Crash Courses

CANPDE Crash courses

This series of mini-courses is organised by the Centre for Analysis and Nonlinear PDEs in collaboration with the Oxford Centre for Nonlinear PDE at Oxford University. Each crash course consists of 8-10 one-hour instructional lectures, on topics in Analysis related to Nonlinear PDE. They are mainly aimed at PhD students and young researchers, however registration is open to anyone interested in the area.

Sixth session

26-27 April, 2012

Laure Saint-Raymond (École Normale Supérieure)

Title: TBA

Abstract: TBA

Roger Temam (Indiana University)

Title: Boundary value problems for the equations of the climate and other wave equations.

Abstract: In relation with the problem of weather prediction in limited domains, we discuss boundary conditions associated with certain equations derived from the primitive equations of the atmosphere and the oceans, equations which are at the center of the general circulation models used in the studies of the weather and the climate. Various simplified forms of the inviscid primitive equations will be considered, linear or nonlinear. We will discuss suitable boundary conditions for these problems, and the issue of existence and uniqueness of solutions (well-posedness). As an introduction, we will start with a relatively simpler wave equation of plasma physics, the Zakharov - Kuznetsov equation.

Arrangements

Participation

If you wish to attend please register your interest by Friday 13 April 2012 by emailing M.Beck@hw.ac.uk, giving the following information:

Your name and institution
Whether you are a PhD student or a young researcher
Whether you require accommodation arrangements
Whether you would like to request support (and if so, whether support is for travel, or accommodation, or both)
Whether you have any other special requirement

Funds are available to support UK participants. Priority will be given to research students and mathematicians who would benefit from attending the lectures, but who would otherwise be prevented from attending by financial constraints.

The number of participants will be limited so we encourage those who are interested to register as early as possible and in any case before 13 April 2012.

Venue

The crash courses are held in Colin Maclaurin Building, Department of Mathematics, Heriot-Watt University. Location maps can be found here.

Travel

Information about travel to the UK and Edinburgh is available here. Follow this link for information about bus services in Edinburgh and this link for the Airlink Services to and from Edinburgh Airport. Please note that Lothian buses numbered 25, 34, and 45 all terminate at Riccarton (the main Heriot-Watt campus). Bus number 25 is the fastest from the city centre.

Accommodation

If you indicated that you wish CANPDE to arrange your accommodation and you have sent us details of your travel plans, a reservation will have been made for you to stay in the Edinburgh Conference Centre, Heriot-Watt University, Riccarton, Edinburgh, EH14 4AS. Please arrive at the Reception of Heriot-Watt University (directions here) to obtain the keys to your room. The lectures will finish by 18:00 on the Friday, so arrange your travel back home sometime after this time. No further action is required and full details will be emailed to you nearer the time of the mini-course.

If your arrival or departure dates alter in any way, please email Margaret Beck or Lyonell Boulton immediately.

Programme

A short registration session will begin at 13:15 in Colin Maclaurin Building room CM F.01. All lectures will take place in room CM S.01. At all moments room CM F.01 will be availailable for the use of participants. Campus maps can be found here.

Timetable

Thursday

9:00 registration

9:30 lecture 1

10:30 break

11:00 lecture 2

12:00 lunch

13:30 lecture 3

14:30 break

15:00 lecture 4

16:00 break

16:30 lecture 5

Friday

9:30 lecture 6

10:30 break

11:00 lecture 7

12:00 lunch

13:30 lecture 8

14:30 break

15:30 tutorial

Claim forms for participants

Please complete and return both forms alongside with all your receipts to Lyonell Boulton, School of Mathematical and Computer Sciences, Colin Maclaurin Building, Heriot-Watt University, Riccarton, Edinburgh, EH14 4AS. Please remember to sign BOTH forms. Do not hesitate to contact me if you have any further question.

Expenses claim form: Excel format
Bank Details form: Word format or pdf format

Past Crash Courses

Details of our past crash courses: February 2011, May 2010 -- Event pictures, February 2010, October 2009, March 2009.

Lecture Notes

Nicolas Burq (March 2009). The non-linear harmonic oscillator with random initial data
David Lannes (March 2009). High frequency non-linear optics: from the nonlinear Schrodinger approximation to ultrashort pulses equations
Yvan Martel (February 2010). Review on long time asymptotics and collision of solitons for the quartic gKdV equation
Julio Rossi (May 2010). Tug-of-war games: games that PDE people like to play

A final version of these notes has appeared in a special volume of the Proceedings of the Royal Society of Edinburgh: Volume 141 (2011)

Patrick Bernard (February 2011). The Lax-Oleinik semi-group and some applications
Albert Fathi (February 2011). Weak KAM from a PDE point of view: viscosity solutions of the Hamilton-Jacobi equation and Aubry set

A final version of these notes will be published in a further special volume of the Proceedings of the Royal Society of Edinburgh.

Further Information

Please feel free to contact Margaret Beck or Lyonell Boulton with any scientific or other question concerning the courses.