標題: | Asymptotic limit of the Gross-Pitaevskii equation with general initial data |
作者: | Li FuCai Lin Chi-Kun Wu Kung-Chien 應用數學系 數學建模與科學計算所(含中心) Department of Applied Mathematics Graduate Program of Mathematical Modeling and Scientific Computing, Department of Applied Mathematics |
關鍵字: | Gross-Pitaevskii equation;asymptotic limit;incompressible Euler equation;general initial data |
公開日期: | 六月-2016 |
摘要: | This paper mainly concerns the mathematical justification of the asymptotic limit of the Gross-Pitaevskii equation with general initial data in the natural energy space over the whole space. We give a rigorous proof of the convergence of the velocity fields defined through the solutions of the Gross-Pitaevskii equation to the strong solution of the incompressible Euler equations. Furthermore, we also obtain the rates of the convergence. |
URI: | http://dx.doi.org/10.1007/s11425-015-5104-3 http://hdl.handle.net/11536/133743 |
ISSN: | 1674-7283 |
DOI: | 10.1007/s11425-015-5104-3 |
期刊: | SCIENCE CHINA-MATHEMATICS |
Volume: | 59 |
Issue: | 6 |
起始頁: | 1113 |
結束頁: | 1126 |
顯示於類別: | 期刊論文 |