scientific article

zbMATH Open0577.73011MaRDI QIDQ3698370

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Publication date: 1985

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zbMATH Keywords

initial-boundary value problemHilbert spacedifferential equationstemperatureinequalitydisplacementabsolute temperaturesecond order in timehomogeneous boundary conditionsexistence and uniqueness problemscontinuous dependence upon initial dataappropriate dependent variablesinfinitesimal generator of a \(C_ o\) contractive semigrouplinear couple stress thermoelasticityreduced to an abstract initial value problemreplaced by a constitutive relation in the Clausius-Duhemreplaced by a constitutive relation in the Clausius-Duhem inequalitytransformed into a first order system

Mathematics Subject Classification ID

Anisotropy in solid mechanics (74E10) Thermodynamics in solid mechanics (74A15) Thermal effects in solid mechanics (74F05) Groups and semigroups of linear operators (47D03) Polar materials (74A35) Uniqueness of solutions of dynamical problems in solid mechanics (74H25) Uniqueness of solutions of equilibrium problems in solid mechanics (74G30)

Related Items (3)

Unnamed Item ⋮ On uniqueness and continuous dependence in nonlinear thermodynamics of electromagnetic materials ⋮ Some remarks on growth and uniqueness in thermoelasticity

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