MAGIC092: Introduction to superfluids and turbulence

Course details


Spring 2021
Monday, January 25th to Friday, March 19th; Monday, April 26th to Friday, May 7th


Live lecture hours
Recorded lecture hours
Total advised study hours


11:05 - 11:55

Course forum

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The aim of the course is to give a mathematical introduction to superfluids and superfluid turbulence.

Some of the existing mathematical models used to describe superfluid liquid Helium and Bose-Einstein condensates of dilute gases will be devised.

Experimental and numerical experiments will also complement the course as examples.

More details on the course topics are given in the Syllabus. 


Calculus, partial differential equation, general concepts of mechanics and fluid mechanics.

A basic knowledge of quantum mechanics would be preferable. 


  • brief history of superfluidity, introduction to different types of superfluids 
  • Landau's two-fluid model 
  • the Biot-Savart model and the Euler equation 
  • the local induction approximation limit 
  • Hasimoto's transformations and some of the nonlinear Schroedinger equation solutions 
  • Bose-Einstein condensates and the Gross-Pitaevskii equation 
  • Bogoliubov excitations and quantised vortices 
  • vortex reconnections 
  • introduction to classical turbulence and Kolmogorov's -5/3 law 
  • superfluid turbulence phenomenology 


  • DP

    Dr Davide Proment

    University of East Anglia


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The assessment for this course will be via a single take-home paper at the end of the Spring semester with 2 weeks (10th - 23rd May 2021) to complete and submit online. There will be 3 questions and you will need the equivalent of 50% to pass.

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