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Unique solutions of 2x2 conservation laws with large data

TitleUnique solutions of 2x2 conservation laws with large data
Publication TypeJournal Article
Year of Publication1995
AuthorsBressan, A, Colombo, RM
JournalIndiana Univ. Math. J. 44 (1995), no. 3, 677-725
Abstract

For a 2x2 hyperbolic system of conservation laws, we first consider a Riemann problem with arbitrarily large data. A stability assumption is introduced, which yields the existence of a Lipschitz semigroup of solutions, defined on a domain containing all suitably small BV perturbations of the Riemann data. We then establish a uniqueness result for large BV solutions, valid within the same class of functions where a local existence theorem can be proved.

URLhttp://hdl.handle.net/1963/975
DOI10.1512/iumj.1995.44.2004

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