Stability aspects in a nonsimple thermoelastic diffusion problem

DOI10.1080/00036811.2012.702341zbMath1273.35041OpenAlexW2079725321MaRDI QIDQ2846762

Moncef Aouadi

Publication date: 3 September 2013

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

Full work available at URL: https://doi.org/10.1080/00036811.2012.702341

zbMATH Keywords

exponential stabilityanalyticityone space dimensionimpossibility of localization in time

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Thermal effects in solid mechanics (74F05) Stability of dynamical problems in solid mechanics (74H55)

Related Items (7)

Approximate controllability of nonsimple elastic plate with memory ⋮ Global solution to the Cauchy problem for nonlinear three-dimensional thermoelasticity of nonsimple materials ⋮ Stability aspects in strain gradient theory of thermoelasticity with mass diffusion ⋮ Exact observability and controllability for a nonsimple elastic rod ⋮ Asymptotic analysis of a nonsimple thermoelastic rod ⋮ Decay and numerical results in nonsimple viscoelasticity ⋮ Approximate controllability of abstract nonsimple thermoelastic problem

Cites Work

• Decay of solutions in nonsimple thermoelastic bars
• On the decay of solutions in nonsimple elastic solids with memory
• Semigroups of linear operators and applications to partial differential equations
• Theories of elasticity with couple-stress
• Multipolar continuum mechanics
• Micro-structure in linear elasticity
• Stability in thermoelastic diffusion theory with voids
• Polynomial and exponential stability for one-dimensional problem in thermoelastic diffusion theory
• On the Spectrum of C 0 -Semigroups

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