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Criterion of hyperbolicity for non‐conservative quasilinear systems admitting a partially convex conservation law
Author(s) -
Forestier A.,
Gavrilyuk S.
Publication year - 2011
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1512
Subject(s) - conservation law , mathematics , regular polygon , class (philosophy) , weak solution , mathematical analysis , mathematical economics , geometry , computer science , artificial intelligence
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 Godunov–Friedrichs–Lax approach to this new class of models. Copyright © 2011 John Wiley & Sons, Ltd.