Vol. 14, No. 3, 2021

Download this article
Download this article For screen
For printing
Recent Issues

Volume 15
Issue 6, 1375–1616
Issue 5, 1131–1373
Issue 4, 891–1130
Issue 3, 567–890
Issue 2, 273–566
Issue 1, 1–272

Volume 14, 8 issues

Volume 13, 8 issues

Volume 12, 8 issues

Volume 11, 8 issues

Volume 10, 8 issues

Volume 9, 8 issues

Volume 8, 8 issues

Volume 7, 8 issues

Volume 6, 8 issues

Volume 5, 5 issues

Volume 4, 5 issues

Volume 3, 4 issues

Volume 2, 3 issues

Volume 1, 3 issues

The Journal
About the Journal
Editorial Board
Editors’ Interests
Subscriptions
 
Submission Guidelines
Submission Form
Policies for Authors
Ethics Statement
 
ISSN: 1948-206X (e-only)
ISSN: 2157-5045 (print)
Author Index
To Appear
 
Other MSP Journals
Stable self-similar blow-up for a family of nonlocal transport equations

Tarek M. Elgindi, Tej-eddine Ghoul and Nader Masmoudi

Vol. 14 (2021), No. 3, 891–908
Abstract

We consider a family of nonlocal problems that model the effects of transport and vortex stretching in the incompressible Euler equations. Using modulation techniques, we establish stable self-similar blow-up near a family of known self-similar blow-up solutions.

Keywords
singularity, Euler equation, 1-dimensional models
Mathematical Subject Classification 2010
Primary: 35Q31, 35Q35
Milestones
Received: 13 June 2019
Revised: 7 October 2019
Accepted: 21 November 2019
Published: 18 May 2021
Authors
Tarek M. Elgindi
UC San Diego
La Jolla, CA
United States
Tej-eddine Ghoul
New York University Abu Dhabi
Abu Dhabi
United Arab Emirates
Nader Masmoudi
New York University Abu Dhabi
Abu Dhabi
United Arab Emirates