Weak solutions for a hyperbolic system with unilateral constraint and mass loss
F Berthelin, F Bouchut (2003)
Annales de l'I.H.P. Analyse non linéaire
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F Berthelin, F Bouchut (2003)
Annales de l'I.H.P. Analyse non linéaire
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Michel Rascle (1991)
Annales de l'I.H.P. Analyse non linéaire
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Florent Berthelin (2003)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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We study in this paper some numerical schemes for hyperbolic systems with unilateral constraint. In particular, we deal with the scalar case, the isentropic gas dynamics system and the full-gas dynamics system. We prove the convergence of the scheme to an entropy solution of the isentropic gas dynamics with unilateral constraint on the density and mass loss. We also study the non-trivial steady states of the system.
Philippe Bénilan, Jose Carrillo, Petra Wittbold (2000)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Tommaso Ruggeri (2005)
Bollettino dell'Unione Matematica Italiana
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We discuss the different roles of the entropy principle in modern thermodynamics. We start with the approach of rational thermodynamics in which the entropy principle becomes a selection rule for physical constitutive equations. Then we discuss the entropy principle for selecting admissible discontinuous weak solutions and to symmetrize general systems of hyperbolic balance laws. A particular attention is given on the local and global well-posedness of the relative Cauchy problem for...
Tao, Ming, Cheng, Zhixin, Yan, Jin (2007)
Revista Colombiana de Matemáticas
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