Dissipation caused by a vorticity field and generation of singularities in Madelung fluid

被引:8
作者
Caliari, M
Inverso, G
Morato, LM
机构
[1] Univ Verona, Fac Math Phys & Nat Sci, I-37100 Verona, Italy
[2] Elvis Elettron, Padua, Italy
来源
NEW JOURNAL OF PHYSICS | 2004年 / 6卷
关键词
D O I
10.1088/1367-2630/6/1/069
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We consider a generalization of Madelung. fluid equations, which was derived in the 1980s by means of a pathwise stochastic calculus of variations with the classical action functional. At variance with the original ones, the new equations allow us to consider velocity fields with vorticity. Such a vorticity causes dissipation of energy and it may concentrate, asymptotically, in the zeros of the density of the fluid. We study, by means of numerical methods, some Cauchy problems for the bidimensional symmetric harmonic oscillator and observe the generation of zeros of the density and concentration of the vorticity close to central lines and cylindrical sheets. Moreover, keeping the same initial data, we perturb the harmonic potential by a term proportional to the density of the fluid, thus obtaining an extension with vorticity of the Gross - Pitaevskii equation, and observe analogous behaviours.
引用
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页码:1 / 16
页数:16
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