17 citations · 48 across the 16 of their papers we have counts for
16 papers
Asymptotic stability of the degree-one vortex in the abelian Yang-Mills-Higgs model
Jonas Luhrmann, José M. Palacios, Fabio Pusateri +2
We prove asymptotic stability of the degree-one vortex in the -dimensional abelian Yang-Mills-Higgs model at the self-dual coupling, for small equivariant perturbations in w…
Asymptotic stability of the degree-one vortex in the abelian Yang-Mills-Higgs model: Linear Theory
Jonas Luhrmann, José M. Palacios, Fabio Pusateri +2
We study the linearized dynamics near the degree-one vortex of the -dimensional abelian Yang-Mills-Higgs model at the self-dual coupling, restricted to equivariant perturbat…
Asymptotic stability of the degree-one vortex in the abelian Yang-Mills-Higgs model: Spectral Theory and Numerics
Jonas Luhrmann, José M. Palacios, Fabio Pusateri +2
This is the first of three papers proving asymptotic stability of the degree-one vortex under equivariant perturbations in the -dimensional abelian Yang-Mills-Higgs model at…
On the Gross-Pitaevskii evolution linearized around the degree-one vortex
Jonas Luhrmann, Wilhelm Schlag, Sohrab Shahshahani
We study the evolution of the Gross-Pitaevskii equation linearized around the Ginzburg-Landau vortex of degree one under equivariant symmetry. Among the main results of this work,…
Asymptotic stability of the sine-Gordon kink
Gong Chen, Jonas Luhrmann
We establish the full asymptotic stability of the sine-Gordon kink outside symmetry under small perturbations in weighted Sobolev norms. Our proof consists of a space-time resonanc…
Asymptotic stability of solitary waves for the 1D focusing cubic Schrödinger equation under even perturbations
Yongming Li, Jonas Luhrmann
We establish the full asymptotic stability of solitary waves for the focusing cubic Schrödinger equation on the line under small even perturbations in weighted Sobolev norms. The s…