Structure of the fundamental solution of a nonconvex conservation law
Analysis of PDEs
2013-07-05 v1
Abstract
The structure of a signed fundamental solution of a conservation law is studied without the convexity assumption. The types of shocks and rarefaction waves are classified together with their interactions. A comprehensive picture of a global dynamics of a nonconvex flux is discussed in terms of characteristic maps and dynamical convex-concave envelopes.
Keywords
Cite
@article{arxiv.1307.1229,
title = {Structure of the fundamental solution of a nonconvex conservation law},
author = {Yong-Jung Kim and Young-Ran Lee},
journal= {arXiv preprint arXiv:1307.1229},
year = {2013}
}
Comments
22pages, 8 figures