Exponential stability in hyperbolic thermoelastic diffusion problem with second sound

DOI10.1155/2011/274843zbMath1235.35192OpenAlexW2092318851WikidataQ58686735 ScholiaQ58686735MaRDI QIDQ762923

Moncef Aouadi

Publication date: 8 March 2012

Published in: International Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2011/274843

zbMATH Keywords

exponential stabilityone space dimensionFourier's lawCattaneo's lawcoupling of three hyperbolic equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Thermal effects in solid mechanics (74F05) Initial-boundary value problems for first-order hyperbolic systems (35L50)

Related Items (5)

Energy decay in thermoelastic diffusion theory with second sound and dissipative boundary ⋮ Decay of solutions in nonhomogeneous thermoelastic diffusion bars ⋮ Spectral analysis and stability of thermoelastic Bresse system with second sound and boundary viscoelastic damping ⋮ Exponential stability of serially connected thermoelastic system of type II with nodal damping ⋮ Exponential-stability and super-stability of a thermoelastic system of type II with boundary damping

Cites Work

• Unnamed Item
• Unnamed Item
• The theory of generalized thermoelastic diffusion
• A theory of thermoelastic diffusion materials with voids
• The coupled theory of micropolar thermoelastic diffusion
• Semigroups of linear operators and applications to partial differential equations
• Global existence, uniqueness, and asymptotic stability of classical smooth solutions in one-dimensional nonlinear thermoelasticity
• Decay rates for the three-dimensional linear system of thermoelasticity
• A generalized dynamical theory of thermoelasticity
• Energy decay for Porous-thermo-elasticity systems of memory type
• Polynomial and exponential stability for one-dimensional problem in thermoelastic diffusion theory
• On the existence of smooth solutions in one-dimensional nonlinear thermoelasticity with second sound
• Thermoelasticity with second sound?exponential stability in linear and non-linear 1-d
• Exponential stability in one-dimensional non-linear thermoelasticity with second sound
• On uniqueness and stability in generalized thermoelasticity

This page was built for publication: Exponential stability in hyperbolic thermoelastic diffusion problem with second sound