L2-concentration of blow-up solutions for two-coupled nonlinear Schrödinger equations with harmonic potential

被引：1
|
作者：
Zhong-Xue Lü
Zuhan Liu
Changcheng Yao
机构：
[1] Xuzhou Normal University,School of Mathematical Science
[2] Yangzhou University,School of Mathematics
来源：
Indian Journal of Pure and Applied Mathematics | 2012年 / 43卷 / 1期
关键词：
concentration; nonlinear Schrödinger equations; harmonic potential; Bose-Einstein condensates;
D O I：
10.1007/s13226-012-0004-5
中图分类号：
学科分类号：
摘要：
In this paper, we consider the blow-up solutions of Cauchy problem for twocoupled nonlinear Schrödinger equations with harmonic potential. We establish the lower bound of blow-up rate. Furthermore, the L2 concentration for radially symmetric blow-up solutions is obtained.
引用
收藏
页码：49 / 70
页数：21
相关论文
共 50 条
  • [31] Dynamics of blow-up solutions for the Schrödinger–Choquard equation
    Cunqin Shi
    Kun Liu
    Boundary Value Problems, 2018
  • [32] Concentration of blow-up solutions for the coupled Schrodinger equations in R2
    Gao, Yanfang
    Wang, Zhiyong
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2015, 429 (01) : 591 - 601
  • [33] Global existence and blow-up of solutions for coupled bi-harmonic nonlinear wave equations
    Ghanmi, Radhia
    Saanouni, Tarek
    ANALYSIS-INTERNATIONAL MATHEMATICAL JOURNAL OF ANALYSIS AND ITS APPLICATIONS, 2023, 43 (01): : 31 - 47
  • [34] Self-similar Blow-Up Profiles for Slightly Supercritical Nonlinear Schrödinger Equations
    Yakine Bahri
    Yvan Martel
    Pierre Raphaël
    Annales Henri Poincaré, 2021, 22 : 1701 - 1749
  • [35] A note on log–log blow up solutions for stochastic nonlinear Schrödinger equations
    Chenjie Fan
    Yiming Su
    Deng Zhang
    Stochastics and Partial Differential Equations: Analysis and Computations, 2022, 10 : 1500 - 1514
  • [36] On the blow-up solutions for the nonlinear Schrödinger equation with combined power-type nonlinearities
    Binhua Feng
    Journal of Evolution Equations, 2018, 18 : 203 - 220
  • [37] Limit of the blow-up solution for the inhomogeneous nonlinear Schr?dinger equation?
    Peng, Congming
    Zhao, Dun
    Shi, Qihong
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2023, 205 : 642 - 658
  • [38] BLOW UP OF SOLUTIONS TO NONLINEAR NEUMANN BOUNDARY VALUE PROBLEM FOR SCHRÓDINGER EQUATIONS
    Hayashi, Nakao
    Kaikina, Elena I.
    Naumkin, Pavel I.
    Ogawa, Takayoshi
    DIFFERENTIAL AND INTEGRAL EQUATIONS, 2024, 37 (11-12) : 843 - 858
  • [39] Blow-Up of Solutions of the Mixed Problem for the Nonlinear Ginzburg–Landau–Schrödinger Evolution Equation
    Sh. M. Nasibov
    Differential Equations, 2003, 39 : 1144 - 1149
  • [40] Gradient blow-up of solutions to the Cauchy problem for the Schrödinger equation
    V. Zh. Sakbaev
    Proceedings of the Steklov Institute of Mathematics, 2013, 283 : 165 - 180
12345