@article{d4060670ad534f65830b25231a978aed,
title = "STABLE SELF-SIMILAR BLOW-UP FOR A FAMILY OF NONLOCAL TRANSPORT EQUATIONS",
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 = "1-dimensional models, Euler equation, singularity",
author = "Elgindi, {Tarek M.} and Ghoul, {Tej Eddine} and Nader Masmoudi",
note = "Funding Information: Elgindi acknowledges funding from the NSF DMS-1817134. Ghoul and Masmoudi are partially supported by SITE (Center for Stability, Instability, and Turbulence at NYUAD). Masmoudi is partially supported by NSF DMS-1716466. Publisher Copyright: {\textcopyright} 2021 Mathematical Sciences Publishers. All Rights Reserved.",
year = "2021",
doi = "10.2140/apde.2021.14.891",
language = "English (US)",
volume = "14",
pages = "891--908",
journal = "Analysis and PDE",
issn = "2157-5045",
publisher = "Mathematical Sciences Publishers",
number = "3",
}