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arXiv · 1804.04350

Single shock solution for non convex scalar conservation laws

Adimurthi·Shyam Sundar Ghoshal
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Abstract

In this paper we study the finite time emergence of one shock for the solution of scalar conservation laws in one space dimension with general flux f . We give a necessary and sufficient condition to the initial data connecting to flux. The proof relies on the structure theorem for the linear degenerate flux and the finer analysis of characteristic curves.

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Adimurthi, Shyam Sundar Ghoshal. 2018-04-12. Single shock solution for non convex scalar conservation laws. https://arxiv.org/abs/1804.04350

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