5 citations · 9 across the 13 of their papers we have counts for
4 papers · 1 filter
Dimension reduction and optimality of the uniform state in a Phase-Field-Crystal model involving a higher order functional
Radu Ignat, Hamdi Zorgati
We study a Phase-Field-Crystal model described by a free energy functional involving second order derivatives of the order parameter in a periodic setting and under a fixed mass co…
Energy minimisers of prescribed winding number in an -valued nonlocal Allen-Cahn type model
Radu Ignat, Roger Moser
We study a variational model for transition layers in thin ferromagnetic films with an underlying functional that combines an Allen-Cahn type structure with an additional nonlocal…
Uniqueness of degree-one Ginzburg-Landau vortex in the unit ball in dimensions
Radu Ignat, Luc Nguyen, Valeriy Slastikov +1
For , we consider the Ginzburg-Landau functional for -valued maps defined in the unit ball with the vortex boundary data on $\partial…
A DeGiorgi type conjecture for minimal solutions to a nonlinear Stokes equation
Radu Ignat, Antonin Monteil
We study the one-dimensional symmetry of solutions to the nonlinear Stokes equation $$ \begin{cases} -Δu+\nabla W(u)=\nabla p&\text{in }\mathbb{R}^d,\\ \nabla\cdot u=0&\text{in }\m…