Polynomial and exponential stability for one-dimensional problem in thermoelastic diffusion theory

DOI10.1080/00036811003735808zbMath1192.35021OpenAlexW2071027073MaRDI QIDQ3569227

Abdelaziz Soufyane, Moncef Aouadi

Publication date: 18 June 2010

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

Full work available at URL: https://doi.org/10.1080/00036811003735808

zbMATH Keywords

energy decayfirst-order energy

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Stability of dynamical problems in solid mechanics (74H55)

Related Items (9)

Boundary integral equation formulation for generalized thermoelastic diffusion -- analytical aspects ⋮ Energy decay in thermoelastic diffusion theory with second sound and dissipative boundary ⋮ Stability in thermoelastic diffusion theory with voids ⋮ Numerical methods for a problem of thermal diffusion in elastic body with moving boundary ⋮ A study of influence of diffusion inside a spherical shell under thermoelastic diffusion with relaxation times ⋮ Decay of solutions in nonhomogeneous thermoelastic diffusion bars ⋮ Exponential stability in hyperbolic thermoelastic diffusion problem with second sound ⋮ Stability aspects in a nonsimple thermoelastic diffusion problem ⋮ Exponential stability of serially connected thermoelastic system of type II with nodal damping

Cites Work

• Unnamed Item
• Exponential stability in thermoelasticity with microtemperatures
• The theory of generalized thermoelastic diffusion
• On the time decay of solutions in porous-elasticity with quasi-static microvoids
• Exponential decay in one-dimensional porous-thermo-elasticity
• Spatial stability for the quasi-static problem in thermoelastic diffusion theory
• 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
• Slow decay for one-dimensional porous dissipation elasticity
• Decay rates for the three-dimensional linear system of thermoelasticity
• On the time decay of solutions in one-dimensional theories of porous materials
• On the time polynomial decay in elastic solids with voids
• Characterization of polynomial decay rate for the solution of linear evolution equation
• Energy decay for Porous-thermo-elasticity systems of memory type

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