4 papers · 1 filter
Gauge Symmetry Breaking in the Asymptotic Analysis of Self Dual Yang-Mills-Higgs Monopoles
Tristan Rivière
We consider the Self-Dual Yang Mills Higgs Lagrangian in 3 dimension. By adding a ''Gauge Mass'' term to this YMH Lagrangian in the form of norm of the connection we…
The Regularity of Critical Points to Scale-Invariant Curvature Energies in Dimension 4
Yann Bernard, Tian Lan, Dorian Martino +1
We consider a class of scale-invariant curvature energies defined on immersed -dimensional manifolds and prove that weak immersions that are critical points of such energies are…
Morse Index Stability for Sequences of Sacks-Uhlenbeck Maps into a Sphere
Francesca Da Lio, Tristan Rivière, Dominik Schlagenhauf
In this paper we consider sequences of -harmonic maps, , from a closed Riemann surface into the -dimensional sphere with uniform bounded energy. These…
Exploring the Unknown: the Work of Louis Nirenberg on Partial Differential Equations
Tristan Rivière
Partial differential equations are central objects in the mathematical modeling of natural and social sciences (sound propagation, heat diffusion, thermodynamics, electromagnetism,…