论文标题

二元模式的Leray-HOPF解决方案的非唯一性

Non-uniqueness of Leray-Hopf solutions for a dyadic mode

论文作者

Filonov, Nikolai, Khodunov, Pavel

论文摘要

二元模型$ \ dot u_n +λ^{2n} u_n -λ^{βn} u_ {n -1}^2 +λ^{β(n + 1)} u_nu_ {n + 1} = f_n $,$ u_n $,$ u_n(0)= 0 $,考虑在内。结果表明,在非平凡的右手方面,系统可以具有两种不同的Leray-HOPF解决方案。

The dyadic model $\dot u_n + λ^{2n}u_n - λ^{βn}u_{n-1}^2 + λ^{β(n+1)}u_nu_{n+1} = f_n$, $u_n(0)=0$, is considered. It is shown that in the case of non-trivial right hand side the system can have two different Leray-Hopf solutions.

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