On existence and uniqueness in incremental thermoelasticity

DOI10.1007/BF00947933zbMath0549.73007OpenAlexW2015356291MaRDI QIDQ800115

Ramón Quintanilla, Carlos B. Navarro

Publication date: 1984

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00947933

zbMATH Keywords

uniquenessHilbert spaceExistenceinitial boundary value problemabstract nonhomogeneous evolutionary equationcontinuous data dependencesmall thermoelastic deformationssuperposed upon a large time- dependent displacement and temperature

Mathematics Subject Classification ID

Thermodynamics in solid mechanics (74A15) Thermal effects in solid mechanics (74F05) Groups and semigroups of linear operators (47D03) Uniqueness of solutions of dynamical problems in solid mechanics (74H25) Uniqueness of solutions of equilibrium problems in solid mechanics (74G30)

Related Items (10)

Asymptotic behaviour in incremental thermoelasticity ⋮ Micromorphic elastic solids with initial stresses and initial heat flux ⋮ Prestressed composites modelled as interacting solid continua ⋮ Some qualitative results for a modification of the Green-Lindsay thermoelasticity ⋮ Strain gradient theory of porous solids with initial stresses and initial heat flux ⋮ On the role of poroelasticity for modeling of stress fields in geothermal reservoirs ⋮ A theory of thermoelastic diffusion materials with voids ⋮ The coupled theory of micropolar thermoelastic diffusion ⋮ A note on semigroup arguments in nonstandard problems ⋮ On the linear problem of swelling porous elastic soils

Cites Work

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• The elastic instability of a director rod
• On uniqueness and continuous dependence in dynamical problems of linear thermoelasticity
• Linear evolution equations of hyperbolic type. II
• Thermoelastic stresses in initially stressed bodies
• Continuous Dependence and Instability in Linear Thermoelasticity

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