Abstract
This paper is concentrated on a nonlinear Galerkin method with sm small-scale components for Kuramoto-Sivashinsky equation, in which convergence results and the analysis of error estimates are given. The conclusion shows that this choice of modes is efficient for the method modified.
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Communicated by Tang Renji
Project supported partially by the Science Foundation of the State Education Commission of China
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Yujiang, W. Remarks on nonlinear Galerkin method for Kuramoto-Sivashinsky equation. Appl Math Mech 18, 1005–1013 (1997). https://doi.org/10.1007/BF00189292
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DOI: https://doi.org/10.1007/BF00189292