Mathematics

CLC number: O175

The Global Attractor of 2D g-Navier-Stokes Equations with Damping and Delay

含阻尼和时滞项的二维g-Navier-Stokes方程的全局吸引子

College of Mathematics and Computer Science, Yan′an University, Yan′an 716000, Shaanxi, China

Received: 5 September 2024

Abstract

In this article, the global attractors of 2D g-Navier-Stokes equations are obtained in the space of $C_{H_g}$ and $C_{V_g}$ respectively. When the external force $f$ is sufficiently small, the studies indicate that the global attractor in $C_{H_g}$ is equal to the global attractor in $C_{V_g}$.

摘要

本文在空间$C_{H_g}$和空间$C_{V_g}$上分别得到了二维g-Navier-Stokes 方程的全局吸引子。研究结果表明，当外力项$f$充分小时，在$C_{H_g}$和$C_{V_g}$上得到的全局吸引子是相等的。