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Author:

邵曙光 (邵曙光.)

Indexed by:

CQVIP

Abstract:

研究了三维轴对称不可压缩Navier-Stokes方程解u(x,t)的奇异性结构理论.利用直接微分方法,推导建立了柱坐标系下Navier-Stokes方程的完整表示形式.假设流体的速度在点(x_0,t_0)达到最大值Q_0=|u(x_0,t_0)|,或者r|u(x,t)在点(x_0,t_0)达到它的最大值r_0|u(x_0,t_0),并且对Q_0以及(x_0,t_0)作一个时空的尺度变换,则当r_0Q_0充分大时,在一个给定的抛物型区域中,解u(x,t)在C_(local)~(2,1,α)范数下趋向于一个非零的常向量.

Keyword:

Navier-Stokes方程 轴对称 奇异性结构 柱面坐标

Author Community:

  • [ 1 ] 北京工业大学应用数理学院

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Source :

南阳师范学院学报

Year: 2015

Issue: 12

Volume: 14

Page: 1-6

Cited Count:

WoS CC Cited Count: 0

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 13

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