| Abstract: |
| In this talk we study the singularities in the simplified stochastic Ericksen--Leslie (SEL) system with a Ginzburg--Landau type approximation in three dimensions. The SEL system is a mathematical model that describes the hydrodynamics of nematic liquid crystals under the influence of random forces. We obtain the existence of a suitable weak martingale solution. Furthermore, we show that for the statistically stationary solutions, almost surely at any time the set of singular points is empty. This is based on joint work with Chuntian Wang. |
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