Seminar

Language English
From 2011/10/14 15:30
To 2011/10/14 17:30
PlaceRoom 251, Building No.3, Faculty of Science, Kyoto University
Seminar NameNLPDE Seminar
Title Multiple peak aggregations for the Keller-Segel system　
Field Analysis
SpeakersYukihiro Seki
AffiliationICMAT
AbstractIn this talk I will talk about aggregations of Dirac mass in
theKeller-Segel system.
It is common that blow-up takes place under the assumption that the mass
is initially greater than and the distribution of initial mass is
localized around a point of the domain under consideration. Every blow-up
produces a Dirac mass at the blow-up time. The quantity of the Dirac mass
is, in general, unknown.
We show that it is possible to construct, by matched asymptotic expansion
techniques, a formal solution having two peaks that aggregate at the
blow-up time and thus producing as the quantity of Dirac mass.

This talk is based on a joint work with Prof. J.J.L. Velzquez and
Prof. Y. Sugiyama.
Linkhttp://www.math.kyoto-u.ac.jp/~yosihiro/nlpde/nlpde.html