On the existence and uniqueness in phase-lag thermoelasticity

DOI10.1007/s11012-017-0727-9zbMath1390.74042OpenAlexW2741439507MaRDI QIDQ1750109

Antonio Magaña, Ramón Quintanilla

Publication date: 18 May 2018

Published in: Meccanica (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2117/114238

zbMATH Keywords

existenceuniquenesscontinuous dependencephase-lag thermoelasticityquasi-contractive semigroups

Mathematics Subject Classification ID

Thermal effects in solid mechanics (74F05) Groups and semigroups of linear operators (47D03) Uniqueness of solutions of equilibrium problems in solid mechanics (74G30)

Related Items

Fast spatial behavior in higher order in time equations and systems, On uniqueness and instability for some thermomechanical problems involving the Moore-Gibson-Thompson equation, Uniqueness for a high order ill posed problem, A higher-order porous thermoelastic problem with microtemperatures, Some remarks on the fast spatial growth/decay in exterior regions, Analysis of the photo-thermal excitation in a semiconducting medium under the purview of DPL theory involving non-local effect, Two singular problems of dual-phase-lag thermo-porous-elasticity with microtemperatures, On the influence of voids on the depth of an external signal in thermoelasticity with two relaxation times, Moore–Gibson–Thompson thermoelasticity, Dual-phase-lag one-dimensional thermo-porous-elasticity with microtemperatures, Thermoelastic problem in the setting of dual-phase-lag heat conduction: existence and uniqueness of a weak solution, A new approach to MGT-thermoviscoelasticity, Memory Response in a Magneto-Thermoelastic Rod with Moving Heat Source Based on Eringen’s Nonlocal Theory Under Dual-Phase Lag Heat Conduction

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Heat waves.
• On the representation of solutions for the theory of generalized thermoelasticity with three phase-lags
• A phase-field model based on a three-phase-lag heat conduction
• Propagation of harmonic plane waves under thermoelasticity with dual-phase-lags
• A note on stability in dual-phase-lag heat conduction
• Ill-posed problems in thermomechanics
• Thermoelasticity without energy dissipation
• Exponential stability in the dual-phase-lag heat conduction theory
• Nonclassical dynamical thermoelasticity
• On the phase-lag heat equation with spatial dependent lags
• Spatial behavior in phase-lag heat conduction.
• Phase-lag heat conduction: decay rates for limit problems and well-posedness
• Time decay in dual-phase-lag thermoelasticity: critical case
• A note on stability in three-phase-lag heat conduction
• Wave propagation in dual-phase-lag anisotropic thermoelasticity
• Thermoelasticity with Finite Wave Speeds
• Second-order approximation for heat conduction: dissipation principle and free energies
• Qualitative aspects in dual-phase-lag heat conduction
• Qualitative Aspects in Dual-Phase-Lag Thermoelasticity
• Heat Conduction