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A variational model for two-dimensional ferronematics - Part II

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DNMW06 - Recent challenges in the mathematical design of new materials

This talk is the first of two parts, presented jointly with Giacomo Canevari. Ferronematics are composite materials characterised by the coupling between magnetic particles and nematic liquid crystals. In these talks, we will present some results on a two-dimensional model for ferronematics in confined geometries. The model is based on the coupling between a polar order parameter – the magnetisation vector, which describes the magnetic inclusions – and a nonpolar one – the Landau-de Gennes Q-tensor, which describes the liquid crystal matrix. In this second talk, we will focus on non-minimising critical points and study concentration of the energy on singular points and line, in a suitable regime of parameters. This talk is based on a joint work with G. Canevari and F. Dipasquale.

This talk is part of the Isaac Newton Institute Seminar Series series.

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