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<div>DEPARTMENT COLLOQUIUM</div>
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<br>
Tuesday 1 October 2019 - h. 14:30<br>
<div>Department of Mathematics, University of Rome Tor Vergata<br>
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<div>Aula "Roberta Dal Passo" </div>
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Speaker: Prof.
<style type="text/css">p { margin-bottom: 0.25cm; direction: ltr; color: rgb(0, 0, 0); line-height: 120%; }p.western { font-family: "Calibri",sans-serif; font-size: 11pt; }p.cjk { font-family: "Calibri",sans-serif; font-size: 11pt; }p.ctl { font-family: "Times New Roman",serif; font-size: 11pt; }a:link { color: rgb(5, 99, 193); }</style>Manuel
Del Pino (University of Bath)<br>
Title: "Singularity formation and bubbling in nonlinear
diffusions" <br>
<br>
Abstract: A fundamental question in nonlinear evolution
equations is the analysis<br>
of solutions which develop singularities (blow-up) in finite
time or as<br>
time goes to infinity. We review recent results on the
construction of<br>
solutions to nonlinear parabolic PDE which exhibit this kind of<br>
behavior in the form of "bubbling". This means solutions that at<br>
main order look like asymptotically singular time-dependent
scalings of<br>
a fixed finite energy entire steady state. We mainly focus on
the<br>
classical two-dimensional harmonic map flow into the sphere, and
the<br>
Keller-Segel system of chemotaxis.<br>
<br>
<div>N.B.: This talk is part of the activity of the MIUR
Excellence Department Project MATH@TOV CUP E83C18000100006 <i><span
lang="IT"><br>
<br>
- At the end of the <span
class="gmail-il">Colloquium</span>, there will be a
refreshment -</span></i> </div>
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<p>
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<a class="moz-txt-link-freetext"
href="http://www.mat.uniroma2.it/%7Ericerca/analis/Seminario%20di%20Equazioni%20Differenziali.html">http://www.mat.uniroma2.it/~ricerca/analis/Seminario%20di%20Equazioni%20Differenziali.html</a>
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<br>
Via della Ricerca Scientifica 1
<br>
00133 Rome (Italy)
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<br>
Phone: +39 06 72594668
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Fax: +39 06 72594699
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e-mail: <a class="moz-txt-link-abbreviated"
href="mailto:molle@mat.uniroma2.it">molle@mat.uniroma2.it</a></p>
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