Dissipation enhancement by mixing

被引：42

作者：

Feng, Yuanyuan ^{[1
]}

Lyer, Gautam ^{[1
]}

机构：

[1] Carnegie Mellon Univ, Dept Math Sci, Pittsburgh, PA 15213 USA

来源：

NONLINEARITY | 2019年 / 32卷 / 05期

基金：

美国国家科学基金会;

关键词：

enhanced dissipation; mixing; dissipation time; DIFFUSION; TIME; DECAY;

D O I：

10.1088/1361-6544/ab0e56

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We quantitatively study the interaction between diffusion and mixing in both the continuous, and discrete time setting. In discrete time, we consider a mixing dynamical system interposed with diffusion. In continuous time, we consider the advection diffusion equation where the advecting vector field is assumed to be sufficiently mixing. The main results of this paper is to estimate the dissipation time and energy decay based on an assumption quantifying the mixing rate.

引用

页码：1810 / 1851

页数：42

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