Article ID Journal Published Year Pages File Type
8904457 Acta Mathematica Scientia 2017 7 Pages PDF
Abstract
In this paper, we consider the short time classical solution to a simplified hydrodynamic flow modeling incompressible, nematic liquid crystal materials in R3. 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 ∫0T||∇×u(t,⋅)||BMO(R3)+||∇d(t,⋅)||L4(R3)8dt<∞.
Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)
Authors
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