L2 formulation of multidimensional scalar conservation laws
Analysis of PDEs
2007-05-23 v1
Abstract
We show that Kruzhkov's theory of entropy solutions to multidimensional scalar conservation laws can be entirely recast in L2 and fits into the general theory of maximal monotone operators in Hilbert spaces. Our approach is based on a combination of level-set, kinetic and transport-collapse approximations, in the spirit of previous works by Giga, Miyakawa, Osher, Tsai and the author.
Keywords
Cite
@article{arxiv.math/0609761,
title = {L2 formulation of multidimensional scalar conservation laws},
author = {Yann Brenier},
journal= {arXiv preprint arXiv:math/0609761},
year = {2007}
}