Nonuniqueness of Leray–Hopf solutions for a dyadic model,St. Petersburg Mathematical Journal

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Nonuniqueness of Leray–Hopf solutions for a dyadic model
St. Petersburg Mathematical Journal ( IF 0.7 ) Pub Date : 2021-03-02 , DOI: 10.1090/spmj/1651
N. Filonov , P. Khodunov

Abstract:The dyadic model $\dot u_n + \lambda ^{2n}u_n - \lambda ^{\beta n}u_{n-1}^2 + \lambda ^{\beta (n+1)}u_nu_{n+1} = f_n$ ,

, is considered. It is shown that in the case of nontrivial right-hand side the system may have two different Leray-Hopf solutions.

中文翻译：

二元模型的Leray-Hopf解的非唯一性

摘要：二元模型，被认为。结果表明，在非平凡的右侧情况下，系统可能具有两种不同的Leray-Hopf解。 $\ dot u_n + \ lambda ^ {2n} u_n-\ lambda ^ {\ beta n} u_ {n-1} ^ 2 + \ lambda ^ {\ beta（n + 1）} u_nu_ {n + 1} = f_n$

更新日期：2021-03-04

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