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

STABLE SELF-SIMILAR BLOW-UP FOR A FAMILY OF NONLOCAL TRANSPORT EQUATIONS

Tarek M. Elgindi, Tej Eddine Ghoul, Nader Masmoudi

Research output: Contribution to journal › Article › peer-review

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.

Original language	English (US)
Pages (from-to)	891-908
Number of pages	18
Journal	Analysis and PDE
Volume	14
Issue number	3
DOIs	https://doi.org/10.2140/apde.2021.14.891
State	Published - 2021

Keywords

1-dimensional models
Euler equation
singularity

ASJC Scopus subject areas

Analysis
Numerical Analysis
Applied Mathematics

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10.2140/apde.2021.14.891

Cite this

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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",

year = "2021",

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AU - Ghoul, Tej Eddine

AU - Masmoudi, Nader

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AB - 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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KW - Euler equation

KW - singularity

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ER -

STABLE SELF-SIMILAR BLOW-UP FOR A FAMILY OF NONLOCAL TRANSPORT EQUATIONS

Abstract

Keywords

ASJC Scopus subject areas

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