3 papers
math.AP2026
The Ginzburg-Landau system with general potential: maximum principle and gradient estimates
Radu Ignat, Luc Nguyen, Valeriy Slastikov +1
We study critical points of the Ginzburg-Landau energy functional $$\mathcal{F}_\varepsilon[u] = \int_Ω\Big[ \frac{1}{2}|\nabla u|^2 + \frac{1}{2\varepsilon^2} W(1 - |u|^2)\Big]\,…
math.AP2025
Asymptotic minimality of one-dimensional transition profiles in Aviles-Giga type models: an approach via 1-currents
Radu Ignat, Roger Moser
For vector fields on a two-dimensional domain, we study the asymptotic behaviour of Modica-Mortola (or Allen-Cahn) type functionals under the assumption that the divergence converg…
math.AP2025
The conformal limit for bimerons in easy-plane chiral magnets
Bin Deng, Radu Ignat, Xavier Lamy
We study minimizers of the energy functional \begin{align*} E_Ï(\boldsymbol{m}) = \int_{\mathbb R^2} \bigg(\frac 12 |\nabla\boldsy…