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http://dx.doi.org/10.4134/BKMS.2015.52.5.1445

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

ZHAO, XIAOPENG (SCHOOL OF SCIENCE JIANGNAN UNIVERSITY)
Publication Information
Bulletin of the Korean Mathematical Society / v.52, no.5, 2015 , pp. 1445-1465 More about this Journal
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 $0{\leq}t<{\infty}$ are obtained.
Keywords
spectral methods; convective Cahn-Hilliard equation; global attractor; error estimates;
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