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.
The Semigroup generated by a Temple Class System with Non Convex Flux Function / Bianchini, Stefano. - In: DIFFERENTIAL AND INTEGRAL EQUATIONS. - ISSN 0893-4983. - 13:10-12(2000), pp. 1529-1550.
The Semigroup generated by a Temple Class System with Non Convex Flux Function
Bianchini, Stefano
2000-01-01
Abstract
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.File in questo prodotto:
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