[CvGmt News] Oberwolfach seminar

[Matteo Novaga]

Oberwolfach-Seminar 2001
http://www.mfo.de/DMV_Seminars/DMV_Seminars_2001.html#T0146B

Front Propagation, Homogenization for First- and Second-Order PDE's, and 
Applications
November 11 - 17, 2001 

Deadline for Application: October 1, 2001 
Organizers: 
       Guy Barles (Tour) 
       Panagiotis Souganidis (Austin) 
Subjects: 
 Models in phase transitions and combustion give rise to interfaces moving with 
prescribed normal velocities. The theory of viscosity solutions
provides a very good framework for the rigorous analysis of such models. 
Asymptotic problems in periodic and random environments are also
related to homogenization questions for first- and second order pde as well as 
to stochastic nonlinear pde. Topics to be covered in the course are:
 (i) A theory for generalized front propagation and its applications to 
asymptotic problems, reaction diffusion equations and particle systems,
urbulent combustion 
 (ii) Homogenization theory for Hamilton-Jacobi equations and fully nonlinear 
second-order pde and its connections to phase
transitions and Hamiltonian dynamics 
(iii) Fully nonlinear stochastic pde. 

Prerequisites: A good background in pde; some probability knowledge 
will also be useful, but is not required.