Finite-time blowup for the inviscid vortex stretching equation-Reference-Cited by-同舟云学术

Finite-time blowup for the inviscid vortex stretching equation

Published:2023-06-21 Issue:8 Volume:36 Page:4086-4109
ISSN:0951-7715
Container-title:Nonlinearity
language:
Short-container-title:Nonlinearity

Author:

Miller Evan^ORCID

Abstract

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.

Funder

Pacific Institute for the Mathematical Sciences

Publisher

IOP Publishing

Subject

Applied Mathematics,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics

Link

https://iopscience.iop.org/article/10.1088/1361-6544/acd909/pdf

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