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math.AP2026
Existence, uniqueness and Large time behavior of a viscous conservation law with discontinuous flux
Smritikana Pal, Manas Ranjan Sahoo
In this paper, we study a viscous conservation law with discontinuous flux. We define a weak solution concept, show its existence via an explicit formula, and prove that the weak s…
math.AP2026
Existence and Uniqueness of a Transport Equation coupled with a Balance law
Shuvam Banerjee, Manas R. Sahoo
In this article, we study the existence and uniqueness of a transport equation with discontinuous coefficients that comes from the solution of a balance law with a time-dependent s…