Variational properties of the kinetic solutions of scalar conservation laws
Analysis of PDEs
2012-02-21 v3
Abstract
We discuss properties of kinetic solutions of scalar conservation laws in the variational approach developed by Eu. Panov and Y. Brenier. Our main result shows that such solutions can be considered as curves in a suitable Hilbert space with tangents that are unique minimizers of an interaction functional.
Keywords
Cite
@article{arxiv.1105.2695,
title = {Variational properties of the kinetic solutions of scalar conservation laws},
author = {Misha Perepelitsa},
journal= {arXiv preprint arXiv:1105.2695},
year = {2012}
}
Comments
8 pages