<div dir="ltr"><p class="" style="text-align:center"><span style="font-size:18pt;font-family:'Times New Roman',serif">SEMINARIO
DI MATEMATICA</span></p>
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<p class="MsoNormal" align="center" style="margin-left:9pt;text-align:center;line-height:18pt"><span style="font-size:16pt;font-family:'Times New Roman',serif">Giovedì 23 aprile 2015</span><span style="font-size:16pt;font-family:'Times New Roman',serif"></span></p>
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<p class="MsoNormal" align="center" style="margin-left:9pt;text-align:center;line-height:18pt"><u><span style="font-size:16pt;font-family:'Times New Roman',serif">Scuola Normale Superiore</span></u></p>
<p class="MsoNormal" align="center" style="margin-left:9pt;text-align:center;line-height:18pt"><span style="font-size:16pt;font-family:'Times New Roman',serif">Pisa</span></p>
<p class="MsoNormal" align="center" style="margin-left:9pt;text-align:center;line-height:18pt"><span style="font-size:16pt;font-family:'Times New Roman',serif">Aula Mancini</span></p>
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<pre style="text-align:center"><b><span style="font-size:22pt;font-family:'Times New Roman',serif;background-image:initial;background-repeat:initial">Arnaud Debussche</span></b></pre>
<p class="MsoNormal" align="center" style="text-align:center;background-image:initial;background-repeat:initial"><i><span style="font-family:'Times New Roman',serif">IRMAR and Ecole Normale Superièure de Rennes</span></i></p>
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<p class="MsoNormal" align="center" style="text-align:center"><span style="font-size:16pt;font-family:'Times New Roman',serif">Terrà un
seminario dal titolo:</span></p>
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<pre style="text-align:center;background-image:initial;background-repeat:initial"><b><span lang="EN-US" style="font-size:22pt;font-family:'Times New Roman',serif">“Diffusive limits for stochastic kinetic </span></b></pre><pre style="text-align:center;background-image:initial;background-repeat:initial"><b><span lang="EN-US" style="font-size:22pt;font-family:'Times New Roman',serif">equtions”</span></b></pre>
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<p class="MsoNormal" style="text-align:justify"><b><span lang="EN-US" style="font-family:'Times New Roman',serif">Abstract:</span></b></p>
<pre style="text-align:justify;background-image:initial;background-repeat:initial"><i><span lang="EN-US" style="font-size:12pt;font-family:'Times New Roman',serif">In this talk, we consider kinetic equations containing random terms. The kinetic models contain a small parameter and it is well known that, after scaling, when this parameter goes to zero the limit problem is a diffusion equation in the PDE sense, ie a parabolic equation of second order. A smooth noise is added, accounting for external perturbation. It scales also with the small parameter. It is expected that the limit equation is then a stochastic parabolic equation where the noise is in Stratonovitch form. Our aim is to justify in this way several SPDEs commonly used. We first treat linear equations with multiplicative noise. Then show how to extend the methods to nonlinear equations or to the more physical case of a random forcing term. The results have been obtained jointly with S. De Moor and J. Vovelle.</span></i></pre>
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<p class=""><span style="font-size:16pt;font-family:'Times New Roman',serif;background-image:initial;background-repeat:initial">Tutti gli interessati sono invitati a partecipare.</span></p>
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<p class=""><span style="font-size:16pt;font-family:'Times New Roman',serif;background-image:initial;background-repeat:initial">Classe di Scienze Matematiche e Naturali</span></p>
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<p class=""><span style="font-size:18pt;font-family:'Times New Roman',serif"> </span></p><div><div class="gmail_signature"><div dir="ltr"><div>Valeria Giuliani</div><div>Scuola Normale Superiore</div><div>Servizio alla Didattica e Allievi</div><div>tel. 050 509260</div><div>Piazza dei Cavalieri, 7</div><div>56126 Pisa</div><div>E-mail: <a href="mailto:valeria.giuliani@sns.it" target="_blank">valeria.giuliani@sns.it</a></div><div>E-mail: <a href="mailto:classi@sns.it" target="_blank">classi@sns.it</a></div></div></div></div>
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