Charlas 2010
Martes 8 de Junio a las 15 hs, Aula 4, Pab. I. Hernan Leovey (Universidad Humboldt de Berlin).
Miércoles 31 de Marzo a las 15 hs, Aula de Seminarios. Timothy James Healey (Cornell University, USA).
- Título:Introduccion a metodos quasi-Monte Carlo para integrales de altas dimensiones. Abstract. Se presentaran Principios de construccion de "Low discrepancy sequences" y de "Lattice Rules", desigualdades clasicas y motivacion, nocion de tractabilidad y (si el tiempo lo permite) construcciones actuales con aplicaciones.
Miércoles 31 de Marzo a las 15 hs, Aula de Seminarios. Timothy James Healey (Cornell University, USA).
- Título: A Fredholm Degree for Quasi-linear Elliptic PDE`s with Natural Boundary Conditions.
- Abstract. Equilibrium problems of nonlinear continuum
mechanics typically lead to a system of quasi-linear elliptic pde`s.
For Dirichlet boundary conditions, the classical Leray-Schauder degree
can be used as a tool for global continuation/bifurcation. However,
many realistic problems involve natural boundary conditions, derived
from stationarity of the energy, which translate into fully nonlinear
Neumann type conditions. For example free-surface conditions are of
this type. Even for scalar-valued second-order elliptic pde`s, the
presence of such boundary conditions apparently rules out the
applicability of the Leray-Schauder degree, as noted in the classical
book [1]. We outline the construction of an oriented Fredholm degree
having all of the capabilities of the Leray-Schauder degree, and we
mention various applications to continuum mechanics.
[1] Ladyzhenskaja and Uralceva, "Linear and Quasilinear Elliptic Equations", Academic Press 1968.