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Universität Augsburg
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Universität Augsburg
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Dr. Federico Luigi Dipasquale
Scuola Superiore Meridionale di Napoli, Italien
spricht am
Donnerstag, 16. April 2026
um
15:45 Uhr
im
TUM, Boltzmann-3, Garching, Raum 03.08.011, Etage 3
über das Thema:
| Abstract: |
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We consider a variational model for ferronematics — composite materials formed by dispersing magnetic nanoparticles into a liquid crystal matrix. The model features two coupled order parameters: a Landau-de Gennes Q-tensor for the liquid crystal component and a magnetisation vector field M, both of them governed by a Ginzburg-Landau-type energy. The energy includes a singular coupling term favouring alignment between Q and M. We report on some recent results on the asymptotic behaviour of (not necessarily minimising) critical points as a small parameter ϵ tends to zero. Our main results show that the energy concentrates along distinct singular sets: the (rescaled) energy density for the Q-component concentrates, to leading order, on a finite number of singular points, while the energy density for the M-component concentrates along a one-dimensional rectifiable set. Moreover, we will see that the curvature of the singular set for the M-component (technically, the first variation of the associated varifold) is concentrated on a finite number of points, i.e. the singular set for the Q-component.
Joint work with G.~Canevari (University of Verona) and B.~Stroffolini (University of Naples Federico II). |
| Hierzu ergeht herzliche Einladung. |