Structure of the fundamental solution of a nonconvex conservation law
arXiv:1307.1229
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.
arXiv comment22pages, 8 figures