Navier-Stokes-omega;
Turbulence model;
Global well-posedness;
D O I:
10.1016/j.aml.2011.05.018
中图分类号:
O29 [应用数学];
学科分类号:
070104 ;
摘要:
First, we prove that the local solution to the Navier-Stokes-omega equations is unique when the spatial dimension n satisfies 3 <= n <= 6. Then, a regularity criterion is established for any n >= 3. As a corollary, it is proved that the smooth solution exists globally when 3 <= n <= 6. (C) 2011 Elsevier Ltd. All rights reserved.