| Abstract: |
| The Ericksen Leslie system is a hydrodynamical system in the theory of liquid crystal. It is a coupled system between Navier-Stokes equation and the transported harmonic map heat flow. In this talk we will present three global solutions to the Ericksen-Leslie system. They correspond to three global instability phenomena in nature. More precisely we will focus on oscillation instability, concentration instability and freedericksz transition. They are caused by non-trivial circulation Reynolds number, non-trivial twist rate and high external magnetic fields, respectively. |
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