Blowup Asymptotics for Scalar Conservation Laws with a Source
Helge Kristian Jenssen and Carlo Sinestrari
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
- Available as PostScript
- Blowup asymptotics for scalar conservation laws with a source
- Helge Kristian Jenssen,
- Carlo Sinestrari,
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February 3 1998.
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Last modified: Tue Feb 3 14:30:19 1998