Dissipation enhancement by mixing

Yuanyuan Feng; Gautam Iyer

doi:10.1088/1361-6544/ab0e56

Dissipation enhancement by mixing

Yuanyuan Feng, Gautam Iyer

Carnegie Mellon University

Research output: Contribution to journal › Article › peer-review

48 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	1810-1851
Number of pages	42
Journal	Nonlinearity
Volume	32
Issue number	5
DOIs	https://doi.org/10.1088/1361-6544/ab0e56
State	Published - 15 Apr 2019
Externally published	Yes

Keywords

dissipation time
enhanced dissipation
mixing

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10.1088/1361-6544/ab0e56

Cite this

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title = "Dissipation enhancement by mixing",

abstract = "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.",

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AU - Iyer, Gautam

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AB - 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.

KW - dissipation time

KW - enhanced dissipation

KW - mixing

UR - https://www.scopus.com/pages/publications/85067824766

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DO - 10.1088/1361-6544/ab0e56

M3 - 文章

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JO - Nonlinearity

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Dissipation enhancement by mixing

Abstract

Keywords

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