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arXiv · 1412.4436

Inertial Manifolds for the 3D Cahn-Hilliard Equations with Periodic Boundary Conditions

Anna Kostianko·Sergey Zelik
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Abstract

The existence of an inertial manifold for the 3D Cahn-Hilliard equation with periodic boundary conditions is verified using the proper extension of the so-called spatial averaging principle introduced by G. Sell and J. Mallet-Paret. Moreover, the extra regularity of this manifold is also obtained.

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Anna Kostianko, Sergey Zelik. 2014-12-15. Inertial Manifolds for the 3D Cahn-Hilliard Equations with Periodic Boundary Conditions. https://arxiv.org/abs/1412.4436

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