Recent research on $(-1)$-homogeneous solutions of stationary Navier-Stokes equations

Fuente: arXiv
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Main Authors: Li, Li, Yan, Xukai
Format: Preprint
Published: 2025
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author Li, Li
Yan, Xukai
author_facet Li, Li
Yan, Xukai
contents We make an exposition of recent research on $(-1)$-homogeneous solutions of the three-dimensional incompressible stationary Navier-Stokes equations with singular rays. We also discuss properties of such solutions that are axisymmetric with no swirl, and present graphs illustrating examples that exhibit various typical types of singular behavior.
format Preprint
id arxiv_https___arxiv_org_abs_2509_07243
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Recent research on $(-1)$-homogeneous solutions of stationary Navier-Stokes equations
Li, Li
Yan, Xukai
Analysis of PDEs
We make an exposition of recent research on $(-1)$-homogeneous solutions of the three-dimensional incompressible stationary Navier-Stokes equations with singular rays. We also discuss properties of such solutions that are axisymmetric with no swirl, and present graphs illustrating examples that exhibit various typical types of singular behavior.
title Recent research on $(-1)$-homogeneous solutions of stationary Navier-Stokes equations
topic Analysis of PDEs
url https://arxiv.org/abs/2509.07243