Viscous Burgers equation driven by point source: a formula for the weak limit

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Sourav Pal, Manas R. Sahoo
DOI: 10.48550/arxiv.2602.08496
Cited by: 0

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.

Fields of Study & Subjects

Nonlinear Partial Differential Equations Navier-Stokes equation solutions Advanced Mathematical Physics Problems

Publication details

Journal / source
arXiv (Cornell University)
Publication date
9 February 2026
Language
EN
Document type
Preprint