A sharp decay estimate for positive nonlinear waves

Alberto Bressan; Tong Yang

doi:10.1137/S0036141003427774

A sharp decay estimate for positive nonlinear waves

Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

Overview

16 Scopus Citations

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Author(s)

Alberto Bressan
Tong Yang

Related Research Unit(s)

Department of Mathematics

Detail(s)

Original language	English
Pages (from-to)	659-677
Journal / Publication	SIAM Journal on Mathematical Analysis
Volume	36
Issue number	2
Publication status	Published - 2005

Link(s)

DOI	DOI https://doi.org/10.1137/S0036141003427774 Final Published version
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Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-14944350931&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(ab6d67db-500c-425c-9bd5-62cbe3a89134).html

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's equation with impulsive sources. © 2004 Society for Industrial and Applied Mathematics.