Criterion of hyperbolicity for non-conservative quasilinear systems admitting a partially convex conservation law
Résumé
A system of conservation laws admitting an additional convex conservation law can be written as a symmetric t-hyperbolic in the sense of Friedrichs system. However, in mathematical modeling of complex physical phenomena, it is customary to use non-conservative hyperbolic models. We generalize the GodunovFriedrichsLax approach to this new class of models. Copyright (c) 2011 John Wiley & Sons, Ltd.