3 papers
math.AP2019
A sufficient condition for uniqueness of weak solutions of the incompressible Euler system
Shyam Sundar Ghoshal, Animesh Jana
We give a new sufficient criteria to prove the uniqueness of the incompressible Euler equation in dimension . In their celebrated works by V. Scheffer [18], A. Shnirelman […
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
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…