A Sharp Decay Estimate for Positive Nonlinear Waves
Analysis of PDEs
2007-05-23 v1
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.
Cite
@article{arxiv.math/0307140,
title = {A Sharp Decay Estimate for Positive Nonlinear Waves},
author = {Alberto Bressan and Tong Yang},
journal= {arXiv preprint arXiv:math/0307140},
year = {2007}
}
Comments
20 pages, 4 figures