【摘要】 研究了二维有界多连通区域上Navier Stokes方程的有限维行为 .在适当的边界条件下 ,证明了其解的存在惟一性及全局吸引子的存在性 ,并给出了全局吸引子的Hausdorff及分维数的上界估计更多还原

【Abstract】 Finite dimension behavior of Navier Stokes equations is studied for multi connected bounded domains in two dimensions. The existence and uniqueness of solution are proved under suitable boundary conditions. The upper bound estimates of the global attractor’s Hausdorff and fractal dimensions are also given.更多还原