21 citations · 41 across the 11 of their papers we have counts for
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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 wave turbulence theory of 2D gravity waves, II: propagation of randomness
Yu Deng, Alexandru Ionescu, Fabio Pusateri
This is the second part of our work initiating the rigorous study of wave turbulence for water waves equations. We combine energy estimates, normal forms, and probabilistic and com…
Linearized dynamic stability for vortices of Ginzburg-Landau evolutions
José M. Palacios, Fabio Pusateri
We consider the problem of dynamical stability for the -vortex of the Ginzburg-Landau model. Vortices are one of the main examples of topological solitons, and their dynamic sta…
Local Energy control in the presence of a zero-energy resonance
José M. Palacios, Fabio Pusateri
We consider the problem of stability and local energy decay for co-dimension one perturbations of the soliton of the cubic Klein-Gordon equation in dimensions. Our main resul…