[Seminario] Seminario EDP, Lunes 1 de octubre, 17 hrs, USaCh

Hanne Van Den Bosch hvdbosch en dim.uchile.cl
Lun Sep 24 17:43:01 -03 2018


Estimados,

Después de este feriado largo tengo el agrado de invitarles a una nueva
sesión del seminario EDP, esta vez en la Universidad de Santiago. Es el
próximo lunes, 1 de octubre, a las 17 horas, en el Auditorio del
Departamento de Matemática y Ciencia de la Computación. Está ubicado en el
piso -1 del departamento (Las Sophoras n°175, Estación Central).

*Claudio Muñoz *(CNRS and DIM, U. de Chile )
*Breathers and the dynamics of solutions to the KdV type equations*

Our first aim is to identify a large class of non-linear functions f(⋅) for
which the IVP for the generalized Korteweg-de Vries equation does not have
breathers or "small" breathers solutions. Also we prove that all small,
uniformly in time L^1 ∩ H^1 bounded solutions to KdV and related
perturbations must converge to zero, as time goes to infinity, locally in
an increasing-in-time region of space of order t^1/2 around any compact set
in space. This set is included in the linearly dominated dispersive region
x≪t. Moreover, we prove this result independently of the well-known
supercritical character of KdV scattering. In particular, no standing
breather-like nor solitary wave structures exists in this particular regime.
This is joint work with Gustavo Ponce.

Saludos cordiales,

Hanne Van Den Bosch
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