Orbital instability of stationary states with bump(s) for NLS on Star Graphs
Year: 2017
Type: preprint
Abstract: In this paper, we consider a nonlinear Schr\{o}dinger (NLS) equation on a star graph $\Gamma$ with a $\delta$ interaction at the vertex. The strength of the interaction is defined by a fixed value $\alpha \in \mathbb{R}$. We prove that, for every $\alpha \neq 0$, the stationary states with bumps are orbitally unstable under the NLS flow.
Source: arXiv (Cornell University)
Author: Adilbek Kairzhan
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2771360109