STABILITY OF ABSTRACT LINEAR THERMOELASTIC SYSTEMS WITH MEMORY

DOI10.1142/S0218202501001021zbMath1036.74014MaRDI QIDQ4798878

Vittorino Pata, Claudio Giorgi

Publication date: 16 March 2003

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

existenceuniquenesscontinuous dependenceKirchhoff plate equationexponentially stable solutionregular convex memory kernels

Mathematics Subject Classification ID

Thermal effects in solid mechanics (74F05) Linear constitutive equations for materials with memory (74D05) Long-time behavior of solutions for dynamical problems in solid mechanics (74H40) Bounds for solutions of equilibrium problems in solid mechanics (74G45)

Related Items (14)

On a semilinear Timoshenko-Coleman-Gurtin system: quasi-stability and attractors ⋮ Upper semicontinuous attractors for a 2D Mindlin-Timoshenko thermo-viscoelastic model with memory ⋮ Asymptotic behavior of the thermoelastic suspension bridge equation with linear memory ⋮ Long-time dynamics of an extensible plate equation with thermal memory ⋮ On uniform decay of a nonsimple thermoelastic bar with memory ⋮ Long-time behavior for a nonlinear plate equation with thermal memory ⋮ Smooth attractor for a nonlinear thermoelastic diffusion thin plate based on Gurtin–Pipkin’s model ⋮ The long-time stability of solutions for intermittently controlled viscoelastic wave equations with memory terms ⋮ Long-time behavior of a class of thermoelastic plates with nonlinear strain ⋮ Global attractors for the extensible thermoelastic beam system ⋮ Polynomial decay to thermoelastic plates with memory ⋮ The sharp decay rate of thermoelastic transmission system with infinite memories ⋮ On the energy decay of the linear thermoelastic plate with memory ⋮ Quasi-stability and global attractor in nonlinear thermoelastic diffusion plate with memory

Cites Work

• Global existence, uniqueness, and asymptotic stability of classical smooth solutions in one-dimensional nonlinear thermoelasticity
• Constitutive equations and quasi-static problem in linear thermoviscoelasticity
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• Asymptotic stability in linear thermoviscoelasticity
• Asymptotic behavior of a semilinear problem in heat conduction with memory
• On the energy decay of a linear thermoelastic bar
• Exponential stability and analyticity of abstract linear thermoelastic systems
• On the exponential stability of linear thermoelasticity
• A general theory of heat conduction with finite wave speeds
• On the existence and the asymptotic stability of solutions to the equations of linear thermoelasticity
• Constitutive equations for thermomechanical materials with memory
• On the Energy Decay of a Linear Thermoelastic Bar and Plate
• Exponential stability of the semigroup associated with a thermoelastic system
• Mathematical models of thin thermoviscoelastic plates
• On the exponential stability of linear viscoelasticity and thermoviscoelasticity
• Asymptotic behaviour in inhomogeneous linear thermoelasticity
• Decomposition of the Displacement Vector Field and Decay Rates in Linear Thermoelasticity

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