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

  • Start Date: 07/06/2009
  • End Date: 07/10/2009

Stanley Alama
Andrea Braides

Jean Dolbeault

Pierpaolo Esposito

Irene Fonseca

Adriana Garroni

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


If you are a speaker, please email your abstract to:
*Please note that your abstract will only be accepted if it is attached in plain text (.txt) format.


University of British Columbia


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

More info:


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.




Peter Bella, Courant    
Katarina Bellova, Courant   
Mykhailo Bilogliadov, Indiana    
Tiancong Chen, Notre Dame   
Andres Contreras, Indiana    
Marina Danilina, Russia Finance Acad.    
Gung-Min Gie, Indiana    
Scott Greenhalgh, Guelph    
Makram Hamouda, Indiana    
Ryan Hynd, Berkeley    
Nicole Jinn        
Rym Jrad, Victoria    
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    
Emanuele Spadaro, Zurich    
Stefano Spirito        
Ihsan Topaloglu, Indiana    
Yves van Gennip        
Jerome Vetois, Cergy-Pontoise    
Hem Wadhar, UCLA    
Wei Yao        
Yuen Au Yeung        
Xiangwen Zhang, McGill    
Chunyi Zhao
Ian Zwiers, Toronto    

Abstracts / Downloads / Reports: 


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


Lecture venue: SWING 121 [website]

Schedule Download: [Download]


R. Choksi (SFU)

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

Other Information: 



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: 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: 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


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


Make Yourself at Home
Prices vary depend on locations. Generally speaking, the closer to UBC the more expensive.


Shaughnessy Village
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.



Carey Centre


(604) 222-1062
Contact: Connie Santiago, TRIUMF House Reservation Office


Green College (Guest rooms / Student residence)
Contact: Ms. Simone Goguen
(604) 822-8660


St. John's College
(604) 822-6522
contact: Alice Lam
Rate: $95/night


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 with workshop title, travel dates, and mailing address.


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