Please use this identifier to cite or link to this item: http://hdl.handle.net/1783.1/1774

Fourier spectral approximation to a dissipative system modeling the flow of liquid crystals

Authors Du, Q
Guo, BY
Shen, J
Issue Date 2001
Source SIAM journal on numerical analysis , v. 39, (3), 2001, AUG 31, p. 735-762
Summary We study a Fourier-spectral method for a dissipative system modeling the ow of liquid crystals. We rst prove its convergence in a suitable sense and establish the existence of a global weak solution of the original problem and its uniqueness in the two dimensional case. Then we derive error estimates which exhibit the spectral accuracy of the Fourier-spectral method. We also construct a fully discrete scheme and carry out a complete stability and error analysis for it. Finally, we present some illustrative numerical results.
Subjects
ISSN 0036-1429
Rights Copyright © SIAM. This paper is made available with permission of the Society for Industrial and Applied Mathematics for limited noncommerical distribution only.
Language English
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