78 citations · 84 across the 5 of their papers we have counts for
5 papers
Vortex sheet solutions for the Ginzburg-Landau system in cylinders: symmetry and global minimality
Radu Ignat, Mircea Rus
We consider the Ginzburg-Landau energy for -valued maps defined in a cylinder shape domain satisfying a degree-one vortex boundary condition…
A regularizing property of the -eikonal equation
Camillo De Lellis, Radu Ignat
We prove that any -dimensional solution of the eikonal equation has locally Lipschitz gradient except at a locally finite number of vo…
A thin-film limit in the Landau-Lifshitz-Gilbert equation relevant for the formation of Néel walls
Raphael Cote, Radu Ignat, Evelyne Miot
We consider an asymptotic regime for two-dimensional ferromagnetic films that is consistent with the formation of transition layers (Néel walls). We first establish compactness of…
Stability of the melting hedgehog in the Landau-de Gennes theory of nematic liquid crystals
Radu Ignat, Luc Nguyen, Valeriy Slastikov +1
We investigate stability properties of the radially symmetric solution corresponding to the vortex defect (so called "melting hedgehog") in the framework of the Landau - de Gennes…
Uniqueness results for an ODE related to a generalized Ginzburg-Landau model for liquid crystals
Radu Ignat, Luc Nguyen, Valeriy Slastikov +1
We study a singular nonlinear ordinary differential equation on intervals with , motivated by the Ginzburg-Landau models in superconductivity and Landau-de Ge…