ASYMPTOTIC BEHAVIOR OF NONLINEAR SCHRÖDINGER SYSTEMS WITH LINEAR COUPLING-Reference-Cited by-同舟云学术

ASYMPTOTIC BEHAVIOR OF NONLINEAR SCHRÖDINGER SYSTEMS WITH LINEAR COUPLING

Published:2014-03 Issue:01 Volume:11 Page:159-183
ISSN:0219-8916
Container-title:Journal of Hyperbolic Differential Equations
language:en
Short-container-title:J. Hyper. Differential Equations

Author:

ANTONELLI PAOLO¹,WEISHÄUPL RADA MARIA²

Affiliation:

1. Centro di Ricerca Matematica Ennio De Giorgi, Scuola Normale Superiore, Piazza dei Cavalieri 3, 56100 Pisa, Italy

2. Faculty of Mathematics, Vienna University, Oskar-Morgenstern-Platz 1, 1090 Wien, Austria

Abstract

A system of two coupled nonlinear Schrödinger equations is investigated. In addition, a linear coupling which models an external driven field described by the Rabi frequency is considered. Asymptotics for large Rabi frequency are carried out and the convergence in the appropriate Strichartz space is proven. As a consequence, the global existence for the limiting system yields us a criterion for the long time behavior of the original system.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics,Analysis

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219891614500040

Reference32 articles.

1. Controlling collapse in Bose-Einstein condensates by temporal modulation of the scattering length

2. Theory of an Output Coupler for Bose-Einstein Condensed Atoms

3. Ground States of Two-component Bose-Einstein Condensates with an Internal Atomic Josephson Junction

4. Remarks on Nonlinear Schrödinger Equations with Harmonic Potential

Cited by 7 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Mass-transfer instability of ground-states for Hamiltonian Schrödinger systems;Journal d'Analyse Mathématique;2022-11-17

2. Gross-Pitaevskii non-linear dynamics for pseudo-spinor condensates;Journal of Nonlinear Mathematical Physics;2021

3. Optimal bilinear control of the coupled nonlinear Schrödinger system;Nonlinear Analysis: Real World Applications;2019-06

4. Review Article: Mathematical Models and Numerical Methods for Spinor Bose-Einstein Condensates;Communications in Computational Physics;2018

5. The electrostatic limit for the 3D Zakharov system;Nonlinear Analysis;2017-11