吉林大学学报（理学版）2025，Vol.63Issue(2)：297-306,10.DOI:10.13413/j.cnki.jdxblxb.2024153
具有记忆项的双曲型Cahn-Hilliard方程时间依赖吸引子及其正则性
Time-Dependent Attractor and Its Regularity of Hyperbolic Cahn-Hilliard Equation with Memory Term
摘要
Abstract
We considered the long-term dynamic behavior of solutions to hyperbolic Cahn-Hilliard equations with linear memory terms.Under the action of time-dependent velocity propagation,the existence and regularity of the attractor in time-dependent space of the equation were proved by using asymptotic prior equation,operator decomposition method and modified pullback attractor theory.关键词
双曲型Cahn-Hilliard方程/线性记忆项/时间依赖吸引子/算子分解/正则性Key words
hyperbolic Cahn-Hilliard equation/linear memory term/time-dependent attractor/operator decomposition/regularity分类
数学引用本文复制引用
曹宇宇,姜金平,刘丹,王碧琪..具有记忆项的双曲型Cahn-Hilliard方程时间依赖吸引子及其正则性[J].吉林大学学报（理学版）,2025,63(2):297-306,10.基金项目
国家自然科学基金(批准号:12261090)、陕西省数理基础科学研究项目(批准号:23JSY050)、陕西省大学生创新训练计划项目(批准号:S202410719100)和延安大学2022年度校级教改项目(批准号:YDALK202203). （批准号:12261090）
