Well-posedness and exponential stability of a flexible structure with second sound and time delay

DOI10.1080/00036811.2018.1478081zbMath1426.35088OpenAlexW2807875991WikidataQ115552866 ScholiaQ115552866MaRDI QIDQ5238210

Yue Luan, Gang Li, Feida Jiang, Jiangyong Yu

Publication date: 28 October 2019

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2018.1478081

zbMATH Keywords

semigroup theoryCattaneo's lawparabolic-hyperbolic system

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) One-parameter semigroups and linear evolution equations (47D06) Initial-boundary value problems for systems of linear higher-order PDEs (35G46)

Related Items (5)

Exponential stability for a flexible structure with Fourier's type heat conduction and distributed delay ⋮ Exponential Stability for a Flexible Structure System with Thermodiffusion Effects and Distributed Delay ⋮ Unnamed Item ⋮ Well-posedness and exponential stability of a thermoelastic-Bresse system with second sound and delay ⋮ A new result for a blow-up of solutions to a logarithmic flexible structure with second sound

Cites Work

• Unnamed Item
• Asymptotic behavior of a flexible structure with Cattaneo type of thermal effect
• Asymptotic behavior for a viscoelastic wave equation with a delay term
• Stabilization of the wave equation with boundary or internal distributed delay.
• Semigroups of linear operators and applications to partial differential equations
• Introduction to functional differential equations
• An exponential stability result of a Timoshenko system with thermoelasticity with second sound and in the presence of delay
• Introduction to time-delay systems. Analysis and control
• Global existence, asymptotic stability, and uniform attractors for non-autonomous thermoelastic systems with constant time delay
• Exponential decay of solution to the viscoelastic porous-thermoelastic system of type III with boundary time-varying delay
• Stability and Instability Results of the Wave Equation with a Delay Term in the Boundary or Internal Feedbacks
• An Example on the Effect of Time Delays in Boundary Feedback Stabilization of Wave Equations

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