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A note on Liouville theorem for steady Q-tensor system of liquid crystal
  • Lai Ning-An,
  • Wu Jiayan
Lai Ning-An
Lishui University
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Wu Jiayan
Zhejiang University
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Abstract

We study the Liouville theorem for steady Q-tensor system of liquid crystal in $\R^3$. Assuming that $u\in L^{\frac 92, \infty}(\R^3)\cap \dot{H}(\R^3)$ and $Q\in H^2(\R^3)$, we show that the steady system admits only trivial solution $u=0, Q=0$.