標題: | ANELASTIC APPROXIMATION OF THE GROSS-PITAEVSKII EQUATION FOR GENERAL INITIAL DATA |
作者: | 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;singular limit;anelastic system |
公開日期: | 2014 |
摘要: | We perform a rigorous analysis of the anelastic approximation for the Gross-Pitaevskii equation with x-dependent chemical potential. For general initial data and periodic boundary condition, we show that as epsilon -> 0, equivalently the Planck constant tends to zero, the density vertical bar psi(epsilon)vertical bar(2) converges toward the chemical potential rho(0)(x) and the velocity field converges to the anelastic system. |
URI: | http://hdl.handle.net/11536/136242 |
ISBN: | 978-1-60133-017-8 |
期刊: | HYPERBOLIC PROBLEMS: THEORY, NUMERICS, APPLICATIONS |
Volume: | 8 |
起始頁: | 1039 |
結束頁: | 1046 |
顯示於類別: | 會議論文 |