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

Fuente: arXiv
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Autori principali: Albritton, Dallas, Guillod, Julien, Korobkov, Mikhail, Ren, Xiao
Natura: Preprint
Pubblicazione: 2026
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author Albritton, Dallas
Guillod, Julien
Korobkov, Mikhail
Ren, Xiao
author_facet Albritton, Dallas
Guillod, Julien
Korobkov, Mikhail
Ren, Xiao
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2601_03161
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Forward self-similar solutions to the 2D Navier--Stokes equations
Albritton, Dallas
Guillod, Julien
Korobkov, Mikhail
Ren, Xiao
Analysis of PDEs
Fluid Dynamics
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.
title Forward self-similar solutions to the 2D Navier--Stokes equations
topic Analysis of PDEs
Fluid Dynamics
url https://arxiv.org/abs/2601.03161