Qiao Liu
Abstract:
In this article, we extend the well-known Serrin's blow-up criterion
for solutions of the 3-D incompressible Navier-Stokes equations to
the 3-D compressible nematic liquid crystal flows where the initial
vacuum is allowed. It is proved that for the initial-boundary value
problem of the 3-D compressible nematic liquid crystal flows in a
bounded domain, the strong solution exists globally if the velocity
satisfies the Serrin's condition and
-norm of
the gradient of the velocity is bounded.
Submitted September 12, 2012. Published April 24, 2013.
Math Subject Classifications: 76A15, 76N10, 35B65, 35Q35
Key Words: Compressible nematic liquid crystal flows; strong solution;
Serrin's criterion; blow-up criterion;
compressible Navier-Stokes equations.
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Qiao Liu College of Mathematics and Computer Science Hunan Normal University, Changsha Hunan 410081, China email: liuqao2005@163.com |
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