A PHASE FIELD MODEL WITH THERMAL MEMORY GOVERNED BY THE ENTROPY BALANCE
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We introduce a thermomechanical model describing dissipative phase transitions with thermal memory in terms of the entropy balance and the principle of virtual power written for microscopic movements. The thermodynamical consistence of this model is verified and existence of solutions is proved for a related initial and boundary value problem.
existence, Partial functional-differential equations, Phase transformations in solids, Stefan problems, phase changes, etc., Integro-partial differential equations, Phase transitions, nonlinear integro-differential PDE's system, Entropy balance; Existence of solutions; Initial-boundary value problem; Nonlinear integro-differential PDE's system; Phase transitions; Mathematics (all); Applied Mathematics; Modeling and Simulation, existence of solutions, Singular PDE system, Nonlinear parabolic equations, internal constraint, entropy balance, initial-boundary value problem
existence, Partial functional-differential equations, Phase transformations in solids, Stefan problems, phase changes, etc., Integro-partial differential equations, Phase transitions, nonlinear integro-differential PDE's system, Entropy balance; Existence of solutions; Initial-boundary value problem; Nonlinear integro-differential PDE's system; Phase transitions; Mathematics (all); Applied Mathematics; Modeling and Simulation, existence of solutions, Singular PDE system, Nonlinear parabolic equations, internal constraint, entropy balance, initial-boundary value problem
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