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On the stability of shear flows in nematics |
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| Authors: | R Martins J P Casquilho |
| Institution: | 1. Departamento de Matemática, Faculdade de Ciências e Tecnologia, Universidade Nova de Lisboa, Quinta da Torre, 2829-516, Caparica, Portugal 2. CMA, Faculdade de Ciências e Tecnologia, Universidade Nova de Lisboa, Quinta da Torre, 2829-516, Caparica, Portugal 3. Departamento de Física, Faculdade de Ciências e Tecnologia, Universidade Nova de Lisboa, Quinta da Torre, 2829-516, Caparica, Portugal 4. CENIMAT, Faculdade de Ciências e Tecnologia, Universidade Nova de Lisboa, Quinta da Torre, 2829-516, Caparica, Portugal |
| Abstract: | A theoretical study of the effect of an applied magnetic field on the stability of the flow of nematic slabs subjected to an arbitrary shear is presented. Homeotropic boundary conditions with strong anchoring and a constant magnetic field applied perpendicular to the plates are considered. We discuss the general conditions on the control parameters under which the flow is stable, for a low molecular weight liquid crystal and for a polymer liquid crystal, and obtain estimations of the critical values. |
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