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arXiv · 1510.08936

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

Anna Kostianko
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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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Anna Kostianko. 2015-11-25. Inertial manifolds for the 3D modified-Leray-$α$ model with periodic boundary conditions. https://arxiv.org/abs/1510.08936

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