科研之友
微信
新浪微博
Facebook
分享链接
摘要
This paper deals with the asymptotic behavior, regularity criterion and global existence for the generalized Navier-Stokes equations. Firstly, an upper bound for the difference between the solution of our equation and the generalized heat equation in L2 space is proved. We optimize the upper bound of decay for the solutions and obtain the algebraic lower bound by using Fourier splitting method. Then, a new scaling invariant regularity criterion on the fractional derivative is established. Finally, global existence is obtained provided that the initial data are small enough.
