Journal of Jilin University Science Edition ›› 2022, Vol. 60 ›› Issue (1): 1-0014.

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Exponential Attractor of Kirchhoff Beam Equation with Linear Memory and Linear Damping

WANG Caixia, LIU Qiangqiang, MA Qiaozhen   

  1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China
  • Received:2021-04-21 Online:2022-01-26 Published:2022-01-26

Abstract: We considered exponential attractor of Kirchhoff beam equation with linear memory and linear damping. Firstly, we gave the bounded absorbing sets in the strong-weak space by using the method of energy estimation. Secondly, we proved  the existence of exponential attractors for Kirchhoff type beam equations with linear memory term and linear damping term in weak topological space by using the method of operator decomposition.

Key words: linear memory, bounded absorbing set, operator decomposition, exponential attractor

CLC Number: 

  • O175.24