The 5th PDE Real Analysis Seminar
(COE Partner Seminar, Department of Mathematics, Hokkaido University )
Outline
- Organizers :
- S. Koike (Saitama University), H.Arai (University of Tokyo), Y. Giga (Hokkaido University)
- Period :
- December 15, 2004 (Wednesday)
- Place :
- Graduate School of Mathematical Sciences the University of Tokyo, Room #122
- Programme :
-
December 15, 2004 (Wednesday) 10:30-11:30
- Andrzej Swiech (Georgia Institute of Technology)
- Hamilton-Jacobi-Bellman equations for optimal control of stochastic Navier-Stokes equations.
- ABSTRACT:
- We will give an overview of new results in the theory of infinite dimensional Kolmogorov and
Hamilton-Jacobi-Bellman equations associated with the optimal control of stochastic Navier-Stokes equations.
In particular we will present a viscosity solution approach to such equations and we will discuss implications and possible
future developments of the theory.
December 15, 2004 (Wednesday) 11:45-12:45
- Francesca Da Lio (Dipartimento di Matematica P. e A.Universit di Padova　researcher)
- A GEOMETRICAL APPROACH TO FRONT PROPAGATION PROBLEMS IN BOUNDED DOMAINS WITH NEUMANN -TYPE BOUNDARY AND APPLICATIONS
- ABSTRACT:
- We talk about a new definition of weak solution for the global-in-time motion of a front in bounded domains with normal
velocity depending not only on its curvature but also on the measure of the set it encloses and with a contact angle boundary condition. We apply this definition to study the asymptotic behaviour of the solutions of some local and nonlocal reaction-diffusion equations.
