Finite-time blowup for the inviscid vortex stretching equation
Analysis of PDEs
2023-11-03 v2
Abstract
In this paper, we will introduce the inviscid vortex stretching equation, which is a model equation for the 3D Euler equation where the advection of vorticity is neglected. We will show that there are smooth solutions of this equation which blowup in finite-time, even when restricting to axisymmetric, swirl-free solutions. This provides further evidence of the role of advection in depleting nonlinear vortex stretching for solutions of the 3D Euler equation.
Keywords
Cite
@article{arxiv.2208.08974,
title = {Finite-time blowup for the inviscid vortex stretching equation},
author = {Evan Miller},
journal= {arXiv preprint arXiv:2208.08974},
year = {2023}
}