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.
Mathematics (all); Applied Mathematics
Settore MAT/05 - Analisi Matematica
2003
Article (author)
File in questo prodotto:
File Dimensione Formato  
Bonetti_et_al-2003-Mathematical_Methods_in_the_Applied_Sciences.pdf

accesso riservato

Tipologia: Publisher's version/PDF
Dimensione 138.79 kB
Formato Adobe PDF
138.79 kB Adobe PDF   Visualizza/Apri   Richiedi una copia
Pubblicazioni consigliate

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/471756
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 27
  • ???jsp.display-item.citation.isi??? 27
social impact