Splitting and Merging of Stagnation Points of Solutions to the 2D Navier-Stokes Equations

We construct solutions to the Navier-Stokes equations on $\mathbf{R}^2$ with an arbitrary number of stagnation points which merge and split along trajectories that can be prescribed freely, up to a small deformation.

Publication Details

Journal
ArXiv.org
Published
2025-10-01
Primary Topic
Tendon Structure and Treatment
Type
article
Field-Weighted Citation Impact
0.00

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article

Splitting and Merging of Stagnation Points of Solutions to the 2D Navier-Stokes Equations

ArXiv.org
Tendon Structure and Treatment
article

Splitting and Merging of Stagnation Points of Solutions to the 2D Navier-Stokes Equations

article en

Abstract

We construct solutions to the Navier-Stokes equations on $\mathbf{R}^2$ with an arbitrary number of stagnation points which merge and split along trajectories that can be prescribed freely, up to a small deformation.

ArXiv.org
Fundación BBVA, European Commission, Banco Bilbao Vizcaya Argentaria, Agencia Estatal de Investigación
Openalex Percentile: Top 41%
Tendon Structure and Treatment
Open Access PDFOpenAlex
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Splitting and Merging of Stagnation Points of Solutions to the 2D Navier-Stokes Equations · ArXiv.org (2025) | TGRS Research Map | TGRS