On the rigidity of nematic liquid crystal flow on S
نویسندگان
چکیده
In this paper we establish the uniformity property of a simplified Ericksen-Leslie system modelling the hydrodynamics of nematic liquid crystals on the two dimensional unit sphere S, namely the uniform convergence in L to a steady state exponentially as t tends to infinity. The main assumption, similar to Topping [15], concerns the equation of liquid crystal director d and states that at infinity time, a weak limit d∞ and any bubble ωi (1 ≤ i ≤ l) share a common orientation. As consequences, the uniformity property holds under various types of small initial data.
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