Dissipation enhancement of cellular flows in general advection diffusion equations

Yu Feng; Xiaoqian Xu

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arXiv · 2210.16801

Dissipation enhancement of cellular flows in general advection diffusion equations

Yu Feng·Xiaoqian Xu

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Abstract

The main contribution of this paper is twofold: (1) Recently, Iyer, Xu, and Zlato\v{s} studied the dissipation enhancement by cellular flows based on standard advection-diffusion equations via a stochastic method. We generalize their results to advective hyper-diffusion equations and advective nonlinear diffusion equations. (2) We prove there exist smooth incompressible flows that are relaxation enhancing to hyper-diffusion but not to standard diffusion.

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Yu Feng, Xiaoqian Xu. 2022-10-30. Dissipation enhancement of cellular flows in general advection diffusion equations. https://arxiv.org/abs/2210.16801

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