中北大学学报（自然科学版）2012，Vol.33Issue(1)：28-31,4.DOI:10.3969/j.issn.1673-3193.2012.01.008
具有非线性热源项耦合杆系统的整体吸引子
Global Attractor for the Coupling Rod with Nonlinear Heat Source Term
摘要
Abstract
By using the classic theory of operator semigroup, the initial boundary value problem for a class of coupled elastic rod equation with strong damping and thermal effect was investigated. The existence and uniqueness of the solution were proved and a operator semigroup was introduced. According to the solution's continuity depending on the initial value, and the invariance of absorbing set, the existence of the global attractor for the mentioned system was proved by decomposing operator semigroup classically, with one part of the decomposed semigroup decaying exponentially and the other being compact.关键词
非线性/热源项/扇形算子/整体吸引子Key words
nonlinearity/ heat source term/ sectorial operator/ global attractor分类
数理科学引用本文复制引用
姚华珍,张建文..具有非线性热源项耦合杆系统的整体吸引子[J].中北大学学报（自然科学版）,2012,33(1):28-31,4.基金项目
国家自然科学基金资助项目(11172194) （11172194）
山西省自然科学基金资助项目(2010011008) （2010011008）
山西省青年科技研究基金资助项目(2011021002-2) （2011021002-2）
