Evolution of Interfaces

Trimester Program

January 3 - April 26, 2019

Organizers: Emanuele Spadaro, László Székelyhidi Jr., Georg Weiss

Interfaces arising as phase boundaries are ubiquitous in nature and are a rich source of mathematical problems. A major challenge is presented by the formation of singularities and in this respect phase-field approximations have played a key role in identifying selection principles and obtaining a well-defined evolution past singularities in the sharp interface limit. The purpose of the trimester program is to explore such problems, building on recent progress in higher co-dimensional minimal surface theory, the analysis of singularities in free boundary problems and on the discovery of h-principle phenomena induced by fluid instabilities.

The program will include a Winter School addressed to PhD students and postdocs and 2 major workshops:

  • Winter School and Opening Workshop on the Evolution of Interfaces (January 7-11)
  • Workshop on Geometric Measure Theory and Free Boundary Problems (February 11-15)
  • Workshop on Interfaces and Instabilities in Fluid Dynamics
    (March 18-22)

Those planning to participate include:
John Andersson, Giovanni Alberti, Claude Bardos, Yann Brenier, Sagun Chanillo, Peter Constantin, Diego Cordoba, Daniel Faraco, Alessio Figalli, Camillo De Lellis, Stephan Luckhaus, Siddhartha Mishra , Felix Otto, Henrik Shahgholian, Steve Skholler, Yoshihiro Tonegawa, Tatiana Toro, Eugen Varvaruca

Call for participation: The Hausdorff Research Institute offers visiting positions for the whole period of the trimester program (for senior scientists, postdocs, and PhD students). In addition numerous fellowships for shorter periods are available. Please send applications (including a Letter of Intent, a CV, and - for postdocs and PhD students - a letter of recommendation) using the online application form. The deadline for applications is April 15, 2018.