LMS-EPSRC Short Instructional Course - Modern Nonlinear PDE Methods in Fluid Dynamics

Jul 8 2013 - 00:00
Jul 12 2013 - 23:59

University of Reading, UK

Short description of the event: 

The course aims to give the opportunity to a new generation of UK PhD students 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.

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).

Course Website: http://www.reading.ac.uk/maths-and-stats/news/LMS-EPSRC-Shortcourse-Read...

Application Form: http://www.surveymonkey.com/s/F2XGXLF

Application Deadline 27 May 2013