A Sharp Decay Estimate for Positive Nonlinear Waves

Details A Sharp Decay Estimate for Positive Nonlinear Waves A Sharp Decay Estimate for Positive Nonlinear Waves

2003-07-10

arxiv.org/abs/math/0307140v1

Mathematics

Analysis of PDEs

20 pages, 4 figures

Scientific paper

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.

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