Uniqueness of the Leray-Hopf solution for a dyadic model

2015/06/24 by N. Filonov, Filonov, N.
Mathematics · Engineering · #Advanced Mathematical Physics Problems #Navier-Stokes equation solutions #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.1506.07480

Abstract

The dyadic problem u_n + λ²ⁿ u_n - λ^βn u_n-1² + λ^β(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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