3 papers
math.AP2026
Existence and stability estimates for weak solutions of -systems by front tracking scheme
Akash Parmar
We prove the existence of global weak entropy solutions to the -system with the piecewise affine flux function. The construction is based on a wave-front tracking scheme for whi…
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…
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…