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arXiv · 2607.10158

Existence and Uniqueness of a Transport Equation coupled with a Balance law

Shuvam Banerjee·Manas R. Sahoo
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Abstract

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 source term. We also give a simplified proof providing an explicit formula for the solution of the balance law using a variational formulation. This system can be considered as a generalized version of the one-dimensional model for the large-scale structure of the formation of the universe.

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Shuvam Banerjee, Manas R. Sahoo. 2026-07-11. Existence and Uniqueness of a Transport Equation coupled with a Balance law. https://arxiv.org/abs/2607.10158

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