Anuncio: Mini Workshop in PDE´s
Organizadores:
Marta-García Huidobro (Facultad de Matemáticas PUC)
Raúl Manásevich (CMM Universidad de Chile)
Jueves 7 de Enero de 2010 en la sala N-7
Campus San Joaquin, Pontificia Universidad Católica de Chile
desde las 15 hrs.
Auspiciado por Proyecto Ecos-Conicyt 2009
Nonlinear Elliptic and Parabolic Partial Differential Equations and Systems.
Conferencistas:
15:00hrs-15:40hrs:
A new dynamical approach of Emden-Fowler equations and systems
Marie Bidaut-Véron
UNIVERSITE FRANCOIS RABELAIS, TOURS
FRANCIA
15:50hrs-16:30hrs:
Single-point gradient blow-up on the boundary for diffusive Hamilton-Jacobi equations
in planar domains
Philippe Souplet
LAGA, Institut Galilée, Université Paris 13
16:40hrs-17:00hrs CAFE
17:00hrs-17:40hrs:
Exploring a PDE model for Criminal Behavior via Connections to the Keller-Segel Model for Chemotaxis
Nancy Rodríguez
U. California Los Angeles (UCLA)
17:50hrs-18:20hrs
Nonlinear boundary trace theory: an overview from smooth to non-smooth domains
Laurent Véron
UNIVERSITE FRANCOIS RABELAIS, TOURS
FRANCIA
Seminario de EDPs de Santiago
Miercoles 7 de Octubre
14.15 hrs.
SPEAKER: Julio Rossi, U. de Buenos Aires
TITULO: Tug-of-War games and PDEs
ABSTRACT: In this talk we will discuss some recent results
that relate value functions of Tug-of-War games (as
introduced by Peres-Schram-Sheffield-Wilson).
In particular we show how this games could be used to
obtain solutions to the p-laplacian and,
inspired by this approach, we provide an asymptotic
mean formula for p-harmonic functions.
15.15 hrs.
SPEAKER: Mauricio Sepulveda. U. de Concepcion
TITULO: Uniform stabilization for the critical generalized Korteweg-de
Vries equation.
RESUMEN: We analyse the convergence of a fully-implicit numerical
scheme for the critical generalized KdV equation (KdV-4 or GKdV with
$p=4$) in a bounded domain with a localized damping term. The damping is
supported in a subset of the domain, so that the solutions of the
continuous model issuing from small data are globally defined and
exponentially decreasing in the energy space. Combining discrete
multipliers and compactness arguments we show that the smallness of the
initial condition leads to the uniform (with respect to the mesh size)
exponential decay of the energy associated to the scheme.
En la Sala de Seminario, DIM, U. de Chile
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