Contractive metrics for scalar conservation laws
Abstract
We consider nondecreasing 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 L^1-contraction property shown by Kruzkov.
- Publication:
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arXiv Mathematics e-prints
- Pub Date:
- April 2005
- DOI:
- 10.48550/arXiv.math/0504136
- arXiv:
- arXiv:math/0504136
- Bibcode:
- 2005math......4136B
- Keywords:
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- Mathematics - Analysis of PDEs
- E-Print:
- Journal of Hyperbolic Differential Equations 2, 1, pp. 91-107 (2005)