R. Ignat

activity

20172026

RP^{d - 1}

-valued maps in

B V

and applications to uniaxial

Q

-tensors. With an appendix on an intrinsic

B V

-energy for manifold-valued maps

5 citations · 9 across the 14 of their papers we have counts for

collaborators

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2 papers · 1 filter

math.AP2023

Minimality of vortex solutions to Ginzburg--Landau type systems for gradient fields in the unit ball in dimension $N \geq 4$

Radu Ignat, Mickael Nahon, Luc Nguyen

We prove that the degree-one vortex solution is the unique minimizer for the Ginzburg--Landau functional for gradient fields (that is, the Aviles--Giga model) in the unit ball $B^N…

math.AP2023

Vortex sheet solutions for the Ginzburg-Landau system in cylinders: symmetry and global minimality

Radu Ignat, Mircea Rus

We consider the Ginzburg-Landau energy $E_{ε}$ for $R^{M}$ -valued maps defined in a cylinder shape domain $B^{N} \times (0, 1)^{n}$ satisfying a degree-one vortex boundary condition…

Minimality of vortex solutions to Ginzburg--Landau type systems for gradient fields in the unit ball in dimension N≥4

Vortex sheet solutions for the Ginzburg-Landau system in cylinders: symmetry and global minimality

Minimality of vortex solutions to Ginzburg--Landau type systems for gradient fields in the unit ball in dimension $N \geq 4$