Global existence, asymptotic stability, and uniform attractors for non-autonomous thermoelastic systems with constant time delay

DOI10.1063/1.4723840zbMath1277.74024OpenAlexW2078855405MaRDI QIDQ2865464

Jia Ren, Tian-hui Wei, Yu-ming Qin

Publication date: 29 November 2013

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4723840

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Thermal effects in solid mechanics (74F05) PDEs in connection with mechanics of deformable solids (35Q74) Initial-boundary value problems for linear higher-order PDEs (35G16)

Related Items (9)

A note on asymptotic stability of semilinear thermoelastic system ⋮ Long-time behavior for a thermoelastic microbeam problem with time delay and the Coleman-Gurtin thermal law ⋮ Long-time dynamics for nonlinear porous thermoelasticity with second sound and delay ⋮ Global existence and general decay of a weakly nonlinear damped Timoshenko system of thermoelasticity of type III with infinite memory ⋮ Unnamed Item ⋮ Well-posedness and exponential stability of a thermoelastic-Bresse system with second sound and delay ⋮ Well-posedness and exponential stability of a flexible structure with second sound and time delay ⋮ Asymptotic stability for a non-autonomous full von Kármán beam with thermo-viscoelastic damping ⋮ Global existence, asymptotic behavior, and uniform attractor for a nonautonomous equation

Cites Work

• Unnamed Item
• Unnamed Item
• Exponential stability and inequalities of solutions of abstract functional differential equations
• Stabilization of wave and plate-like equations with nonlinear dissipation on the boundary
• Energy decay in a Timoshenko-type system of thermoelasticity of type III
• Method of Lyapunov functionals construction in stability of delay evolution equations
• Stabilization of a locally damped thermoelastic system
• Exponential stabilization of Volterra integrodifferential equations in Hilbert space
• Exponential stabilization of Volterra integral equations with singular kernels
• Exponential energy decay in a linear thermoelastic rod
• Thermoelasticity without energy dissipation
• On the energy decay of a linear thermoelastic bar
• Uniform attractor for non-autonomous hyperbolic equation with critical exponent
• Global attractor for a nonlinear thermoviscoelastic model with a non-convex free energy density
• On the existence and the asymptotic stability of solutions to the equations of linear thermoelasticity
• An abstract Volterra equation with applications to linear viscoelasticity
• Asymptotic stability in viscoelasticity
• Exponential stability in linear thermoelasticity: the inhomogeneous case
• Uniform Stabilization of the Wave Equation by Nonlinear Boundary Feedback
• Averaging of 2D Navier–Stokes equations with singularly oscillating forces
• An Example on the Effect of Time Delays in Boundary Feedback Stabilization of Wave Equations
• Not All Feedback Stabilized Hyperbolic Systems are Robust with Respect to Small Time Delays in Their Feedbacks
• Use of time-delay actions in the controller design
• The decay of the energy in a viscoelastic body
• Sur la décroissance non uniforme de l'énergie dans le système de la thermoélasticité linéaire
• Partial exact controllability and exponential stability in higher-dimensional linear thermoelasticity
• Global uniform decay rates for the solutions to wave equation with nonlinear boundary conditions
• DECAY OF SOLUTIONS OF THE SYSTEM OF THERMOELASTICITY OF TYPE III
• Global existence and uniform decay for a nonlinear viscoelastic equation with damping
• Universal attractors for the Navier-Stokes equations of compressible and heat-conductive fluid in bounded annular domains in \(\mathbb{R}^n\)

This page was built for publication: Global existence, asymptotic stability, and uniform attractors for non-autonomous thermoelastic systems with constant time delay