Journal of Jilin University Science Edition ›› 2025, Vol. 63 ›› Issue (2): 297-0306.

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Time-Dependent Attractor and Its Regularity of Hyperbolic Cahn-Hilliard Equation with Memory Term

CAO Yuyu, JIANG Jinping, LIU Dan, WANG Biqi   

  1. College of Mathematics and Computer Science, Yan’an University, Yan’an 716000, Shaanxi Province, China
  • Received:2024-04-09 Online:2025-03-26 Published:2025-03-26

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.

Key words: hyperbolic Cahn-Hilliard equation, linear memory term, time-dependent attractor, operator decomposition, regularity

CLC Number: 

  • O175.29