Inertial Manifolds for the 3D Modified-Leray-α Model with Periodic Boundary Conditions

Kostianko Anna

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Inertial Manifolds for the 3D Modified-Leray-α Model with Periodic Boundary Conditions

机译：具有周期边界条件的3DModified-Leray-α模型的惯性流形

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摘要

The existence of an inertial manifold for the modified Leray- model with periodic boundary conditions in three-dimensional space is proved by using the so-called spatial averaging principle. Moreover, an adaptation of the Perron method for constructing inertial manifolds in the particular case of zero spatial averaging is suggested.

机译：利用所谓的空间平均原理，证明了在三维空间中具有周期性边界条件的改进的Leray模型的惯性流形的存在。此外，提出了在零空间平均的特定情况下用于构造惯性流形的Perron方法的一种改进。

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来源
《Journal of dynamics and differential equations》 |2018年第1期|1-24|共24页
作者
Kostianko Anna;
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作者单位

Univ Surrey, Dept Math, Guildford GU2 7XH, Surrey, England;

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原文格式 PDF
正文语种 eng
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关键词
Modified-Leray-alpha model; Spatial averaging principle; Inertial manifold;

机译：改进的Leray-alpha模型;空间平均原理;惯性流形;

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Inertial Manifolds for the 3D Modified-Leray-α Model with Periodic Boundary Conditions

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