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arXiv · 1404.3254

Global Strong Solutions to Incompressible Ericksen-Leslie System in $\mathbb R^3$

Wenya Ma·Jinkai Li·Huajun Gong
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Abstract

In this paper, we consider the Cauchy problem to the Ericksen-Leslie system of liquid crystals in $\mathbb R^3$. Global well-posedness of strong solutions are obtained under the condition that the product of $\|u_0\|_2+\|\nabla d_0\|_2$ and $\|\nabla u_0\|_2+\|\nabla^2d_0\|_2$ is suitably small. This result can be viewed as a supplement to the local existence and blow up criteria discussed in \cite{Hong1}.

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Wenya Ma, Jinkai Li, Huajun Gong. 2014-04-12. Global Strong Solutions to Incompressible Ericksen-Leslie System in $\mathbb R^3$. https://arxiv.org/abs/1404.3254

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