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.

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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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