[CvGmt News] Seminario Carrillo Roma 2

[Daniele Castorina]

Cari colleghi,

vi segnalo il prossimo seminario di Equazioni Differenziali a Tor Vergata:

*Martedi' 29 Gennaio 2012, h 14:30 Aula D' Antoni**
**
**Josè Antonio Carrillo (Imperial College, Londra)**
**
**Keller-Segel, fast-diffusion, and functional inequalities**
**
**We will show how the critical mass classical Keller-Segel system and 
the critical displacement convex fast-diffusion equation in two 
dimensions are related.**
**On one hand, the critical fast diffusion entropy functional helps to 
show global existence around equilibrium states of the critical mass 
Keller-Segel system.**
**On the other hand, the critical fast diffusion flow allows to show 
functional inequalities such as the Logarithmic HLS inequality in simple 
terms who is essential in the behavior of the subcritical mass 
Keller-Segel system. HLS inequalities can also be recovered in several 
dimensions using this procedure. It is crucial the relation to the GNS 
inequalities obtained by Del Pino and Dolbeault.**This talk corresponds 
to two works in collaboration with E. Carlen and A. Blanchet, and with 
E. Carlen and M. Loss.*

-- 
Daniele Castorina
Dipartimento di Matematica - Studio 1221
Università di Roma "Tor Vergata"
Via della Ricerca Scientifica 00133 Roma
email: castorin at mat.uniroma2.it
tel: +390672594653

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