TY - JOUR
T1 - The semigroup generated by a Temple class system with non-convex flux function
JF - Differential Integral Equations 13 (2000) 1529-1550
Y1 - 2000
A1 - Stefano Bianchini
AB - We consider the Cauchy problem for a nonlinear n × n system of conservation laws of Temple class, i.e. with coinciding shock and rarefaction curves and with a coordinate system made of Riemann invariants. Without any assumption on the convexity of the flux function, we prove the existence of a semigroup made of weak solutions of the equations and depending Lipschitz continuously on the initial data with bounded total variation.
PB - Khayyam Publishing
UR - http://hdl.handle.net/1963/3221
U1 - 1080
U2 - Mathematics
U3 - Functional Analysis and Applications
ER -