Abstract
We consider non-decreasing entropy solutions to 1-d scalar conservation laws and show that the spatial derivatives of such solutions satisfy a contraction property with respect to the Wasserstein distance of any order. This result extends the L1-contraction property shown by Kruzkov.
| Original language | English |
|---|---|
| Pages (from-to) | 91-107 |
| Number of pages | 17 |
| Journal | Journal of Hyperbolic Differential Equations |
| Volume | 2 |
| Issue number | 1 |
| Publication status | Published - 2005 |
| Externally published | Yes |
Keywords
- Conservation laws
- entropy solutions
- Wasserstein distance