The entropy rate admissibility criterion and the entropy condition for a phase transition problem: The isothermal case

Authors
Hattori, H
Citation
H. Hattori, The entropy rate admissibility criterion and the entropy condition for a phase transition problem: The isothermal case, SIAM J MATH, 31(4), 2000, pp. 791-820
Citations number
31
Categorie Soggetti
Mathematics
Journal title
SIAM JOURNAL ON MATHEMATICAL ANALYSIS
ISSN journal
00361410 → ACNP
Volume
31
Issue
4
Year of publication
2000
Pages
791 - 820
Database
ISI
SICI code
0036-1410(20000404)31:4<791:TERACA>2.0.ZU;2-B
Abstract
In this paper, first, we discuss the relation between the entropy rate admi ssibility criterion and the entropy condition for a phase transition proble m. In the context of the Riemann problem, we consider the compatibility of the above admissibility criteria. Then, combining the two criteria, we stud y the Riemann problems. We discuss the cases where the initial strains are given in the different phases and where they are given in the same phase.