Asymptotic behavior in nonlocal Mindlin's strain gradient thermoelasticity with voids and microtemperatures

DOI10.1016/j.jmaa.2022.126268zbMath1494.74016OpenAlexW4224288325MaRDI QIDQ2672997

Moncef Aouadi

Publication date: 13 June 2022

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2022.126268

zbMATH Keywords

existenceuniquenessexponential stabilitywell-posednesssemigroup theorymicrotemperaturenonlocal strain gradientnon-analyticityGearhart-Herbst-Pruess-Huang theorem

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Thermal effects in solid mechanics (74F05) Long-time behavior of solutions for dynamical problems in solid mechanics (74H40) Existence of solutions of dynamical problems in solid mechanics (74H20) Uniqueness of solutions of dynamical problems in solid mechanics (74H25) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (4)

Decay in full von Kármán beam with temperature and microtemperatures effects ⋮ Stability and analyticity analysis in nonlocal Mindlin's strain gradient thermoelasticity with voids and second sound ⋮ Global existence and exponential stability of solutions for thermodiffusion equations of type III ⋮ Stability analysis in extensible thermoelastic beam with microtemperatures

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