Geodesic
Convergence of Vanishing Viscosity Approximations of 2 x 2 Triangular Systems of Multi-Dimensional Conservation Laws
Bollettino della Unione matematica italiana, Série 9, Tome 2 (2009) no. 1, pp. 275-284

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

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. 
@article{BUMI_2009_9_2_1_a14,
     author = {Coclite, G. M. and Karlsen, K. H. and Mishra, S. and Risebro, N. H.},
     title = {Convergence of {Vanishing} {Viscosity} {Approximations} of 2 x 2 {Triangular} {Systems} of {Multi-Dimensional} {Conservation} {Laws}},
     journal = {Bollettino della Unione matematica italiana},
     pages = {275--284},
     publisher = {mathdoc},
     volume = {Ser. 9, 2},
     number = {1},
     year = {2009},
     zbl = {1178.35246},
     mrnumber = {2493656},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BUMI_2009_9_2_1_a14/}
}
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Coclite, G. M.; Karlsen, K. H.; Mishra, S.; Risebro, N. H. Convergence of Vanishing Viscosity Approximations of 2 x 2 Triangular Systems of Multi-Dimensional Conservation Laws. Bollettino della Unione matematica italiana, Série 9, Tome 2 (2009) no. 1, pp. 275-284. http://geodesic.mathdoc.fr/item/BUMI_2009_9_2_1_a14/