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Criterion of hyperbolicity for non-conservative quasilinear systems admitting a partially convex conservation law

✍ Scribed by A. Forestier; S. Gavrilyuk

Publisher
John Wiley and Sons
Year
2011
Tongue
English
Weight
166 KB
Volume
34
Category
Article
ISSN
0170-4214

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✦ Synopsis

Communicated by M. Renardy

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.

πŸ“œ SIMILAR VOLUMES

A solution formula for a non-convex scal
A solution formula for a non-convex scalar hyperbolic conservation law with monotone initial data
✍ Matthias Kunik πŸ“‚ Article πŸ“… 1993 πŸ› John Wiley and Sons 🌐 English βš– 392 KB

## Abstract In this paper we prove an explicit representation formula for the solution of a one‐dimensional hyperbolic conservation law with a non‐convex flux function but monotone initial data. This representation formula is similar to those of Lax [10] and Kunik [7,8] and enables us to compute th