A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2019; you can also visit the original URL.
The file type is
We construct examples of nite time blowup in sup-norm and total variation for 3 3-systems of strictly hyperbolic conservation laws. The exact solutions are explicitly constructed. In the case of sup-norm blowup we also provide an example where all other p-norms, 1 p < 1, remains uniformely bounded. Finally we consider appropriate rescalings for the di erent types of blow up. 1991 Mathematical Subject Classi cation: 35L65, 35B05doi:10.1137/s0036141099352339 fatcat:hmjjgfoyazb2bbhzmrm5kzyihq