Forward self-similar solutions to the 2D Navier--Stokes equations

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Dallas Albritton, Julien Guillod, Mikhail. V. Korobkov, Xiao Ren
DOI: 10.48550/arxiv.2601.03161
Cited by: 0

Abstract

We construct self-similar solutions to the 2D Navier--Stokes equations evolving from arbitrarily large $-1$--homogeneous initial data and present numerical evidence for their non-uniqueness.

Fields of Study & Subjects

Navier-Stokes equation solutions Stability and Controllability of Differential Equations Fluid Dynamics and Thin Films

Publication details

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