离散Bose-Einstein方程的全局吸引子与熵的估计

Existence and Kolmogorov ε-entropy of Global Attractor for a Discrete Bose-Einstein Equation

本文讨论了离散的Bose-Einstein方程组全局吸引子与熵的估计。证明了该方程组的解算子生成的半群存在全局吸引子,通过截断估计给出了全局吸引子的Kolmogorove ε-熵的上界估计。

This article studies that the existence and Kolmogorov ε-entropy of global attractor for a discrete Bose-Einstein equation. Firstly, we prove the existence of the global attractor for the semigroup associated with the solution operator. Then we give an upper bound of the Kolmogorov ε- entropy for the obtained global attractor.