Analysis for the strain gradient theory of porous thermoelasticity

DOI10.1016/j.cam.2018.06.045zbMath1459.74051OpenAlexW2810845792WikidataQ129645696 ScholiaQ129645696MaRDI QIDQ1789708

M. Masid, Antonio Magaña, Ramón Quintanilla, José R. Fernández

Publication date: 10 October 2018

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2117/121750

zbMATH Keywords

existencefinite element methoduniquenesserror estimateexponential decaysemigroup argument

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Finite element methods applied to problems in solid mechanics (74S05) Thermal effects in solid mechanics (74F05) Existence of solutions of dynamical problems in solid mechanics (74H20) Uniqueness of solutions of dynamical problems in solid mechanics (74H25)

Related Items (6)

Exponential decay for a strain gradient porous thermoelasticity with second sound ⋮ Stability and analyticity analysis in nonlocal Mindlin's strain gradient thermoelasticity with voids and second sound ⋮ Mathematical modelling in nonlocal Mindlin’s strain gradient thermoelasticity with voids ⋮ Global solution to the Cauchy problem for nonlinear three-dimensional thermoelasticity of nonsimple materials ⋮ Stabilization for an inhomogeneous porous‐elastic system with temperature and microtemperature ⋮ On a thermoelastic material having a dipolar structure and microtemperatures

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