This paper deals with a phase transition model in which the energy balance is equivalently rewritten in terms of the entropy balance. The thermodynamical consistence of the model is proved and also under physically meaningful assumptions on the data, existence of a solution is stated for the corresponding initial boundary values problem by a maximum principle. Hence, L1-arguments yield the uniqueness of the solution and show that it evolves in accordance with thermodynamics and everyday practical properties.
A phase transition model with the entropy balance / E. Bonetti, M. Frémond. - In: MATHEMATICAL METHODS IN THE APPLIED SCIENCES. - ISSN 0170-4214. - 26:7(2003), pp. 539-556.
A phase transition model with the entropy balance
E. Bonetti
;
2003
Abstract
This paper deals with a phase transition model in which the energy balance is equivalently rewritten in terms of the entropy balance. The thermodynamical consistence of the model is proved and also under physically meaningful assumptions on the data, existence of a solution is stated for the corresponding initial boundary values problem by a maximum principle. Hence, L1-arguments yield the uniqueness of the solution and show that it evolves in accordance with thermodynamics and everyday practical properties.File | Dimensione | Formato | |
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