Nonlocal PDEs, Variational Problems and their Applications - IPAM

Nonlocal PDEs, Variational Problems and their Applications

February 27 - March 2, 2012

Schedule

All times in this Schedule are Pacific Time (PT)

Monday, February 27, 2012

Morning Session

08:00-09:00
Check-In/Light Breakfast (Hosted by IPAM)
09:00-10:00
Luis Caffarelli (University of Texas at Austin)
Title not available
10:10-10:25
Break
10:25-11:15
Cyril Imbert (Centre National de la Recherche Scientifique (CNRS))
Lipschitz Regularity of Solutions for Mixed Integro-Differential Equations
11:25-11:40
Break
11:40-12:30
Ovidiu Savin (Columbia University)
Title not available

Afternoon Session

12:40-14:30
Lunch (on your own)
14:30-15:20
Panagiotis Souganidis (University of Chicago)
Singular Hamilton-Jacobi Equations for the “Tail Problem”
15:30-16:00
Break
16:00-16:50
Changfeng Gui (University of Connecticut)
Traveling Wave Solutions to Allen-Cahn Equation with Fractional Laplacians
17:00-18:30
Reception and Poster Session (Hosted by IPAM)

Tuesday, February 28, 2012

Morning Session

08:00-09:00
Continental Breakfast
09:00-09:50
Stanley Osher (University of California, Los Angeles (UCLA))
Nonlocal Operators with Applications in Imaging
10:00-10:15
Break
10:15-11:05
Ross Whitaker (University of Utah)
Variational Formulations of Neighborhood Statistics
11:15-11:30
Break
11:30-12:20
Jose Carrillo (Autonomous University of Barcelona)
Keller-Segel, Fast-Diffusion and Functional Inequalities

Afternoon Session

12:30-14:30
Lunch (on your own)
14:30-15:20
Chad Higdon-Topaz (Williams College)
Nonlocal Models of Biological Swarming: Asymptotic Dynamics and Exotic Equilibria
15:30-16:00
Break
16:00-16:50
Andrea Bertozzi (University of California, Los Angeles (UCLA))
Nonlocal Aggregation Equations and Fluid Dynamics

Wednesday, February 29, 2012

Morning Session

08:00-09:00
Continental Breakfast
09:00-09:50
Joel Lebowitz (Rutgers University)
Microscopic Models and Macroscopic Equations
10:00-10:15
Break
10:15-11:05
Cyrill Muratov (New Jersey Institute of Technology)
Gamma-Convergence for Pattern Forming Systems with Competing Interactions
11:15-11:30
Break
11:30-12:20
Regis Monneau (École Nationale des Ponts-et-Chaussées)
Dislocation Dynamics: From Microscopic Models to Macroscopic Crystal Plasticity

Afternoon Session

12:30-14:00
Lunch (on your own)
14:00-14:50
Henri Berestycki (École des Hautes Études en Sciences Sociales)
Title not available
15:00-15:15
Break
15:15-16:05
Maria del Mar Gonzalez (Universitat Politécnica de Catalunya)
Classical Solutions for a Nonlinear Fokker-Planck Equation Arising in Computational Neuroscience
16:15-16:30
Break
16:30-17:20
Antoine Mellet (University of Maryland)
On a Higher Order Non-Local Equation Arising in the Modeling of Hydraulic Fractures

Thursday, March 1, 2012

Morning Session

08:00-09:00
Continental Breakfast
09:00-09:50
Pierre Cardaliaguet (Université de Paris IX (Paris-Dauphine))
Holder Regularity for Solution of Parabolic Equations with Super-Quadratic Growth in the Gradient
10:00-10:15
Break
10:15-11:05
Moritz Kassmann (Universität Bielefeld)
Regularity Theory for Parabolic Nonlocal Operators
11:15-11:30
Break
11:30-12:20
Jinqiao Duan (Illinois Institute of Technology)
Nonlocal PDEs & Non-Gaussian Stochastic Dynamics

Afternoon Session

12:30-14:30
Lunch (on your own)
14:30-15:20
Arthur Szlam (Facebook)
Non-local Means and the Heat Equation on Feature Graphs
15:30-16:00
Break
16:00-16:50
Patrick Guidotti (University of California, Irvine (UCI))
Some Forward-Backward and Nonlocal Diffusions of Image Processing

Friday, March 2, 2012

Morning Session

08:00-09:00
Continental Breakfast
09:00-09:50
Thomas Laurent (University of California, Riverside (UC Riverside))
Aggregation via Newtonian Potential and Aggregation Patches
10:00-10:15
Break
10:15-11:05
Razvan Fetecau (Simon Fraser University)
Swarm Dynamics and Equilibria for a Nonlocal Aggregation Model
11:15-11:30
Break
11:30-12:20
Russell Schwab (Carnegie-Mellon University)
On Aleksandrov-Bakelman-Pucci Type Estimates for Integro Differential Equations

Afternoon Session

12:30-14:30
Lunch (on your own)
14:30-15:20
Nestor Guillen (University of California, Los Angeles (UCLA))
Non-local Notions of Convexity
15:30-16:00
Break
16:00-16:50
Discussion and Wrap-Up
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