关键词: 线性记忆, 有界吸收集, 算子分解, 指数吸引子

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