%0 Journal Article
%T H(O)LDER CONTINUOUS INERTIAL MANIFOLD FOR NONLINEAR EVOLUTIONARY EQUATION<br>非线性发展方程的H(o)lder连续惯性流形
%A GUO Liuxiao
%A XU Zhenyuan
%A ZHANG Rong
%A <br>过榴晓
%A 徐振源
%A 张荣
%J 系统科学与数学
%D 2009
%I 
%X The H\"older continuous inertial manifold for nonlinear evolutionary equation is introduced. Original inertial manifold is finite dimensional positive invariant Lipschitz manifold and is a convenient tool to describe a long-time behavior of dynamic system. Its' drawback is that the ``spectral gap" condition is needed. The H\"older continuous inertial manifold proposed in this paper is still finite-dimensional positive invariant, and only H\"older continuity is needed, the ``spectral gap" condition can be ignored. The intersection set of a H\"older continuous inertial manifold and an exponential attractor has exponential attraction. The infinite dimensional dynamic system can be reduced as finite dimensional ordinary differential equations on a H\"older continuous inertial manifold.
%K H\"older continuous inertial manifold
%K exponential attractor continuous inertial manifold
%K infinite dimensional dynamic system
%K exponential attractor<br>H\"older连续惯性流形
%K 指数吸引子连续惯性流形
%K 无穷维动力系统
%K 指数吸引子.
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=0CD45CC5E994895A7F41A783D4235EC2&aid=8ADD2AAF129840BE79581790DBC268C7&yid=DE12191FBD62783C&vid=771469D9D58C34FF&iid=59906B3B2830C2C5&sid=95B0C98E7814901D&eid=ADEE3E9286A455E3&journal_id=1000-0577&journal_name=系统科学与数学&referenced_num=0&reference_num=6