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: Jun-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
Appears in Collections:Articles