Preprint 2003-030

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' equation with impulsive sources.

Paper:

Available as PostScript (360 Kbytes) or gzipped PostScript (144 Kbytes; uncompress using gunzip).

Author(s):

Alberto Bressan, <bressan@sissa.it>

Tong Yang, <matyang@cityu.edu.hk>

Publishing information:

To appear in SIAM J. Math. Anal.

Comments:

Submitted by:

<matyang@cityu.edu.hk> May 13 2003.