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Usted está aquí: Inicio / Actividades / Seminarios / Seminario de Ecuaciones Diferenciales No Lineales (SEDNOL) / Actividades del Seminario de Ecuaciones Diferenciales No Lineales / Ground states for diffusion dominated free energies with logarithmic interaction

Ground states for diffusion dominated free energies with logarithmic interaction

Ponente: Bruno Volzone
Institución: Universidad de Nápoles
Cuándo 11/12/2014
de 11:00 a 12:00
Dónde Salón de seminarios Graciela Salicrup
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In this seminar we first give a brief introduction to the parabolic-elliptic Keller Segel model,
then we will focus to the two dimensional dominated diffusion case and we analyse the stationary
case showing the existence of a unique, up to translation, global minimizer of the associated free
energy. Furthermore, we prove that this global minimizer is a radially decreasing compactly supported
continuous density function which is smooth inside its support, and it is characterized as the unique
compactly supported stationary state of the evolution model. This unique profile is the clear candidate
to describe the long time asymptotics of the di ffusion dominated classical Keller-Segel model for
general initial data.