关于随时间变化的剪切流的增强耗散的说明

IF 1.2 4区数学 Q2 MATHEMATICS, APPLIED

Communications in Mathematical Sciences Pub Date : 2024-07-18 DOI:10.4310/cms.2024.v22.n6.a10

Daniel Coble, Siming He

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引用次数: 0

摘要

本文探讨了受时变剪切流影响的被动标量方程解中的增强耗散现象。在分析中应用了经过仔细调整的时间权重的超矫顽力函数。我们发现，只要剪切流的临界点变化缓慢，就能得出尖锐的增强耗散估计值，这与时稳态情况下的估计值如出一辙。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A note on enhanced dissipation of time-dependent shear flows

This paper explores the phenomena of enhanced dissipation in solutions to the passive scalar equations subject to time-dependent shear flows. The hypocoercivity functionals with carefully tuned time weights are applied in the analysis. We observe that as long as the critical points of the shear flow vary slowly, one can derive the sharp enhanced dissipation estimates, mirroring the ones obtained for the time-stationary case.

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来源期刊

Communications in Mathematical Sciences 数学-应用数学

CiteScore

1.70

自引率

10.00%

发文量

审稿时长

6 months

期刊介绍： Covers modern applied mathematics in the fields of modeling, applied and stochastic analyses and numerical computations—on problems that arise in physical, biological, engineering, and financial applications. The journal publishes high-quality, original research articles, reviews, and expository papers.