# Mathematical Sciences Research Institute

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# Schedule

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

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 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 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