Geodesic
Nonuniqueness of Leray-Hopf solutions for a dyadic model
Algebra i analiz, Tome 32 (2020) no. 2, pp. 229-253.

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The dyadic model $ \dot u_n + \lambda ^{2n}u_n - \lambda ^{\beta n}u_{n-1}^2 + \lambda ^{\beta (n+1)}u_nu_{n+1} = f_n$, $ u_n(0)=0$, is considered. It is shown that in the case of nontrivial right-hand side the system may have two different Leray-Hopf solutions.
Keywords: systems of ordinary differential equations, Navier–Stokes equations, dyadic model, nonuniqueness of solutions. 
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N. Filonov; P. A. Khodunov. Nonuniqueness of Leray-Hopf solutions for a dyadic model. Algebra i analiz, Tome 32 (2020) no. 2, pp. 229-253. http://geodesic.mathdoc.fr/item/AA_2020_32_2_a7/

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