Frontiers of Mathematics
and Applications II - 2011

Summer Course UIMP 2011, Santander (Spain), August 15-19, 2011

You can download the slides/material of the courses below

Main Courses (4 hours each)

• José Antonio Carrillo (ICREA, Barcelona, ES)
  
  "Aggregation versus Diffusion in Mathematical Biology"
  
  Downloads: Abstract and Lectures: 1 2 3 4
  
  
• Maria J. Esteban (CEREMADE, Paris, FR)
  
  1) "Functional inequalities and the symmetry properties of the extremal functions"
  
  Downloads: Abstract and Lectures
  
  2) "Threshold for the stability of an electron in an external electromagnetic field"
  
  Downloads: Abstract and Lectures
  
  
• Felix Otto (MPI, Leipzig, DE)
  
  "Pattern formation, energy landscapes, scaling laws"
  
  Downloads: Abstract and Lectures
  
  
• Cédric Villani (IHP, Paris, FR)
  
  "Mathematical problems arising from plasma physics"
  
  Downloads: Lectures
  
  

Lectures (40 minutes each) - Abstracts in PDF

• Marco Di Francesco (Univ. of L'Aquila, IT)
  "Recent developments in nonlocal transport equations with nonlinear diffusion" Slides
  
  
• Alessio Figalli (UT, Austin TX, USA)
  "The parabolic fractional obstacle problem" Slides
  
  
• Nassif Ghoussoub (UBC, Vancouver, CA)
  "A fundamental functional inequality on the 2-dimensional sphere and its ramifications"
  
  
• Maria del Mar Gonzales (UPC, Barcelona, ES)
  "Nonlinear Integrate and Fire Neuron Models" Slides
  
  
• Yannick Sire (LATP, Marseille, FR)
  "Nonlinear waves and free boundary problems"