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Mathematics > Analysis of PDEs

arXiv:1804.04350 (math)
[Submitted on 12 Apr 2018 (v1), last revised 29 Jul 2018 (this version, v3)]

Title:Single shock solution for non convex scalar conservation laws

Authors: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.
Subjects: Analysis of PDEs (math.AP)
Cite as: arXiv:1804.04350 [math.AP]
  (or arXiv:1804.04350v3 [math.AP] for this version)
  https://doi.org/10.48550/arXiv.1804.04350

Submission history

From: Shyam Ghoshal [view email]
[v1] Thu, 12 Apr 2018 07:02:25 UTC (52 KB)
[v2] Thu, 14 Jun 2018 16:16:38 UTC (52 KB)
[v3] Sun, 29 Jul 2018 18:35:21 UTC (52 KB)
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