Global Attractor for Semi-Discrete Kuramo-to-Sivashinsky Equation
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 (2013) 半离散Kuramoto-Sivashinsky方程的全局吸引子。 理论数学， 3， 223-227. doi: 10.12677/PM.2013.33033
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