论文标题

Gross-Pitaevskii方程的几乎平行涡流丝的动力学

Dynamics of nearly parallel vortex filaments for the Gross-Pitaevskii equation

论文作者

Jerrard, R. L., Smets, D.

论文摘要

在90年代,克莱因,马格达和达马达兰已正式得出了简化的渐近运动定律,以在三维欧拉方程的背景下,用于进化几乎平行的涡流丝,用于不可压缩的流体。在目前的工作中,我们严格地在毛taevskii方程的背景下严格得出相应的渐近运动定律。

In the nineties, Klein, Majda and Damodaran have formally derived a simplified asymptotic motion law for the evolution of nearly parallel vortex filaments in the context of the three dimensional Euler equation for incompressible fluids. In the present work, we rigorously derive the corresponding asymptotic motion law in the context of the Gross-Pitaevskii equation.

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