Asymptotic limit of the Gross-Pitaevskii equation with general initial data

作者：Li FuCai^*; Lin Chi-Kun; Wu Kung-Chien

来源：Science China Mathematics, 2016, 59(6): 1113-1126.

DOI：10.1007/s11425-015-5104-3

• Gross-Pitaevskii equation
• asymptotic limit
• incompressible Euler equation
• general initial data

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.

• 出版日期2016-6
• 单位南京大学; 西交利物浦大学