Viscous Burgers equation driven by point source: a formula for the weak limit
Analysis of PDEs
2026-02-10 v1
Abstract
In this article, we obtain the weak limit of the solutions of the viscous Burgers equation driven by a point source term, as the coefficient of viscosity tends to zero. The weak limit is related to the variational problem that consists of three types of functional, which is not usual in the absence of the source term.
Keywords
Cite
@article{arxiv.2602.08496,
title = {Viscous Burgers equation driven by point source: a formula for the weak limit},
author = {Smritikana Pal and Manas R. Sahoo},
journal= {arXiv preprint arXiv:2602.08496},
year = {2026}
}
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27 pages