Modern Nonlinear PDE Methods in Fluid Dynamics

               LMS-EPSRC Short Course

                                     University of Reading
                                          8-12 July 2013

                                     

                                  Organisers: Beatrice Pelloni & Eugen Varvaruca

Course Outline

The course aims to give the opportunity to a new generation of UK PhD students and young researchers to attend high quality lectures on the analysis of PDE in fluid dynamics, delivered by leading international experts. The four courses are broadly divided in two strands. The first, containing the courses given by Luigi Ambrosio and Yann Brenier, deals with applications in fluid dynamics of optimal transport methods, more specifically the variational approach to the incompressible Euler equations, and the monotone rearrangement and convection theory for the Navier-Stokes and semi-geostrophic equations. The second, containing the courses of Adrian Constantin and Georg Weiss, deals with methods specific to free-boundary problems in fluid dynamics, addressing respectively the bifurcation theory approach to existence of large-amplitude steady water waves with vorticity, and the use of blow-up techniques in the study of regularity and behaviour at singularities in free boundaries.

Course Details

The four main lecture course topics are:

• Variational models for incompressible Euler equations (Luigi Ambrosio, Scuola Normale Superiore, Pisa)
• Monotone rearrangement and convection theory (Yann Brenier, University of Nice)
• 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)

Guest lectures will be given by Mike Cullen (Met Office) and Camillo De Lellis (University of Zürich).

Accommodation

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

 

Applications

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 27 May 2013. Numbers will be limited and those interested are advised to make an early application.

*All applicants will be contacted within two weeks after the deadline; information about individual applications will not be available before then*

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

Fees

• 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.