Stability in thermoelastic diffusion theory with voids

DOI10.1080/00036811.2010.541443zbMath1242.35039OpenAlexW2005831147WikidataQ58132135 ScholiaQ58132135MaRDI QIDQ3225831

Moncef Aouadi

Publication date: 22 March 2012

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

Full work available at URL: https://doi.org/10.1080/00036811.2010.541443

zbMATH Keywords

initial-boundary value problem\(C_0\)-semigroupone space dimensionpolynomial stabilitylack of exponential stabilityelliptic-hyperbolic systemimpossibility of localization

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Stability of dynamical problems in solid mechanics (74H55)

Related Items (6)

A thermoelastic problem with diffusion, microtemperatures, and microconcentrations ⋮ Wave propagation at the boundary surface of elastic and initially stressed viscothermoelastic diffusion with voids media ⋮ Exponential decay in thermoelastic materials with voids and dissipative boundary without thermal dissipation ⋮ Fractional order thermoelastic interactions in an infinite porous material due to distributed time-dependent heat sources ⋮ Decay of solutions in nonhomogeneous thermoelastic diffusion bars ⋮ Stability aspects in a nonsimple thermoelastic diffusion problem

Cites Work

• On the time decay of solutions in porous-elasticity with quasi-static microvoids
• A theory of thermoelastic diffusion materials with voids
• Exponential decay in one-dimensional porous-thermo-elasticity
• 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
• On the time polynomial decay in elastic solids with voids
• Characterization of polynomial decay rate for the solution of linear evolution equation
• Stabilization in elastic solids with voids
• Stability in thermoelasticity of type III
• Polynomial stability of operator semigroups
• Polynomial and exponential stability for one-dimensional problem in thermoelastic diffusion theory
• On the Spectrum of C 0 -Semigroups
• Thermoelasticity with second sound?exponential stability in linear and non-linear 1-d
• DECAY OF SOLUTIONS OF THE SYSTEM OF THERMOELASTICITY OF TYPE III

This page was built for publication: Stability in thermoelastic diffusion theory with voids