Preprint 1998-006

Blowup Asymptotics for Scalar Conservation Laws with a Source

Helge Kristian Jenssen and Carlo Sinestrari


Abstract: We study asymptotic properties of solutions of scalar conservation laws with a positive superlinear source and with blowup at a single point. In a neighbourhood of the blowup point the asymptotic profile turns out to be different depending on whether blowup occurs along a shock curve or in a region where the solution is smooth. The profile is explicitly calculated in the cases with a powerlike flux and an exponential or powerlike source.


Paper:
Available as PostScript
Title:
Blowup asymptotics for scalar conservation laws with a source
Author(s):
Helge Kristian Jenssen, mailto:helgekj@math.ntnu.no
Carlo Sinestrari, mailto:sinestra@axp.mat.uniroma2.it
Publishing information:
Comments:
Submitted by:
mailto:helgekj@math.ntnu.no February 3 1998.


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