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math.AP2023
On blow up of solutions of isentropic Euler system
Shyam Sundar Ghoshal, Animesh Jana
In this article, we study the break-down of smooth and continuous solutions to isentropic Euler system in multi dimension. Sideris [Comm. Math. Phys. 1985] proved the blow up of sm…
math.AP2023
Higher regularity for entropy solutions of conservation laws with geometrically constrained discontinuous flux
Shyam Sundar Ghoshal, Stephane Junca, Akash Parmar
For the Burgers equation, the entropy solution becomes instantly BV with only initial data. For conservation laws with genuinely nonlinear discontinuous flux, it is well…