半离散Kuramoto-Sivashinsky方程的全局吸引子
Global Attractor for Semi-Discrete Kuramo-to-Sivashinsky Equation
摘要: 本文研究在上具有周期边界条件的半离散Kuramoto-Sivashinsky型方程解的长时间行为。首先利用Crank-Nicolson格式对其进行离散，然后证明了该方程在和上紧的全局吸引子的存在。
Abstract: We study the long-time behaviour with a periodical boundary condition of semi-discrete Kuramoto- Sivashinsky equation in First, we use the Crank-Nicolson scheme to discrete this equation to prove that such a semi-discrete equation possesses a global arrtactor in , then we also show that this global attractor is actually a compact set of and .
文章引用：董胜楠, 朱朝生. 半离散Kuramoto-Sivashinsky方程的全局吸引子[J]. 理论数学, 2013, 3(3): 223-227. http://dx.doi.org/10.12677/PM.2013.33033

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