Uniqueness of the Leray-Hopf solution for a dyadic model

Filonov, N.

doi:10.1090/tran/6996

Uniqueness of the Leray-Hopf solution for a dyadic model
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by N. D. Filonov PDF

Trans. Amer. Math. Soc. 369 (2017), 8663-8684 Request permission

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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