Anna Kostianko, Sergey Zelik
Published 2014-12-15Version 1
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.
Inertial manifolds for the 3D modified-Leray-$α$ model with periodic boundary conditions
An explanation of metastability in the viscous Burgers equation with periodic boundary conditions via a spectral analysis
Approximation of the inertial manifold for a nonlocal dynamical system
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