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Charlas 2010

Martes 8 de Junio a las 15 hs, Aula 4, Pab. I. Hernan Leovey (Universidad Humboldt de Berlin).
  • 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.


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Last modified 2011-09-01 07:55 AM
 
 

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