Blowup in L-infinity for a class of genuinely nonlinear hyperbolic systemsof conservation laws

Authors
Baiti, P Jenssen, HK
Citation
P. Baiti et Hk. Jenssen, Blowup in L-infinity for a class of genuinely nonlinear hyperbolic systemsof conservation laws, DISCR C D S, 7(4), 2001, pp. 837-853
Citations number
12
Categorie Soggetti
Mathematics
Journal title
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
ISSN journal
10780947 → ACNP
Volume
7
Issue
4
Year of publication
2001
Pages
837 - 853
Database
ISI
SICI code
1078-0947(200110)7:4<837:BILFAC>2.0.ZU;2-K
Abstract
We construct a class of 3 x 3 systems of conservation laws with all charact eristic fields genuinely nonlinear, and we show the existence of entropy so lutions for these that blow up in sup-norm in finite time. The solutions ar e constructed by considering wave patterns where infinitely many shock wave s are produced in finite time. We also consider the role of entropies as a mechanism for preventing this type of singular behavior.