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.
Convergence of vanishing viscosity approximations of 2 × 2 triangular systems of multi-dimensional conservation laws / Coclite, G. M.; Karlsen, K. H.; Mishra, S.; Risebro, N. H.. - In: BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA. - ISSN 1972-6724. - STAMPA. - 2:1(2009), pp. 275-284.
Convergence of vanishing viscosity approximations of 2 × 2 triangular systems of multi-dimensional conservation laws
Coclite, G. M.;
2009-01-01
Abstract
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
