Journal of Thermal Stresses · 2009 · 20 citations · 11 references
Natural SciencesMechanical EngineeringDifferential EquationsDynamical SystemsThermodynamicsBoundary ConditionsBoundary-value ProblemsPartial Differential EquationsThermoelasticityAsymptotic TheoryInitial Boundary ConditionsInitial Value Problem FormulationInitial-boundary Value ProblemsOperator SemigroupsSemigroup TheoryThermoelastic Boundary Value Problems
In this paper we investigate the asymptotic behavior of solutions to the initial boundary value problem for a one-dimensional theory of mixtures of thermoviscoelastic solids. Our main goal is to present conditions which insure the analyticity and the lack of analyticity of the corresponding semigroup.
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A Dynamical theory of interacting continua
Anne Green, P. M. Naghdi · International Journal of Engineering Science · 1965 · 382 citations