三维有界区域上的NS方程弱解的正则性

2016-03-22 13:53李新新
关键词:正则导数参考文献

李新新

【摘要】本文利用差商和弱导数的关系证明了三维有界区域上的Navier-Stokes方程在L2([0,T);H

参考文献:

[1]A.G.Ramm, Large?鄄time behavior of theweak solution to 3D Navier?鄄Stokes equations, arxiv:1209.1825v1 [math?鄄ph] 9 sep 2012

[2]Luigi C. Berselli, Giovanni P. Galdi, On the space–time regularity of C(0; T; Ln)?鄄very weak solutions to the Navier–Stokes equations, Nonlinear Analysis 58 (2004) 703 – 717

[3]H.Sohr, The Navier?鄄Stokes equations, Birkh¨auser, Basel, 2001.

[4]Evans L C.1998, Partial Differential Equations, Graduate Studies in Mathematics Vol.19, Rhode Island: American Mathematical Society.

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