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.
|Number of pages||17|
|Journal||Journal of Hyperbolic Differential Equations|
|Publication status||Published - 2005|
- Conservation laws
- entropy solutions
- Wasserstein distance