On discretely self-similar solutions of the Euler equations

TL;DR

This paper establishes criteria that rule out the existence of discretely self-similar solutions in three-dimensional incompressible Euler equations, contributing to the understanding of potential solution behaviors.

Contribution

It provides new criteria to exclude discretely self-similar solutions, advancing theoretical understanding of Euler equations.

Findings

Criteria exclude discretely self-similar solutions

Enhances understanding of Euler solution structures

Clarifies conditions for solution non-existence

Abstract

This notes gives several criteria which exclude the existence of discretely self-similar solutions of the three dimensional incompressible Euler equations.