A STUDY OF DEFECTS IN LIQUID CRYSTALS ON A PUNCTURED DISK

A STUDY OF DEFECTS IN LIQUID CRYSTALS ON A PUNCTURED DISK

In this paper, we consider the Landau-de Gennes energy functional for liquid crystals confined in a thin cylindrical domain and study defects of molecular directions in the system by applications of external fields.

1. Introduction

2. Existence of minimizers

3. The Euler-Lagrange equations and the radial external electric field

4. Results of computational experiments

5. Conclusion

References

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