Abstract
We give examples of finite 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 < ∞, remain uniformly bounded. Finally we consider appropriate rescalings for the different types of blowup.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 894-908 |
| Number of pages | 15 |
| Journal | SIAM Journal on Mathematical Analysis |
| Volume | 31 |
| Issue number | 4 |
| DOIs | |
| State | Published - 2000 |
All Science Journal Classification (ASJC) codes
- Analysis
- Computational Mathematics
- Applied Mathematics