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A Uniqueness Condition for Hyperbolic Systems of Conservation Laws

TitleA Uniqueness Condition for Hyperbolic Systems of Conservation Laws
Publication TypeJournal Article
Year of Publication2000
AuthorsBressan, A, Lewicka, M
JournalDiscrete Contin. Dynam. Systems 6 (2000) 673-682
Abstract

Consider the Cauchy problem for a hyperbolic $n\\\\times n$ system of conservation laws in one space dimension: $$u_t+f(u)_x=0, u(0,x)=\\\\bar u(x).\\\\eqno(CP)$$ Relying on the existence of a continuous semigroup of solutions, we prove that the entropy admissible solution of (CP) is unique within the class of functions $u=u(t,x)$ which have bounded variation along a suitable family of space-like curves.

URLhttp://hdl.handle.net/1963/3195

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