| Abstract: |
| For any bounded smooth domain in dimension two, we establish the convergence of weak solutions of the Ginzburg-Landau approximation of the simplified Ericksen-Leslie system to a weak solution of the simplified Ericksen-Leslie system associated with either uniaxial or biaxial nematics, as the Ginzburg-Landau parameter tends to zero. We will also show the compactness property of weak solutions to the simplified Ericksen-Leslie system associated with either uniaxial or biaxial nematics. |
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