Blowup for Systems of Conservation Laws

Helge Kristian Jenssen
2000 SIAM Journal on Mathematical Analysis  
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, 35B05
doi:10.1137/s0036141099352339 fatcat:hmjjgfoyazb2bbhzmrm5kzyihq