There are no announcements




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.


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


  • Live lecture hours: 10
  • Recorded lecture hours: 0
  • Total advised study hours: 40


  • Fri 11:05 - 11:55


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


Davide Proment
Phone 01603 591642


A Primer on Quantum FluidsCarlo F. Barenghi & Nick G. Parker
Bose-Einstein CondensationLev. P. Pitaevskii & Sandro Stringari
Quantized Vortex Dynamics and Superfluid TurbulenceBarenghi, C.F., Donnelly, R.J., Vinen, W.F. (Eds.)
Quantized Vortices in Helium IIDonnelly
Superconductivity, Superfluids and CondensatesAnnett


Clicking on the link for a book will take you to the relevant Google Book Search page. You may be able to preview the book there. On the right hand side you will see links to places where you can buy the book. There is also link marked 'Find this book in a library'. This sometimes works well, but not always. (You will need to enter your location, but it will be saved after you do that for the first time.)


No assessment information is available yet.

No assignments have been set for this course.


No files have yet been uploaded for this course.

Recorded Lectures

Please log in to view lecture recordings.