Workshop on - Asymptotic analysis in the calculus of variations and PDEs

• Start Date: 07/06/2009
• End Date: 07/10/2009
Speaker(s):

Stanley Alama
Andrea Braides

Jean Dolbeault

Pierpaolo Esposito

Irene Fonseca

Changfeng Gui

Bob Jerrard

Jan Kristensen

Andrea Malchiodi

Barbara Niethammer

Frank Pacard

Mark Peletier

Frédéric Robert

Eric Séré

Peter Sternberg

Yoshi Tonegawa

Juncheng Wei

Mini-course lecturers

Stefan Müller

Tristan Riviere

*Please note that your abstract will only be accepted if it is attached in plain text (.txt) format.

Location:

University of British Columbia

Topic:

PIMS/Accelerate Canada Summer School in PDE: Asymptotic analysis in the calculus of variations and PDEs

Short description: Concentration phenomena and quenching are closely related with loss of compactness in various important nonlinear PDEs and evolution equations. They have been appearing in many different areas. Sometimes they appear for physical reasons : for instance in the forms such as vortices in Ginzburg-Landau equations, spike-layers in biological diffusions, etc. Sometimes, they are precisely studied to show that they do not appear. This leads to compactness results, which themselves permit to handle existence results : this is the case for many problems coming from geometry. This workshop will focus on the up-to-date advances in these phenomena and the variational methods involved. It will emphasize on the following directions :

* understanding the pattern formations of singularities in some physical models such as vortices in Ginzburg-Landau equations, spike-layers in biological diffusions, ...
* blow-up analysis for some elliptic type equations arising for instance in geometrical and physical problems in order to get compactness results and thus existence and multiplicity results for these equations : mean field equation, Toda system, mean curvature equation, Schrodinger equation, ...
* construction of examples of solutions of elliptic equations by gluing some scale-invariant solutions of a similar model equation together. This is in some sense the (more recent) counter-part of the previous item.
* multi-scale analysis for studying material instabilities such as formation of defects in crystalline materials, development of fractures, ... This requires asymptotic analysis (via for instance the gamma- convergence theory) of some functionals with respect to different regimes of some small parameters. The aim is to make mathematicians from these close but different subjects interact and share some knowledge and techniques.
Description:

Participants

Peter Bella, Courant
Katarina Bellova, Courant
Tiancong Chen, Notre Dame
Andres Contreras, Indiana
Gung-Min Gie, Indiana
Scott Greenhalgh, Guelph
Makram Hamouda, Indiana
Ryan Hynd, Berkeley
Nicole Jinn
Young-Heon Kim, UBC
Paul Laurain, ENS-Lyon
Nam Le, Columbia
Stefan Le Coz, Sissa
Lu Li, Minnesota
Baoping Liu, Berkeley
Andre Ludwig, Freiburg
Marco Morandotti, Sissa
Indrani Rao, U. N. Carolina
Michiel Renger, Eindhoven
Nicolas Reichert, Princeton
Nioclas Rougerie, Paris 6
Armin Schikorra, Aachen
Stefano Spirito
Ihsan Topaloglu, Indiana
Yves van Gennip
Jerome Vetois, Cergy-Pontoise
Wei Yao
Yuen Au Yeung
Xiangwen Zhang, McGill
Chunyi Zhao
Ian Zwiers, Toronto

Minicours-Vancouver0709.pdf
09var_abstracts.pdf
Schedule:

Registration will take place from 8am to 9am Monday July 6 at PIMS - Room 110, 1933 West Mall.

Lecture venue: SWING 121 [website]

Organizers:

R. Choksi (SFU)

O. Druet (CNRS, ENS Lyon and PIMS).

Other Information:

Accommodations

PIMS has reserved a limited number of rooms, at special rates, on campus that are available to workshop participants on a first-come-first-served basis during the PDE Thematic Summer.

When making reservations, please state that you are a participant in the PDE Thematic Summer and give the name of the workshop(s) you are attending. PIMS is not responsible for rate changes or for the quality of the accommodations. Please confirm any cancellation or early checkout penalties when making your reservation. Please note that all prices are in Canadian dollars and do not include taxes (15% hotel tax will be applied).

In order to confirm your reservation at the Marine Drive Residence (2205 Lower Mall, UBC, Vancouver, BC, V6T 1X1. Tel 778 588 1500, fax 604 827 3244), please click on one of the links below and follow the instructions:

FOR STUDENTS:
https://reserve.ubcconferences.com/GROUP/availability.asp?hotelCode=UBC&sdl=Check+In&startDate=07%2F05%2F2009&edl=Check+Out&endDate=08%2F22%2F2009&adults=1&children=&rooms=1&requesttype=invBlockCode&code=G90705B Rates are CAD$49 per night for a single room in a shared apartment. Marine Drive Residence is located on campus and within walking distance to the workshops. The deadline for reservations is April 30 2009. FOR SPEAKERS: https://reserve.ubcconferences.com/GROUP/availability.asp?hotelCode=UBC&sdl=Check+In&startDate=07%2F04%2F2009&edl=Check+Out&endDate=07%2F11%2F2009&adults=1&children=&rooms=1&requesttype=invBlockCode&code=G90704B Rates are CAD$99 per night for a private studio suite. Marine Drive Residence is located on campus and within walking distance to the workshops. The deadline for reservations is April 30 2009.

Alternatively, there are many other hotels available in Vancouver that may be able to accommodate you during your participation in the PDE Thematic Summer. Here is a selection:

Park Inn & Suites Vancouver Broadway, 898 West Broadway, Vancouver, BC, V5Z 1J8; 604-872-8661, fax: 604-872-2270, or toll-free 800-663-5403; rates start at CAD$89 single/double. Complimentary high-speed wireless Internet, bottle of water and newspaper as well as local and 800# calls. All rooms have a balcony. Please visit http://www.parkinn.com/vancouverca Holiday Inn Vancouver Centre, 711 West Broadway, Vancouver, BC, V5Z 3Y2; 604-707-1939; Rates start at CAD$139 per night, single/double. For further information please visit http://www.ichotelsgroup.com/h/d/hi/1/en/hotel/yvrbw

Make Yourself at Home http://www.makeyourselfathome.com/
Prices vary depend on locations. Generally speaking, the closer to UBC the more expensive.

Shaughnessy Village http://www.shaughnessyvillage.com
They offer good deals - e.g. $1,200 for 20 nights including free breakfasts, but the size of bedroom is about 300-400 square feet. On-campus TRIUMF House (604) 222-1062 Contact: Connie Santiago, TRIUMF House Reservation Office http://www.triumfhouse.ca/ Email: housing@triumf.ca Green College (Guest rooms / Student residence) Contact: Ms. Simone Goguen (604) 822-8660 Email: greencol@interchange.ubc.ca http://www.greencollege.ubc.ca/Visitor/p-visitor.htm St. John's College (604) 822-6522 Email: allam@interchange.ubc.ca contact: Alice Lam Rate:$95/night
http://www.stjohns.ubc.ca/

Reimbursement of Travel Expenses
You may be able to claim full or partial reimbursement of your travel expenses incurred in attending the PDE Thematic Summer Workshops. The conference organizers will be able to advise you as to what level of funding is available to you. In order to claim reimbursement for your travel expenses, please print off and complete this form TRAVEL REIMBURSEMENT FORM. Attach your original receipts. If you are claiming reimbursement for a flight, please attach your flight itinerary and your original boarding passes. Mail the form and supporting documentation to PIMS-Central Office for processing (the address is on the form).

Invitation letters

Participants who require an official invitation letter for visa purposes can contact Ms. Do-Rim Joo reception@pims.math.ca with workshop title, travel dates, and mailing address.