A Sharp Decay Estimate for Positive Nonlinear Waves
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.
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Published In
SIAM Journal on Mathematical Analysis
Pages: 659 - 677
ISSN (online): 1095-7154
Copyright
Copyright © 2004 Society for Industrial and Applied Mathematics.
History
Published online: 1 August 2006
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