The Asymptotic Stability of the Generalized 3D Navier-Stokes Equations

被引：0

作者：

Wang, Wen-Juan ^{[1
]}

Jia, Yan ^{[1
]}

机构：

[1] Anhui Univ, Sch Math Sci, Hefei 230601, Peoples R China

来源：

JOURNAL OF APPLIED MATHEMATICS | 2013年

关键词：

FINITE-DIFFERENCE METHOD; LARGE PERTURBATION; WEAK SOLUTIONS; STANDING-WAVE; BEHAVIOR; REGULARITY; SIMULATION;

D O I：

10.1155/2013/321427

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the stability issue of the generalized 3D Navier-Stokes equations. It is shown that if the weak solution u of the Navier-Stokes equations lies in the regular class Vu epsilon L-p (0,infinity;B-q,infinity(0)(R-3)), (2 alpha/p) + (3/q) = 2 alpha, 2 < q < infinity, 0 < alpha < 1, then every weak solution V(x,t) of the perturbed system converges asymptotically to u(x,t) as parallel to v(t)-u(t)parallel to(L2)-> 0, t ->infinity.

引用

页数：6

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