Profiles of blow-up solutions for the Gross-Pitaevskii equation
| Autor: | Shi-hui Zhu, Jian Zhang |
|---|---|
| Rok vydání: | 2010 |
| Předmět: |
Condensed Matter::Quantum Gases
Condensed Matter::Other Applied Mathematics Mathematical analysis Mathematics::Analysis of PDEs Harmonic potential Limiting law.invention Gross–Pitaevskii equation Mathematics::Algebraic Geometry Transformation (function) law Initial value problem Limit (mathematics) Bose–Einstein condensate Mathematical physics Mathematics |
| Zdroj: | Acta Mathematicae Applicatae Sinica, English Series. 26:597-606 |
| ISSN: | 1618-3932 0168-9673 |
| Popis: | This paper is concerned with the blow-up solutions of the Cauchy problem for Gross-Pitaevskii equation. In terms of Merle and Raphael’s arguments as well as Carles’ transformation, the limiting profiles of blow-up solutions are obtained. In addition, the nonexistence of a strong limit at the blow-up time and the existence of L 2 profile outside the blow-up point for the blow-up solutions are obtained. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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