吉林大学学报（理学版）2016，Vol.54Issue(5)：937-944,8.DOI:10.13413/j.cnki.jdxblxb.2016.05.03
无阻尼弱耗散抽象发展方程全局吸引子的存在性
Existence of Global Attractors for Non-damping Weak Dissipative Abstract Evolution Equations
摘要
Abstract
We investigated the long-time dynamical behavior of the solutions for the non-damping weak dissipative abstract evolution equations by applying the theory of semigroup and the method of defining functionals.Based on the theory of contractive function and techniques of energy estimation, we proved the asymptotic compactness of semigroup when the nonlinearity satisfied the weaker dissipative condition, and obtained the existence of global attractors in the space Vθ × H × L 2μ(ℝ+ ;Vθ).关键词
抽象发展方程/记忆核/全局吸引子/收缩函数Key words
abstract evolution equation/memory kernel/global attractor/contractive function分类
数理科学引用本文复制引用
汪璇,张玉宝..无阻尼弱耗散抽象发展方程全局吸引子的存在性[J].吉林大学学报（理学版）,2016,54(5):937-944,8.基金项目
国家自然科学基金(批准号:11361053)和甘肃省自然科学基金(批准号:145RJZA112) （批准号:11361053）
