Fourier Spectral Approximation to Global Attractor for 2D Convective Cahn-Hilliard Equation

作者：Zhao, Xiaopeng^*

来源：Bulletin of the Malaysian Mathematical Sciences Society, 2018, 41(2): 1119-1138.

DOI：10.1007/s40840-016-0378-3

• Fourier spectral methods
• Convective Cahn-Hilliard equation
• Global attractor
• Convergence

In this paper, we consider the long-time behavior of the convective Cahn-Hilliard equation in 2D case. A linear fully discrete Galerkin-Fourier spectral approximation scheme is constructed and the existence of the global attractors of the discrete system is obtained. All results in this paper are obtained without any restriction on the time step size.

• 出版日期2018-4
• 单位江南大学; 东南大学