A note on `Nonexistence of self-similar singularities for the 3D incompressible Euler equations'

TL;DR

This paper extends previous results to show that no locally self-similar singular solutions exist for the 3D incompressible Euler equations, addressing a question of interest in physics and fluid dynamics.

Contribution

It generalizes earlier nonexistence results to include locally self-similar solutions, broadening the understanding of singularity formation in Euler equations.

Findings

No locally self-similar singular solutions exist for 3D Euler equations

Extends previous nonexistence results to a broader class of solutions

Addresses a question posed by physicists about singularity types

Abstract

In this brief note we show that the author's previous result in \cite{cha} on the nonexistence of self-similar singularities for the 3D incompressible Euler equations implies actually the nonexistence of `locally self-similar' singular solution, which has been sought by many physicists.