带有指数阻尼项的三维Navier-Stokes方程吸引子的存在性

Existence of Attractors for the Three-Dimensional Navier-Stokes Equations with Exponential Damping

近些年,带有多项式阻尼项的Navier-Stokes方程被推导且得到研究,并且得出了很多重要结论。本文证明了带有指数阻尼项α(eβ| u |2−1)u(α>0,β>0)的三维Navier-Stokes方程在有界区域上整体吸引子的存在性。In recent years, the Navier-Stokes equations with polynomial damping have been derived and studied, and many important conclusions have been drawn. In this paper, we show that the three-dimensional Navier-Stokes equations with exponential damping α(eβ| u |2−1)u(α>0,β>0)have global attractors in the bounded domain.