On the stability of linear porous elastic materials with microtemperatures effects and frictional damping

DOI10.1080/00036811.2020.1829602zbMath1492.35049OpenAlexW3092086439MaRDI QIDQ5085537

Marwa Saci, Houssem E. Khochemane, Abdelhak Djebabla

Publication date: 27 June 2022

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

Full work available at URL: https://doi.org/10.1080/00036811.2020.1829602

zbMATH Keywords

energy methodLyapunov functionalexponential decayparabolic-hyperbolic systemporous systemmicrotemperature damping

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Asymptotic behavior of solutions to PDEs (35B40) Thermal effects in solid mechanics (74F05) Linear constitutive equations for materials with memory (74D05) Initial-boundary value problems for second-order hyperbolic systems (35L53)

Related Items (4)

Decay in full von Kármán beam with temperature and microtemperatures effects ⋮ Stability analysis in extensible thermoelastic beam with microtemperatures ⋮ Unnamed Item ⋮ Exponential stability for a thermoelastic porous system with microtemperatures effects

Cites Work

• Unnamed Item
• Well-posedness and stability results in a Timoshenko-type system of thermoelasticity of type III with delay
• Exponential stability in thermoelasticity with microtemperatures
• Thermoelastic models of continua
• On the theory of thermoelasticity with microtemperatures
• Linear elastic materials with voids
• A theory of thermoelastic materials with voids
• Slow decay for one-dimensional porous dissipation elasticity
• On the stabilization of linear porous elastic materials by microtemperature effect and porous damping
• On the time decay of solutions in one-dimensional theories of porous materials
• A continuum theory for granular materials

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