78 citations · 188 across the 31 of their papers we have counts for
5 papers · 2 filters
Asymmetric domain walls of small angle in soft ferromagnetic films
Lukas Döring, Radu Ignat
We focus on a special type of domain walls appearing in the Landau-Lifshitz theory for soft ferromagnetic films. These domain walls are divergence-free -valued transition laye…
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…