SPECTRAL APPROXIMATIONS OF ATTRACTORS FOR CONVECTIVE CAHN-HILLIARD EQUATION IN TWO DIMENSIONS

Title & Authors
SPECTRAL APPROXIMATIONS OF ATTRACTORS FOR CONVECTIVE CAHN-HILLIARD EQUATION IN TWO DIMENSIONS
ZHAO, XIAOPENG;

Abstract
In this paper, the long time behavior of the convective Cahn-Hilliard equation in two dimensions is considered, semidiscrete and completely discrete spectral approximations are constructed, error estimates of optimal order that hold uniformly on the unbounded time interval $\small{0{\leq}t}$<$\small{{\infty}}$ are obtained.
Keywords
spectral methods;convective Cahn-Hilliard equation;global attractor;error estimates;
Language
English
Cited by
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