摘要
三维的带有非线性阻尼|u|p-1u的Navier-Stokes方程的解的渐进行为,首先利用傅立叶分解法研究当p≥10/3时弱解的L2衰变,然后讨论当7/2≤p<5时强解的高阶导数的最优上界.
This paper concerns the asymptotic behavior of solutions to three-dimensional Navier-Stokes equations with nonlinear damping ｜ u ｜ p-1u.The L2 decay of weak solution with p ≥ 10 /3 was studied first by developing the Fourier splitting method.Then,the optimal upper bounds of the higher-order derivative of the strong solution were proved.
出处
《佳木斯大学学报（自然科学版）》
CAS
2013年第4期612-614,618,共4页
Journal of Jiamusi University：Natural Science Edition
基金
教育部博士点基金(20113401110001)
