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

  • ZHAO, XIAOPENG
  • Received : 2014.02.24
  • Published : 2015.09.30

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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Acknowledgement

Supported by : Natural Science Foundation of China