A. Parmar

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20222026

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math.AP2026

Existence and stability estimates for weak solutions of $p$ -systems by front tracking scheme

Akash Parmar

We prove the existence of global weak entropy solutions to the $p$ -system with the piecewise affine flux function. The construction is based on a wave-front tracking scheme for whi…

math.AP2022

Fractional regularity for conservation laws with discontinuous flux

Shyam Sundar Ghoshal, Stephane Junca, Akash Parmar

This article deals with the regularity of the entropy solutions of scalar conservation laws with discontinuous flux. It is well-known [Adimurthi et al., Comm. Pure Appl. Math. 2011…

Existence and stability estimates for weak solutions of p-systems by front tracking scheme

Fractional regularity for conservation laws with discontinuous flux

Existence and stability estimates for weak solutions of $p$ -systems by front tracking scheme