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A sharp decay estimate for positive nonlinear waves

TitleA sharp decay estimate for positive nonlinear waves
Publication TypeJournal Article
Year of Publication2004
AuthorsBressan, A, Yang, T
JournalSIAM J. Math. Anal. 36 (2004) 659-677
Abstract

We consider a strictly hyperbolic, genuinely nonlinear system of conservation laws in one space dimension. A sharp decay estimate is proved for the positive waves in an entropy weak solution. The result is stated in terms of a partial ordering among positive measures, using symmetric rearrangements and a comparison with a solution of Burgers\\\' equation with impulsive sources.

URLhttp://hdl.handle.net/1963/2916
DOI10.1137/S0036141003427774

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