Blowup criterion of classical solutions for the incompressible nematic liquid crystal flows
Abstract
In this paper, we consider the short time classical solution to a simplified hydrodynamic flow modeling incompressible, nematic liquid crystal materials in dimension three. We establish a criterion for possible breakdown of such solutions at a finite time. More precisely, if $(u,d)$ is smooth up to time $T$ provided that $\int_0^T\nabla\times u(t,\cdot)_{BMO(\mathbb R^3)}+\nabla d(t,\cdot)^8_{L^4(\mathbb R^3)}dt<\infty $
 Publication:

arXiv eprints
 Pub Date:
 October 2012
 arXiv:
 arXiv:1210.4140
 Bibcode:
 2012arXiv1210.4140G
 Keywords:

 Mathematics  Analysis of PDEs;
 Condensed Matter  Soft Condensed Matter
 EPrint:
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