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The semigroup generated by a Temple class system with non-convex flux function

TitleThe semigroup generated by a Temple class system with non-convex flux function
Publication TypeJournal Article
Year of Publication2000
AuthorsBianchini, S
JournalDifferential Integral Equations 13 (2000) 1529-1550
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.

URLhttp://hdl.handle.net/1963/3221

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