广义元胞流的次指数混合

IF 1.4 4区工程技术 Q3 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Mathematics in Engineering Pub Date : 2021-08-12 DOI:10.3934/mine.2023006

Gianluca Crippa, Christian Schulze

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引用次数: 1

摘要

研究了不可压缩流动中被动标量平流的混合性质。我们考虑了一类元胞流(比[Crippa-Schulze M$ ^3 $AS 2017]中的类更一般)，并表明，在palenstrophy在时间上均匀有界的约束下，被动标量的混合尺度不能呈指数衰减。

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Sub-exponential mixing of generalized cellular flows with bounded palenstrophy

We study the mixing properties of a passive scalar advected by an incompressible flow. We consider a class of cellular flows (more general than the class in [Crippa-Schulze M$ ^3 $AS 2017]) and show that, under the constraint that the palenstrophy is bounded uniformly in time, the mixing scale of the passive scalar cannot decay exponentially.

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来源期刊

Mathematics in Engineering MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-

CiteScore

2.20

自引率

0.00%

发文量

审稿时长

12 weeks