MEASURE SOLUTIONS TO A STRICTLY HYPERBOLIC SYSTEM OF CONSERVATION-LAWS

Authors
HAYES BT LEFLOCH PG
Citation
Bt. Hayes et Pg. Lefloch, MEASURE SOLUTIONS TO A STRICTLY HYPERBOLIC SYSTEM OF CONSERVATION-LAWS, Nonlinearity, 9(6), 1996, pp. 1547-1563
Citations number
12
Categorie Soggetti
Mathematics,"Mathematical Method, Physical Science",Mathematics,"Physycs, Mathematical
Journal title
Nonlinearity → ACNP
ISSN journal
09517715
Volume
9
Issue
6
Year of publication
1996
Pages
1547 - 1563
Database
ISI
SICI code
0951-7715(1996)9:6<1547:MSTASH>2.0.ZU;2-Q
Abstract
We study a system of two conservation laws which is strictly hyperboli c, but not genuinely nonlinear. We solve the Riemann problem for the i nviscid system in a unique way and find explicit travelling wave solut ions for the viscous system. It is established that the solutions must be searched for in the space of bounded Radon measures.