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