학술논문
Blow-up criterion of classical solutions for the incompressible nematic liquid crystal flows
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Working Paper
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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 $
Comment: This paper has been withdrawn by the author due to a crucial sign error in equation 1 You may also update the abstract
Comment: This paper has been withdrawn by the author due to a crucial sign error in equation 1 You may also update the abstract