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arXiv · 1506.01462

From the Q-tensor flow for the liquid crystal to the Harmonic map flow

Meng Wang·Wendong Wang·Zhifei Zhang
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Abstract

In this paper, we consider the solutions of the relaxed Q-tensor flow in $\R^3$ with small parameter $\epsilon$. Firstly, we show that the limiting map is the so called harmonic map flow; Secondly, we also present a new proof for the global existence of weak solution for the harmonic map flow in three dimensions as in \cite{struwe88} and \cite{keller}, where Ginzburg-Landau approximation approach was used.

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Meng Wang, Wendong Wang, Zhifei Zhang. 2015-06-04. From the Q-tensor flow for the liquid crystal to the Harmonic map flow. https://arxiv.org/abs/1506.01462

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