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Stable self-similar
blow-up for a family of nonlocal transport equations
Tarek M. Elgindi, Tej-eddine Ghoul and Nader Masmoudi |
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Vol. 14 (2021), No. 3, 891–908
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Abstract |
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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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Keywords
singularity, Euler equation, 1-dimensional models
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Mathematical Subject Classification 2010
Primary: 35Q31, 35Q35
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Milestones
Received: 13 June 2019
Revised: 7 October 2019
Accepted: 21 November 2019
Published: 18 May 2021
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Authors |
| Tarek M. Elgindi | |
| UC San Diego La Jolla, CA United States |
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| Tej-eddine Ghoul | |
| New York University Abu Dhabi Abu Dhabi United Arab Emirates |
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| Nader Masmoudi | |
| New York University Abu Dhabi Abu Dhabi United Arab Emirates |
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