\(L^{2}\)-concentration of blow-up solutions for two-coupled nonlinear Schrödinger equations with harmonic potential. (English) Zbl 1308.35277
Summary: 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 \(L^{2}\) concentration for radially symmetric blow-up solutions is obtained.
MSC:
| 35Q55 | NLS equations (nonlinear Schrödinger equations) |
| 35B44 | Blow-up in context of PDEs |
| 82B10 | Quantum equilibrium statistical mechanics (general) |
Keywords:
\(L^2\) concentration; nonlinear Schrödinger equations; harmonic potential; Bose-Einstein condensatesReferences:
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