首页|Point defects in 2-D liquid crystals with a singular potential:Profiles and stability
Point defects in 2-D liquid crystals with a singular potential:Profiles and stability
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We study radial symmetric point defects with degree k/2 in the 2-D disk or R2 in the Q-tensor framework with a singular bulk energy,which is defined by Bingham closure.First,we obtain the existence of solutions for the profiles of radial symmetric point defects with degree k/2 in the 2-D disk or R2.Then,we prove that the solution is stable for|k|=1 and unstable for|k|＞1.Some identities are derived and utilized throughout the proof of existence and stability/instability.
radial symmetric point defectssingular bulk potentialBingham closurestability
Zhiyuan Geng、Wei Wang
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Basque Center for Applied Mathematics,Bilbao 48009,Spain
School of Mathematical Sciences,Zhejiang University,Hangzhou 310058,China
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