A "forward-in-time" quadratic potential for systems of conservation laws
Analysis of PDEs
2017-06-28 v2
Abstract
A quadratic interaction potential for hyperbolic systems of conservation laws is constructed, whose value at time depends only on the present and the future profiles of the solution and not on the past ones. Such potential is used to bound the change of the speed of the waves at each interaction.
Keywords
Cite
@article{arxiv.1701.02121,
title = {A "forward-in-time" quadratic potential for systems of conservation laws},
author = {Stefano Modena},
journal= {arXiv preprint arXiv:1701.02121},
year = {2017}
}
Comments
21 pages