A Sharp Decay Estimate for Positive Nonlinear Waves
Abstract
Description
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.
20 pages, 4 figures
20 pages, 4 figures