Gradient Driven and Singular Flux Blowup of Smooth Solutions to Hyperbolic
Helge Kristian Jenssen and Robin Young
We consider two new classes of examples of sup-norm blowup in finite
time for strictly hyperbolic systems of conservation laws. The
explosive growth in amplitude is caused either by a gradient
catastrophe or by a singularity in the flux function. The examples
show that solutions of (uniformly) strictly hyperbolic systems can
remain as smooth as the initial data until the time of
blowup. Consequently, blowup in amplitude is not necessarily strictly
preceded by shock formation.
- Available as PDF (160 Kbytes).
- Helge Kristian Jenssen,
- Robin Young,
- Publishing information:
- Submitted by:
March 28 2004.
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