17 citations · 25 across the 14 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…
Long finite time bubble trees for two co-rotational wave maps
Joachim Krieger, José M. Palacios
We show that the energy critical Wave Maps equation from into , restricted to the co-rotational setting, admits arbitrarily large numbers of…
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…
Local well-posedness for the Zakharov-Kuznetsov equation on the background of a bounded function
José Manuel Palacios
We prove the local well-posedness for the two-dimensional Zakharov-Kuznetsov equation in , for , on the background of an -fun…
Local well-posedness for the gKdV equation on the background of a bounded function
José Manuel Palacios
We prove the local well-posedness for the generalized Korteweg-de Vries equation in , , under general assumptions on the nonlinearity , on the backgro…
On long-time behavior of solutions of the Zakharov-Rubenchik/Benney-Roskes system
María E. Martínez, José M. Palacios
We study decay properties for solutions to the initial value problem associated with the one-dimensional Zakharov-Rubenchik/Benney-Roskes system. We prove time-integrability in gro…
Orbital stability and instability of periodic wave solutions for -models
Gong Chen, José M. Palacios
In this work we study the orbital stability/instability in the energy space of a specific family of periodic wave solutions of the general -model for all .…
Orbital stability and instability of periodic wave solutions for the -model
José Manuel Palacios
In this work we find explicit periodic wave solutions for the classical -model, and study their corresponding orbital stability/instability in the energy space. In particular,…
Orbital and asymptotic stability of a train of peakons for the Novikov equation
José Manuel Palacios
The Novikov equation is an integrable Camassa-Holm type equation with cubic nonlinearity. One of the most important features of this equation is the existence of peakon and multi-p…
On the asymptotic stability of the sine-Gordon kink in the energy space
Miguel A. Alejo, Claudio Muñoz, José M. Palacios
We consider the sine-Gordon (SG) equation in 1+1 dimensions. The kink is a static, non-symmetric exact solution to SG, stable in the energy space . It is well-known…
Asymptotic stability of peakons for the Novikov equation
José Manuel Palacios
The Novikov equation is a Camassa-Holm type equation with cubic nonlinearity. This paper aims to prove the asymptotic stability of peakons solutions under -perturb…
Dispersive blow-up and persistence properties for the Schrödinger-Korteweg-de Vries system
Felipe Linares, Jose Manuel Palacios
We study the dispersive blow-up phenomena for the Schrödinger-Korteweg-de Vries (S-KdV) system. Roughly, dispersive blow-up has being called to the development of point singulariti…
Nonlinear stability of 2-solitons of the Sine-Gordon equation in the energy space
Claudio Muñoz, José M. Palacios
In this article we prove that 2-soliton solutions of the sine-Gordon equation (SG) are orbitally stable in the natural energy space of the problem. The solutions that we study are…