Stable self-similar blow-up  for a family of nonlocal transport equations

Tarek M. Elgindi; Tej-eddine Ghoul; Nader Masmoudi

doi:10.2140/apde.2021.14.891

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.

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Tarek M. Elgindi. Tej-eddine Ghoul. Nader Masmoudi. "Stable self-similar blow-up for a family of nonlocal transport equations." Anal. PDE 14 (3) 891 - 908, 2021. https://doi.org/10.2140/apde.2021.14.891

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Received: 13 June 2019; Revised: 7 October 2019; Accepted: 21 November 2019; Published: 2021

First available in Project Euclid: 25 June 2021

Digital Object Identifier: 10.2140/apde.2021.14.891

Subjects:

Primary: 35Q31 , 35Q35

Keywords: 1-dimensional models , Euler equation , singularity

Abstract

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