Inertial manifolds for the 3D modified-Leray-α model with periodic boundary conditions

2015/10/29 by Anna Kostianko, Kostianko, Anna
Computer Science · Engineering · Mathematics · #35B40 #35B42 #35Q30 #76F20 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Numerical Methods #FOS: Mathematics #Stability and Controllability of Differential Equations #math.AP #msc:35B40 #msc:35B42 #msc:35Q30 #msc:76F20

paper · pdf · doi:10.48550/arxiv.1510.08936

openalex publication_date 2015/10/29 · arxiv created 2015/11/25 · arxiv updated 2015/11/26 · openalex created_date 2022/10/05 · openalex updated_date 2026/07/28

Abstract

The existence of an inertial manifold for the modified Leray-α 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.

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