Da Costa, F. P., Grinfeld, M., Mottram, N. J. and Pinto, J. T. (2017) A mathematical study of a bistable nematic liquid crystal device. Mathematical Models and Methods in Applied Sciences, 17(12), pp. 2009-2034. (doi: 10.1142/S0218202507002546)
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Abstract
We consider a model of a bistable nematic liquid crystal device based on the Ericksen–Leslie theory. The resulting mathematical object is a parabolic PDE with nonlinear dynamic boundary conditions. We analyze well-posedness of the problem and global existence of solutions using the theory developed by Amann. Furthermore, using phase-plane methods, we give an exhaustive description of the steady state solutions and hence of the switching capabilities of the device.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Mottram, Professor Nigel |
| Authors: | Da Costa, F. P., Grinfeld, M., Mottram, N. J., and Pinto, J. T. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Mathematical Models and Methods in Applied Sciences |
| Publisher: | World Scientific Publishing |
| ISSN: | 0218-2025 |
| ISSN (Online): | 1793-6314 |
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