Modern Nonlinear PDE Methods in Fluid Dynamics

               LMS-EPSRC Short Course

                                     University of Reading
                                          8-12 July 2013


                                  Organisers: Beatrice Pelloni & Eugen Varvaruca


Course Description

This summer school aims to give PhD students and other young researchers the opportunity to attend high quality lectures, delivered by leading international experts, on the analysis of PDE in fluid dynamics. Each of the four main lecture courses will illustrate certain aspects related to the mathematical theory of the incompressible Euler equations. Luigi Ambrosio will present the state-of-the-art on a theory according to which minimizing geodesics on the space of measure-preserving maps on a domain may be regarded as weak solutions of the Euler equations. Camillo De Lellis will describe the ideas around an important recent construction of continuous solutions which dissipate energy for the Euler equations. Adrian Constantin will exhibit the global bifurcation theory approach to existence of large-amplitude free-surface steady water waves with vorticity. Georg Weiss will discuss recent methods and applications in the analysis of regularity and behaviour at singularities in free boundaries.

The titles of the four main lecture courses are:

Variational models for incompressible Euler equations (Luigi Ambrosio, Scuola Normale Superiore, Pisa)

Dissipative solutions of the Euler equations (Camillo De Lellis, University of Zürich)

Bifurcation theory in the context of steady water waves (Adrian Constantin, King's College, London)

Analysis of singularities in free-boundary problems (Georg Weiss, Heinrich Heine University, Düsseldorf)

In addition, a guest lecture will be given by Mike Cullen (Met Office).


Accommodation will be provided in one of our new Halls of Residence (single en-suite rooms) within the Whiteknights Campus.


PhD students, postdocs, and any other interested researchers are invited to apply. To apply please complete the online Registration Form.

The closing date for applications is Monday 10 June 2013. Numbers will be limited and those interested are advised to make an early application.

*Please note places may be offered in advance of the deadline, so you are advised to apply early*

*In the event of over-subscription preference will be given to UK-based research students*


  • All participants will be charged a registration fee of £100.
  • Subsistence on campus will be provided free of charge for all research students registered at a UK university, as well as for all UK-based postdocs.
  • UK based participants other than PhD students and postdocs will be charged full subsistence costs in the amount of £280.
  • For a limited number of overseas young researchers we shall be able to cover the full local subsistence costs of £280, and we may also be able to offer a contribution towards travel expenses.

Fees are not payable until a place on the course is offered but will be due by Friday 28 June.

We gratefully acknowledge the financial support received from the Clay Mathematics Institute and the Oxford Centre for Nonlinear PDE. 

For further information please contact the local organiser, Eugen Varvaruca

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