# Remarks on a paper by Gavrilov: Grad-Shafranov equations, steady solutions of the three dimensional incompressible Euler equations with compactly supported velocities, and applications

## TL;DR

This paper introduces a new method for constructing smooth, compactly supported solutions to 3D incompressible Euler equations using localizable Grad-Shafranov equations, expanding the toolkit for fluid dynamics research.

## Contribution

It presents a novel approach based on localizable Grad-Shafranov equations to generate solutions with compact support, inspired by recent theoretical developments.

## Key findings

- Constructed smooth, compactly supported solutions for 3D Euler equations.
- Demonstrated the applicability of localizable Grad-Shafranov equations.
- Extended previous theoretical results to practical solution construction.

## Abstract

We describe a method to construct smooth and compactly supported solutions of 3D incompressible Euler equations and related models. The method is based on localizable Grad-Shafranov equations and is inspired by the recent result \cite{gav}.