| Abstract: |
| In this talk, we study the dynamical instability of liquid crystals induced by applied magnetic fields, which is the so-called Freedericksz transition. The model under consideration is the simplified Ericksen-Leslie system for the hydrodynamic flow of a nematic liquid crystal with the magnetic effect. We show that if the magnetic field strength exceeds a threshold, any global solution converges exponentially to a unique nontrivial equilibrium. It is also proved that below the threshold, the equilibrium of the orientation angle is zero. This is based on joint work with Yuan Chen and Yong Yu. |
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