吉林大学学报（理学版）2025，Vol.63Issue(5)：1276-1292,17.DOI:10.13413/j.cnki.jdxblxb.2025004
带时间依赖记忆核的非局部非经典扩散方程解的长时间动力学行为
Long-Time Dynamical Behavior of Solutions for Nonlocal Nonclassical Diffusion Equation with Time-Dependent Memory Kernels
摘要
Abstract
When the nonlinear term satisfied the subcritical growth condition,long-time dynamical behavior of solutions for nonlocal nonclassical diffusion equation with time-dependent memory kernels was discussed in H10(Ω)×L2μt(R+;H10(Ω)).We first used Galerkin approximation method to obtain the well-posedness and regularity of the solution,and then used decomposition technique and integral estimation method to prove the existence and regularity of the time-dependent global attractors.关键词
非局部非经典扩散方程/时间依赖记忆核/时间依赖全局吸引子/正则性Key words
nonlocal nonclassical diffusion equation/time-dependent memory kernel/time-dependent global attractor/regularity分类
数理科学引用本文复制引用
汪璇,史慧霞..带时间依赖记忆核的非局部非经典扩散方程解的长时间动力学行为[J].吉林大学学报（理学版）,2025,63(5):1276-1292,17.基金项目
国家自然科学基金(批准号:11961060 （）
11961059 （）
12061062). （）
