2011/05/13 by Misha Perepelitsa, Perepelitsa, Misha
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP
paper · pdf · doi:10.48550/arxiv.1105.2695
8 pages
arxiv created 2012/02/20 · arxiv updated 2012/02/21
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.