[Seminario] Seminario CAPDE Lunes 21 Noviembre 16hrs

Claudio Muñoz cmunoz en dim.uchile.cl
Mar Nov 15 17:56:53 CLST 2016


Estimados todos,

Este correo es para invitarlos cordialmente a una nueva sesión del seminario
 CAPDE de EDPs, a realizarse el *Lunes 21 de Noviembre, a las 4pm, en la
sala 5 de la Facultad de Matemáticas de la Universidad Católica*.

En esta ocasión contaremos con dos profesores invitados:

*4:00pm*
*Juan Dávila (DIM U. Chile)*

*Finite time blow-up for the harmonic map flow in 2 dimensions*

*Abstract: *We describe precisely the finite time blow up behavior of some
solutions of the harmonic map flow in 2 dimensions with values into
the sphere, in a nonradial situation. One important quantity is the
rate of blow up, which was established rigorously only in the
1-corrotational symmetric class by Raphael and Schweyer.
This is joint work with Manuel del Pino (Universidad de Chile) and
Juncheng Wei (University of British Columbia).

*5:00pm*
*Luis López Ríos (**Università degli Studi Roma Tre)*

*The mean field equation in high dimensions*

*Abstract:  *In this talk we present an n-dimensional version of the well
known 2D mean field equation. We exhibit a special set of solutions to the
model and prove a nondegeneracy property associated with the linearization
of the operator. Such property is used to study the behavior of blowing-up
families of solutions. This phenomenon is inspired in related models, where
the lack of compactness of the Sobolev embedding is closely related to the
concentration of solutions. This is a joint work with Pierpaolo Esposito.


*Próximo Seminario/Evento CAPDE: Lunes 5 Diciembre*

Esperando contar con su asistencia
Saludos cordiales

Equipo CAPDE

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