Abstract:
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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