Coclite, G. M. and Karlsen, K. H. and Mishra, S. and Risebro, N. H.:
Convergence of Vanishing Viscosity Approximations of 2 x 2 Triangular Systems of Multi-Dimensional Conservation Laws
Bollettino dell'Unione Matematica Italiana Serie 9 2 (2009), fasc. n.1, p. 275-284, (English)
pdf (254 Kb), djvu (93 Kb). | MR 2493656 | Zbl 1178.35246
Sunto
We consider a multidimensional triangular system of conservation laws. These equations arise in models of three phase flows in porous media and include multi dimensional conservation laws with discontinuous coefficients as special cases. We study approximate solutions of these equations constructed by the vanishing viscosity method and show that the approximate solutions converge to a weak solution of the multi-dimensional triangular system.
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Con il contributo del Ministero per i Beni e le Attività Culturali