Orbital Stability: Analysis Meets Geometry

DOI10.1007/978-3-319-19015-0_3zbMath1347.37122arXiv1407.5951OpenAlexW1776092571MaRDI QIDQ2808154

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Publication date: 26 May 2016

Published in: Nonlinear Optical and Atomic Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.5951

zbMATH Keywords

applicationsorbital stabilitydynamical systems on Banach spacessymmetries and relative equilibria

Mathematics Subject Classification ID

Related Items (24)

Coordinates at small energy and refined profiles for the nonlinear Schrödinger equation ⋮ Stable NLS solitons in a cubic-quintic medium with a delta-function potential ⋮ On the long-time behavior for a damped Navier-Stokes-Bardina model ⋮ Analysis of stability and instability for standing waves of the double power one dimensional nonlinear Schrödinger equation ⋮ On ground state (in-)stability in multi-dimensional cubic-quintic Schrödinger equations ⋮ On an intercritical log-modified nonlinear Schrödinger equation in two spatial dimensions ⋮ Plane wave stability analysis of Hartree and quantum dissipative systems ⋮ A nonlinear Klein–Gordon equation on a star graph ⋮ Existence and asymptotic behavior of positive solutions for a class of locally superlinear Schrödinger equation ⋮ On ground states for the 2D Schrödinger equation with combined nonlinearities and harmonic potential ⋮ On quantum dissipative systems: ground states and orbital stability ⋮ Spectral instability of small-amplitude periodic waves of the electronic Euler–Poisson system ⋮ The double-power nonlinear Schrödinger equation and its generalizations: uniqueness, non-degeneracy and applications ⋮ Existence and Stability of Traveling Waves for Discrete Nonlinear Schrödinger Equations Over Long Times ⋮ Asymptotic stability of multi-soliton solutions for nonlinear Schrödinger equations with time-dependent potential ⋮ Stability of the multi-solitons of the modified Korteweg–de Vries equation ^* ⋮ Orbital stability vs. scattering in the cubic-quintic Schrödinger equation ⋮ Orbital stability via the energy-momentum method: the case of higher dimensional symmetry groups ⋮ Soliton-Potential Interactions for Nonlinear Schrödinger Equation in $\mathbb{R}^3$ ⋮ On the derivative nonlinear Schrödinger equation on the half line with Robin boundary condition ⋮ Banach Poisson-Lie groups and Bruhat-Poisson structure of the restricted Grassmannian ⋮ A survey on asymptotic stability of ground states of nonlinear Schrödinger equations. II ⋮ Stability of standing waves for a nonlinear Klein-Gordon equation with delta potentials ⋮ The linear and nonlinear instability of the Akhmediev breather

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