Timoshenko systems with memory and different speeds of wave propagation
• Stability of Timoshenko systems with past history
• Timoshenko systems with indefinite damping
• Stability to weakly dissipative Timoshenko systems
• Decay property of Timoshenko system in thermoelasticity
• 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
• On the Spectrum of C 0 -Semigroups
• Boundary Control of the Timoshenko Beam
• Spectral Theory for Contraction Semigroups on Hilbert Space
• Thermoelasticity with second sound?exponential stability in linear and non-linear 1-d
• Heat waves

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