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Schedule, Notes/Handouts & Videos

Free Boundary Problems, Theory and Applications March 07, 2011 - March 11, 2011

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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 (Microsoft Research)
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, Austin)
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 (University of Southern California)
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 Nystrom (Uppsala University)
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 (University of Oxford)
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