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arXiv · 2601.03161

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

Dallas Albritton·Julien Guillod·Mikhail Korobkov·Xiao Ren
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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.

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Dallas Albritton, Julien Guillod, Mikhail Korobkov, Xiao Ren. 2026-01-06. Forward self-similar solutions to the 2D Navier--Stokes equations. https://arxiv.org/abs/2601.03161

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