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非局部二维Swift-Hohenberg方程的惯性流形 被引量:7

An inertial manifold of the 2D Swift-Hohenberg equation
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摘要 在非线性正核G(r)的有界性及光滑性条件下,给出非局部二维Sw ift-Hohenberg方程的惯性流形存在性的证明. It is established for that an inertial manifold of the nonlocal 2D Swift -Hohenberg equation, under the boundaries and smoothness of nonlinear positive kernel.
作者 林国广
出处 《云南大学学报(自然科学版)》 CAS CSCD 北大核心 2009年第4期334-340,共7页 Journal of Yunnan University(Natural Sciences Edition)
基金 国家自然科学基金资助项目(10861014)
关键词 局部Swift-Hohenberg方程 非局部二维Swift-Hohenberg方程 整体解 整体吸引子 惯性流形 local Swift - Hohenberg equation nonlocal 2D Swift - Hohenberg equation global solution global attractor inertial manifold
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