一类耦合非线性Schr?dinger方程组的集中现象

基金项目: 国家自然基金资助项目(10271084);四川省重点实验室四川师范大学计算机软件实验室基金资助项目

Concentration of Coupled Cubic Nonlinear Schrdinger Equations

1.
College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, P. R. China;

摘要: 在二维空间中考虑了一类非线性Schrdinger方程组．在能量守恒及质量守恒的基础上,通过对解的极限行为的研究,建立了一系列解在原点的局部恒等式,得到了方程组的径向对称爆破解的集中性质．
- 非线性Schrdinger方程 /
- 整体解 /
- 爆破 /
- 爆破点 /
- 集中
Abstract: A coupled nonlinear Schr^L dinger equations is considered in 2-D space. Based upon the conservation of mass and energy, local identities was established by the study of the limit behavior of the solutions, and concentration for the blow-up solutions with radially symmetry was obtained.
- nonlinear Schr^L dinger equation /
- global existence /
- blow up /
- blow-up point /
- concentration

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