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Workshop

Free Boundary Problems, Theory and Applications March 07, 2011 - March 11, 2011
Registration Deadline: March 07, 2011 about 3 years ago
To apply for Funding you must register by: December 07, 2010 over 3 years ago
Parent Program: Free Boundary Problems, Theory and Applications
Organizers John King (University of Nottingham), Arshak Petrosyan* (Purdue University), Henrik Shahgholian (Royal Institute of Technology), and Georg Weiss (University of Dusseldorf)
Speaker(s)

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Description

Many problems in physics, industry, finance, biology, and other areas can be described by partial differential equations that exhibit apriori unknown sets, such as interfaces, moving boundaries, shocks, etc. The study of such sets, also known as free boundaries, often occupies a central position in such problems. The main objective of the workshop is to bring together experts in various theoretical an applied aspects of free boundary problems.

Confirmed speakers:
Luis Caffarelli (University of Texas at Austin)
Gui Qiang Chen (University of Oxford, UK)
Daniela De Silva (Columbia University)
Charlie Elliott (University of Warwick)
Avner Friedman (Ohio State University)
Stephen Gardiner (University College Dublin, Ireland)
Nicola Garofalo (Purdue University)
Juhi Jang (University of California, Riverside)
Ki-ahm Lee (Seoul National University, Korea)
Lionel Levine (Massachusetts Institute of Technology)
Norayr Matevosyan (University of Cambridge, UK)
Antoine Mellet (University of Maryland)
Regis Monneau (École Nationale des Ponts-et-Chaussées - ENPC, France)
Ricardo Nochetto (University of Maryland)
Kaj Nystrom (Umea University, Sweden)
John Ockendon (University of Oxford)
Yuval Peres (Microsoft Research)
Ovidiu Savin (Columbia University)
Luis Silvestre (University of Chicago)
Gieri Simonett (Vanderbilt University)

A file with all abstracts has been placed in the welcome in the schedule below.

Lecture slides have been made available by Henrik Shahgholian at
http://www.math.kth.se/~henriksh/Shahgholian/Activities/Entries/2011/3/22_MSRI-FBP-WORKSHOP.html

Bibliography (PDF)

Accommodation

A block of rooms has been reserved at the Hotel Durant. Please mention MSRI and the workshop name when making reservations via phone, fax or e-mail. If you are making your reservations on line, please go to Hotel Durant website, choose your dates of stay and enter the "1103MSRIFR" promo code in the box. The cut-off date for reservations is February 8, 2011. The rate is $139 per night plus tax.

A block of rooms has been reserved at the Rose Garden Inn. Reservations may be made by calling 1-800-992-9005 OR directly on their website. Click on Corporate at the bottom of the screen and when prompted enter code MATH (this code is not case sensitive). By using this code a new calendar will appear and will show MSRI rate on all room types available.
The cut-off date for reservations is February 21, 2011.

New, completely renovated Hotel Shattuck Plaza has rooms available for you!
MSRI’s preferred rate is $131. Guests can either call the hotel’s main line, 510-845-7300, and ask for the MSRI rate or go to http://www.hotelshattuckplaza.com, click on "Corporate Rates" in the reservation screen and type the code msri10.

 
 

 

Funding & Logistics Show All Collapse

Show Funding

To apply for funding, you must register by the funding application deadline displayed above.

Students, recent Ph.D.'s, women, and members of underrepresented minorities are particularly encouraged to apply. Funding awards are typically made 6 weeks before the workshop begins. Requests received after the funding deadline are considered only if additional funds become available.

Show Lodging

MSRI has preferred rates at the Rose Garden Inn, depending on room availability. Reservations may be made by calling 1-800-992-9005 OR directly on their website. Click on Corporate at the bottom of the screen and when prompted enter code MATH (this code is not case sensitive). By using this code a new calendar will appear and will show the MSRI rate on all room types available.

MSRI has preferred rates at the Hotel Durant. Reservations may be made by calling 1-800-238-7268. When making reservations, guests must request the MSRI preferred rate. If you are making your reservations on line, please go to this link and enter the promo/corporate code MSRI123. Our preferred rate is $129 per night for a Deluxe Queen/King, based on availability.

MSRI has preferred rates of $149 - $189 plus tax at the Hotel Shattuck Plaza, depending on room availability. Guests can either call the hotel's main line at 510-845-7300 and ask for the MSRI- Mathematical Science Research Inst. discount; or go to www.hotelshattuckplaza.com and click Book Now. Once on the reservation page, click “Promo/Corporate Code“ and input the code: msri.

MSRI has preferred rates of $110 - $140 at the Berkeley Lab Guest House, depending on room availability. Reservations may be made by calling 510-495-8000 or directly on their website. Select “I am an individual traveler affiliated with MSRI”.

Additional lodging options may be found on our short term housing page.

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Schedule
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Mar 07, 2011
Monday
09:00 AM - 09:15 AM
  Welcome
09:15 AM - 10:15 AM
  A Free Boundary Problem Modeling Wound Healing
Avner Friedman
10:15 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  On Unique Continuation for Nonlinear Elliptic Equations
Luis Silvestre
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Laplacian Growth and the Mystery of the Abelian Sandpile
Yuval Peres (University of California, Berkeley)
03:00 PM - 03:45 PM
  Tea
04:10 PM - 05:00 PM
  Nonlinear diffusion and free boundaries. From porous media to fractional diffusion
Juan Vazquez
Mar 08, 2011
Tuesday
09:00 AM - 10:00 AM
  Regularity properties of the non local parabolic obstacle problem
Luis Caffarelli (University of Texas)
10:00 AM - 10:30 AM
  Tea
10:30 AM - 11:30 AM
  On the Rayleigh-Taylor Instability for the Two-Phase Navier-Stokes Equations
Gieri Simonett
11:30 AM - 12:30 PM
  Vacuum in Gas and Fluid Dynamics
Juhi Jang
12:30 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  A Free Boundary Problem for Thin Films
Antoine Mellet
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Optimal regularity and the study of the free boundary in the parabolic Signorini problem
Nicola Garofalo
05:30 PM - 07:30 PM
  Party at Craig Evans'
Mar 09, 2011
Wednesday
09:00 AM - 10:00 AM
  Computational Surface Partial Differential Equations
Charles Elliott (University of Warwick)
10:00 AM - 10:30 AM
  Tea
10:30 AM - 11:30 AM
  Free Boundary Problems in Elastoplasticity
John Ockendon (University of Oxford)
11:30 AM - 12:30 PM
  Regularity and Free Boundary Regularity for the \(p\)-Laplace Operator in Reifenberg flat and Ahlfors Regular NTA-Domains
Kaj Nyström (University of Umeå)
Mar 10, 2011
Thursday
09:30 AM - 10:30 AM
  Electrowetting on Dielectric: Modeling, Analysis and Computation
Ricardo Nochetto
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  Boundary Regularity for a Class of Solutions to the Monge-Ampere Eqation
Ovidiu Savin
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Free Boundary Pointwise Estimates for the Obstacle Problem.
Regis Monneau
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Two-Phase Quadrature Domains
Stephen Gardiner
Mar 11, 2011
Friday
09:30 AM - 10:30 AM
  Free Boundary Problems in Conservation Laws
Gui-Qiang Chen
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  Logarithmic Fluctuations from Circularity
Lionel Levine
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Homogenization of the Oscillating Data on a Lower Dimensional Surface
Ki-Ahm Lee
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  A Boundary Obstacle Problem Near Fixed Boundary
Norayr Matevosyan