Mathematical models of superfluid turbulence

氦II超流湍流的实验和理论研究已有多年。不同的理论已被用来阐明不同方面的粘性涡运动。除了微观精确的GP模型不能用于研究大尺度动力学外，所有的模型在很大程度上都是唯象的。我们的研究将允许这些理论之间的交叉受精，并将取代大多数现象学模型与严格推导的随机方程。

Superfluid turbulence in helium II has beenstudied experimentally and theoretically for many years. Differenttheories have been used to elucidate different aspects of turbulentvortex motion. All models, except for the microscopically accurate GP model thatcan not be used to study large-scale dynamics, are largelyphenomenological. Our research will allow a cross-fertilisation between these theories and will replace mostly phenomenological models withrigorously derived stochastic equations.