CTW: Free Boundary Problems in Biology
(November 14-18, 2011)
Organizers: Avner Friedman, Miguel A. Herrero, Luis A. Caffarelli
Free boundary problems (FBPs) are concerned with the solution of a system of PDEs in a domain whose boundary is unknown in advance. As a part of the solution one needs to determine the (free) boundary of the domain. Classical FBPs include melting or solidification of materials, contact problem in elasticity, and fluid flows. The study of these problems led to the development of general theories, including the theory of variational inequalities and the regularity theory of the free boundary for variety of problems.
More recently new FBPs have emerged in mathematical biology, such as models arising from tumor growth, wound healing, and movement of cellular organisms.
The proposed workshop is, in a sense, a follow-up to the program on FBPs held at MSRI during the first half of 2011. The workshop will bring together researchers, including some who participated in that program, together with mathematical biologists who are working on FBPs arising in biology.
The aim of the workshop is to introduce a broad FBPs community to new free boundary problems that arise from significant biological processes, with the hope that the study of such problems will stimulate the development of new mathematical theories, as well as advance theoretical biology.
Accepted Speakers
- Henri Berestycki (EHESS, Paris)
- Xinfu Chen (Mathematics, University of Pittsburgh)
- Zhan Chen (Mathematics, University of Minnesota)
- Rodolfo Cuerno (Departamento de Matematicas, Universidad Carlos III de Madrid)
- Antonio Fasano (Dipartimento di Matematica, U. Dini)
- Marco Fontelos (Instituto de Ciencias Matematicas)
- Miguel Herrero (Departamento de Matematica Aplicada, Facultad de Matematicas, Universidad Complutense Madrid)
- Bei Hu (Mathematics, University of Notre Dame)
- James Keener (Mathematics, University of Utah)
- John King (Mathematical Sciences, University of Nottingham)
- Masayasu Mimura (Advanced Mathematical Sciences, Meiji University)
- Alex Mogilner (Mathematics, University of California, Davis)
- Ricardo Nochetto (Mathematics, University of Maryland, College Park)
- Arshak Petrosyan (Department of Mathematics, Purdue University)
- Tatiana Toro (Mathematics, University of Washington)
- Chuan Xue (MBI, Ohio State University)
