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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.