On orbital instability of spectrally stable vortices of the NLS in the plane
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Publication:513888
DOI10.1007/s00332-016-9322-9zbMath1360.35240arXiv1508.03146OpenAlexW1877101245MaRDI QIDQ513888
Publication date: 8 March 2017
Published in: Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1508.03146
Related Items (10)
On small energy stabilization in the NLKG with a trapping potential ⋮ Self-bound vortex states in nonlinear Schrödinger equations with LHY correction ⋮ Existence and Asymptotic Stability of Quasi-Periodic Solutions of Discrete NLS with Potential ⋮ Nonlinear Bound States in a Schrödinger--Poisson System with External Potential ⋮ Center stable manifold for ground states of nonlinear Schrödinger equations with internal modes ⋮ On asymptotic stability of ground states of some systems of nonlinear Schrödinger equations ⋮ Drift of Spectrally Stable Shifted States on Star Graphs ⋮ Long time oscillation of solutions of nonlinear Schrödinger equations near minimal mass ground state ⋮ A survey on asymptotic stability of ground states of nonlinear Schrödinger equations. II ⋮ Stabilization of small solutions of discrete NLS with potential having two eigenvalues
Cites Work
- Asymptotic stability of high-dimensional Zakharov-Kuznetsov solitons
- Freezing of energy of a soliton in an external potential
- Asymptotic stability for standing waves of a NLS equation with subcritical concentrated nonlinearity in dimension three: neutral modes
- Nonlinear instability of linearly unstable standing waves for nonlinear Schrödinger equations
- Stability of bound states of Hamiltonian PDEs in the degenerate cases
- Small solutions of nonlinear Schrödinger equations near first excited states
- On small energy stabilization in the NLS with a trapping potential
- Instability of bound states for abstract nonlinear Schrödinger equations
- The Hamiltonian structure of the nonlinear Schrödinger equation and the asymptotic stability of its ground states
- Dynamics of nonlinear Schrödinger/Gross-Pitaevskii equations: mass transfer in systems with solitons and degenerate neutral modes
- Stability theory of solitary waves in the presence of symmetry. II
- Instability of vortex solitons for 2D focusing NLS
- Vortex solitons for 2D focusing nonlinear Schrödinger equation.
- On instability of excited states of the nonlinear Schrödinger equation
- Orbital stability of standing waves for some nonlinear Schrödinger equations
- An instability mechanism for radially symmetric standing waves of a nonlinear Schrödinger equation
- Stability theory of solitary waves in the presence of symmetry. I
- Resonances, radiation damping and instability in Hamiltonian nonlinear wave equations
- Perturbation theory for eigenvalues and resonances of Schrödinger hamiltonians
- Puiseux series for resonances at an imbedded eigenvalue
- Asymptotic stability of solitary waves
- Classification of asymptotic profiles for nonlinear Schrödinger equations with small initial data
- Asymptotic dynamics of nonlinear Schrödinger equations with many bound states.
- Nonlinear wave and Schrödinger equations. I: Instability of periodic and quasiperiodic solutions
- Spectrally stable encapsulated vortices for nonlinear Schrödinger equations
- Nonradial solutions of a semilinear elliptic equation in two dimensions
- On asymptotic stability of solitons in a nonlinear Schrödinger equation
- An example of stable excited state on nonlinear Schrödinger equation with nonlocal nonlinearity.
- On weak interaction between a ground state and a trapping potential
- On asymptotic stability in energy space of ground states of NLS in 2D
- On the existence of hylomorphic vortices in the nonlinear Klein-Gordon equation
- On weak interaction between a ground state and a non-trapping potential
- Relaxation of solitons in nonlinear Schrödinger equations with potential
- Asymptotic stability of solitons of the gKdV equations with general nonlinearity
- A remark on linearly unstable standing wave solutions to NLS
- Wave operators and similarity for some non-selfadjoint operators
- Instability of bound states for 2D nonlinear Schrö\-dinger equations
- Multichannel nonlinear scattering for nonintegrable equations
- Asymptotic stability in the energy space for dark solitons of the Gross-Pitaevskii equation
- Nonlinear Instabilities of Multi-Site Breathers in Klein-Gordon Lattices
- Asymptotic stability of the black soliton for the Gross–Pitaevskii equation
- Kink dynamics in the $\phi ^4$ model: Asymptotic stability for odd perturbations in the energy space
- On the Negative Index Theorem for the Linearized Non-Linear Schrödinger Problem
- Spectral analysis for matrix Hamiltonian operators
- Equipartition of Mass in Nonlinear Schrödinger/Gross–Pitaevskii Equations
- On dispersion of small energy solutions of the nonlinear Klein Gordon equation with a potential
- Stable Directions for Degenerate Excited States of Nonlinear Schrödinger Equations
- Spectra of positive and negative energies in the linearized NLS problem
- ASYMPTOTIC STABILITY OF NONLINEAR SCHRÖDINGER EQUATIONS WITH POTENTIAL
- Bifurcations from the endpoints of the essential spectrum in the linearized nonlinear Schrödinger problem
- Linear Problems Related to Asymptotic Stability of Solitons of the Generalized KdV Equations
- On Threshold Eigenvalues and Resonances for the Linearized NLS Equation
- Modulational Stability of Ground States of Nonlinear Schrödinger Equations
- Lyapunov stability of ground states of nonlinear dispersive evolution equations
- Linearized instability for nonlinear schrödinger and klein-gordon equations
- Instability of standing waves for non-linear Schrödinger-type equations
- Encapsulated-Vortex Solutions to Equivariant Wave Equations: Existence
- Purely nonlinear instability of standing waves with minimal energy
- Asymptotic dynamics of nonlinear Schrödinger equations: Resonance-dominated and dispersion-dominated solutions
- STABLE DIRECTIONS FOR EXCITED STATES OF NONLINEAR SCHRÖDINGER EQUATIONS
- On the Darboux and Birkhoff steps in the asymptotic stability of solitons
- Embedded eigenvalues and the nonlinear Schrödinger equation
- Spectral Stability of Vortices in Two-Dimensional Bose–Einstein Condensates via the Evans Function and Krein Signature
- Graphical Krein Signature Theory and Evans--Krein Functions
- On asymptotic stability of moving ground states of the nonlinear Schrödinger equation
- SELECTION OF THE GROUND STATE FOR NONLINEAR SCHRÖDINGER EQUATIONS
- Stability of spinning ring solitons of the cubic-quintic nonlinear Schrödinger equation
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