Luc Nguyen

collaborators

2 papers

math.AP2025

Mountain pass for the Ginzburg-Landau energy in a strip: solitons and solitonic vortices

Amandine Aftalion, Luc Nguyen

Motivated by recent experiments, we study critical points of the Ginzburg-Landau energy in an infinite strip where phase imprinting is applied to half of the domain. We prove that…

math.AP2025

Zero-homogeneous and $O (2)$ -equivariant critical points of the Oseen-Frank energy with multiple Frank constants

Luc Nguyen

We give an existence and classification result for zero-homogeneous and $O (2)$ -equivariant critical points of the Oseen-Frank energy with multiple Frank constants. These critical p…

Mountain pass for the Ginzburg-Landau energy in a strip: solitons and solitonic vortices

Zero-homogeneous and O(2)-equivariant critical points of the Oseen-Frank energy with multiple Frank constants

Zero-homogeneous and $O (2)$ -equivariant critical points of the Oseen-Frank energy with multiple Frank constants