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Cari colleghi,<br>
<br>
vi segnalo il prossimo seminario di Equazioni Differenziali a Tor
Vergata:<br>
<br>
<b>Martedi' 29 Gennaio 2012, h 14:30 Aula D' Antoni</b><b><br>
</b><b><br>
</b><b>Josč Antonio Carrillo (Imperial College, Londra)</b><b><br>
</b><b><br>
</b><b>Keller-Segel, fast-diffusion, and functional inequalities</b><b><br>
</b><b><br>
</b><b>We will show how the critical mass classical Keller-Segel
system and the critical displacement convex fast-diffusion
equation in two dimensions are related.</b><b><br>
</b><b>On one hand, the critical fast diffusion entropy functional
helps to show global existence around equilibrium states of the
critical mass Keller-Segel system.</b><b><br>
</b><b>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.</b><b> This talk corresponds to two works in
collaboration with E. Carlen and A. Blanchet, and with E. Carlen
and M. Loss.</b><br>
<pre class="moz-signature" cols="72">--
Daniele Castorina
Dipartimento di Matematica - Studio 1221
Universitą di Roma "Tor Vergata"
Via della Ricerca Scientifica 00133 Roma
email: <a class="moz-txt-link-abbreviated" href="mailto:castorin@mat.uniroma2.it">castorin@mat.uniroma2.it</a>
tel: +390672594653</pre>
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