33 citations · 82 across the 28 of their papers we have counts for
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math.AP2021
Motion of vortices for the extrinsic Ginzburg-Landau flow for vector fields on surfaces
Giacomo Canevari, Antonio Segatti
We consider the gradient flow of a Ginzburg-Landau functional of the type \[ F_\varepsilon^{\mathrm{extr}}(u):=\frac{1}{2}\int_M \left|D u\right|_g^2 + \left|\mathscr{S} u\right|^2…
math.AP2021
Dynamics of Ginzburg-Landau vortices for vector fields on surfaces
Giacomo Canevari, Antonio Segatti
In this paper we consider the gradient flow of the following Ginzburg-Landau type energy \[ F_\varepsilon(u) := \frac{1}{2}\int_{M}\vert D u\vert_g^2 +\frac{1}{2\varepsilon^2}\left…
math.AP2021★ 1 cited
Hölder regularity and convergence for a non-local model of nematic liquid crystals in the large-domain limit
Giacomo Canevari, Jamie M. Taylor
We consider a non-local free energy functional, modelling a competition between entropy and pairwise interactions reminiscent of the second order virial expansion, with application…