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cond-mat.soft2024
Conic sections in ferroelectric nematics: experiments and mathematical modeling
Priyanka Kumari, Olexandr Kurochkin, Vassili G. Nazarenko +3
Domain structure of a fluid ferroelectric nematic is dramatically different from the domain structure of solid ferroelectrics since it is not restricted by rectilinear crystallogra…
math.AP2024
Towards an asymptotic analysis of the anisotropic Ginzburg-Landau model
Dmitry Golovaty, Petru Mironescu, Peter Sternberg
We develop a set of tools for the asymptotic analysis of minimizers of the anisotropic Ginzburg-Landau functional among the admissible competitors with Dirichlet boundary datum of…
math.AP2024
On sections of complex line bundles over surfaces minimizing a Ginzburg-Landau energy
Dmitry Golovaty, Alberto Montero, Etienne Sandier +1
In this work we extend some of the results of Ignat and Jerrard for Ginzburg-Landau vortices of tangent vector fields on two-dimensional Riemannian manifolds to the setting of comp…