17 citations · 25 across the 14 of their papers we have counts for
17 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…
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…
On the variational structure of breather solutions
Miguel A. Alejo, Claudio Muñoz, José M. Palacios
In this paper we give a systematic and simple account that put in evidence that many breather solutions of integrable equations satisfy suitable variational elliptic equations, whi…