A remark on the critical speed for vortex nucleation in the nonlinear Schrodinger equation

被引：28
|
作者：
Rica, S
机构：
[1] CNRS, Lab Phys Stat, F-75231 Paris 05, France
[2] Univ Paris 06, Lab Phys Stat, F-75231 Paris, France
[3] Univ Paris 07, Lab Phys Stat, F-75231 Paris 05, France
来源：
PHYSICA D | 2001年 / 148卷 / 3-4期
关键词：
superfluidity; vortex nucleation; transonic transition; nonlinear Schrodinger equation;
D O I：
10.1016/S0167-2789(00)00168-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The critical speed for the nucleation of quantized vortices in the nonlinear Schrodinger equation (NLS) for a flow around a disk in two spatial dimensions is discussed in this paper. This problem is closely related to a compressible flow around a disk. The flow is computed via a Janzen-Rayleigh expansion for low Mach number. The calculation leads to an estimate for the critical Mach number M-c = 0.36969(7)... (C) 2001 Elsevier Science B.V. All rights reserved.
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页码：221 / 226
页数：6
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