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math.AP2018
Proof of Lions-Perthame-Tadmor conjecture and Jabin's conjecture on regularity for scalar conservation laws in higher dimension
Shyam Sundar Ghoshal, Animesh Jana
[Note: Currently the proof is incomplete as we are using the lemma 3.2 which is not true in general]. We offer a complete resolution of a conjecture by Lions-Perthame-Tadmor mentio…
math.AP2018★ 1 cited
Non existence of the BV regularizing effect for scalar conservation laws in several space dimension
Shyam Sundar Ghoshal, Animesh Jana
This article deals with the regularity aspects of entropy solutions to scalar conservation laws. We show that for each C2 flux in multi-D, there exists an entropy solution which do…
math.AP2018★ 1 cited
Single shock solution for non convex scalar conservation laws
Adimurthi, Shyam Sundar Ghoshal
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 suff…