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Key figures

Key figures

189 people work at LJLL

86 permanent staff

80 researchers and permanent lecturers

6 engineers, technicians and administrative staff

103 non-permanent staff

74 Phd students

15 post-doc and ATER

14 emeritus scholars and external collaborators

 

January 2022

 

Radu Ignat

Monday 21 October 2019

Radu Ignat (Université de Toulouse)
Minimality of degree-one Ginzburg-Landau vortex in the unit ball

Abstract :
In this talk, we will focus on the standard Ginzburg-Landau energy for N-dimensional maps defined in the unit ball that are equal to the identity on the boundary.
A special critical point is the so-called degree-one vortex map given by the identity map multiplied with a scalar radial profile. We will prove the minimality of this solution and also discuss about the uniqueness result.