Uniqueness of the Leray-Hopf solution for a dyadic model

N. Filonov

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arXiv · 1506.07480

Uniqueness of the Leray-Hopf solution for a dyadic model

N. Filonov

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Abstract

The dyadic problem $\dot u_n + \lambda^{2n} u_n - \lambda^{\beta n} u_{n-1}^2 + \lambda^{\beta(n+1)} u_n u_{n+1} = 0$ with "smooth" initial data is considered. The uniqueness of the Leray-Hopf solution is proved.

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N. Filonov. 2015-06-24. Uniqueness of the Leray-Hopf solution for a dyadic model. https://arxiv.org/abs/1506.07480

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