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arXiv · 1906.05811

Stable self-similar blowup for a family of nonlocal transport equations

Tarek M. Elgindi·Tej-Eddine Ghoul·Nader Masmoudi
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Abstract

We consider a family of non-local 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. 2019-06-13. Stable self-similar blowup for a family of nonlocal transport equations. https://arxiv.org/abs/1906.05811

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