Display Abstract

Title Nonlinear evolution as convex minimization

Name Ulisse Stefanelli
Country Austria
Email ulisse.stefanelli@univie.ac.at
Submit Time 2014-02-28 03:19:01
Special Session 2: Nonlinear evolution PDEs and interfaces in applied sciences
I intend to overview some global-in-time variational techniques for evolution equations. In particular, we shall be interested in the possible reformulation of evolution systems, either of dissipative or dispersive type, in terms of minimization problems. The idea is that of moving the successful machinery of the Calculus of Variations (direct method, gamma-convergence, relaxation..) to evolutionary situations. I will in particular present results for gradient and doubly nonlinear flows as well as for nonlinear waves. This is joint work with Goro Akagi.