Ornstein-Uhlenbeck流的定量混合和耗散增强特性

IF 2.1 2区数学 Q1 MATHEMATICS

Communications in Partial Differential Equations Pub Date : 2021-04-08 DOI:10.1080/03605302.2022.2122835

Umberto Pappalettera

引用次数: 8

摘要

摘要本文研究了由Ornstein–Uhlenbeck速度场驱动的平流-扩散方程解的混合和耗散增强。我们能够在有限的时间范围内证明定量的混合结果、扩散参数的均匀性以及耗散的增强。

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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Quantitative mixing and dissipation enhancement property of Ornstein–Uhlenbeck flow

Abstract This work deals with mixing and dissipation enhancement for the solution of advection-diffusion equation driven by a Ornstein–Uhlenbeck velocity field. We are able to prove a quantitative mixing result, uniform in the diffusion parameter, and enhancement of dissipation over a finite time horizon.

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来源期刊

Communications in Partial Differential Equations 数学-数学

CiteScore

3.60

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： This journal aims to publish high quality papers concerning any theoretical aspect of partial differential equations, as well as its applications to other areas of mathematics. Suitability of any paper is at the discretion of the editors. We seek to present the most significant advances in this central field to a wide readership which includes researchers and graduate students in mathematics and the more mathematical aspects of physics and engineering.