Long-Time Dynamics of Variable-Coefficient Kirchhoff-Type Equations with Variable Rotational Inertia

本文研究了具变系数旋转惯性的含变系数Kirchhoff型方程的渐近行为的问题，在合理的假设条件 下，利用先验估计、 菜布尼兹公式及经典Galerkin方法，获得了方程整体解的存在唯一性和该类 方程的整体吸引子这一结果，推广了Kirchhoff方程关于整体吸引子的结果。This paper investigates the asymptotic behavior of a variable-coefficient Kirchhoff-type equation with rotational inertia. Under suitable assumptions, we establish the exis- tence and uniqueness of global solutions and prove the existence of a global attractor for the equation by employing a priori estimates, the Leibniz formula, and the classi- cal Galerkin method. These results extend the existing theory of global attractors for Kirchhoff-type equations.