<div dir="ltr"><div>Seminari di Matematica Applicata, Dipartimento di Matematica &quot;F. Casorati&quot; e Istituto del CNR IMATI &quot;E. Magenes&quot; di Pavia.<br><br>Martedì 23 maggio 2023, alle ore 15.00 precise, presso l&#39;aula Beltrami del Dipartimento di Matematica,<br><br><h4 style="padding:0px;margin:0px 0px 10px;clear:none;color:rgb(23,28,36);font-weight:300;font-stretch:normal;font-size:24px;line-height:1.2;font-family:Montserrat,-apple-system,BlinkMacSystemFont,&quot;Segoe UI&quot;,Roboto,sans-serif;box-sizing:border-box">Viorel Barbu (“Al. I. Cuza” University, Iasi)</h4><div><br></div>terrà un seminario dal titolo:<br><br><h3 style="padding:0px;margin:5px 0px 8px;clear:none;color:rgb(23,28,36);font-weight:300;font-stretch:normal;font-size:28px;line-height:1.2;font-family:Montserrat,-apple-system,BlinkMacSystemFont,&quot;Segoe UI&quot;,Roboto,sans-serif;box-sizing:border-box">Nonlinear Fokker-Planck equations: existence and trend to equilibrium.</h3></div><div><br></div><div>Il seminario verrà anche trasmesso in diretta su zoom.<br><div><br></div><div>Link Zoom: </div><a href="https://us02web.zoom.us/j/87518137128?pwd=eHg2eG9QZUdydFJEU1NESWN5a1lPQT09" target="_blank">https://us02web.zoom.us/j/87518137128?pwd=eHg2eG9QZUdydFJEU1NESWN5a1lPQT09</a><br><div><span style="color:rgb(61,61,61);font-family:Roboto,sans-serif"><br></span></div><div><span style="color:rgb(61,61,61);font-family:Roboto,sans-serif">Abstract. </span></div><div><span style="color:rgb(61,61,61);font-family:Roboto,sans-serif;font-size:14px">The Fokker-Planck equations describes the dynamic of probability laws of stochastic differential equations and also of processes far from equilibrium in statistical mechanics. Here one discusses the existence of a generalized solution<span class="gmail-Apple-converted-space"> \rho(t)</span></span><span class="gmail-MathJax gmail-CtxtMenu_Attached_0" tabindex="0" style="padding:0px;margin:0px;box-sizing:border-box;line-height:0;color:rgb(61,61,61);font-family:Roboto,sans-serif;font-size:16.743999481201172px"><span class="gmail-MJX-TEX" aria-hidden="true" style="padding:1px 0px;margin:0px;display:inline-block;line-height:0;border-collapse:collapse;word-wrap:normal;word-spacing:normal;white-space:nowrap;direction:ltr;box-sizing:border-box;font-family:MJXZERO,MJXTEX"><span class="gmail-mjx-i" style="padding:0px;margin:0px;display:inline-block;box-sizing:border-box"><span class="gmail-mjx-c1D70C gmail-TEX-I" style="padding:0px;margin:0px;display:inline-block;box-sizing:border-box;font-family:MJXZERO,MJXTEX-I"></span></span><span class="gmail-mjx-n" style="padding:0px;margin:0px;display:inline-block;box-sizing:border-box"><span class="gmail-mjx-c28" style="padding:0px;margin:0px;display:inline-block;box-sizing:border-box"></span></span><span class="gmail-mjx-i" style="padding:0px;margin:0px;display:inline-block;box-sizing:border-box"><span class="gmail-mjx-c1D461 gmail-TEX-I" style="padding:0px;margin:0px;display:inline-block;box-sizing:border-box;font-family:MJXZERO,MJXTEX-I"></span></span><span class="gmail-mjx-n" style="padding:0px;margin:0px;display:inline-block;box-sizing:border-box"><span class="gmail-mjx-c29" style="padding:0px;margin:0px;display:inline-block;box-sizing:border-box"></span></span></span><span style="margin:0px;box-sizing:border-box;padding:1px 0px 0px;border:0px;display:block;width:auto;overflow:hidden"></span></span><span style="color:rgb(61,61,61);font-family:Roboto,sans-serif;font-size:14px"><span class="gmail-Apple-converted-space"> </span>via nonlinear semigroup theory in<span class="gmail-Apple-converted-space"> L^1    </span></span><span class="gmail-MathJax gmail-CtxtMenu_Attached_0" tabindex="0" style="padding:0px;margin:0px;box-sizing:border-box;line-height:0;color:rgb(61,61,61);font-family:Roboto,sans-serif;font-size:16.743999481201172px"><span class="gmail-MJX-TEX" aria-hidden="true" style="padding:1px 0px;margin:0px;display:inline-block;line-height:0;border-collapse:collapse;word-wrap:normal;word-spacing:normal;white-space:nowrap;direction:ltr;box-sizing:border-box;font-family:MJXZERO,MJXTEX"><span style="padding:0px;margin:0px;display:inline-block;box-sizing:border-box"><span class="gmail-mjx-i" style="padding:0px;margin:0px;display:inline-block;box-sizing:border-box"><span class="gmail-mjx-c1D43F gmail-TEX-I" style="padding:0px;margin:0px;display:inline-block;box-sizing:border-box;font-family:MJXZERO,MJXTEX-I"></span></span><span style="padding:0px;margin:0px;box-sizing:border-box;vertical-align:0.363em"><span class="gmail-mjx-n" size="s" style="padding:0px;margin:0px;display:inline-block;box-sizing:border-box;font-size:11.838006973266602px"><span class="gmail-mjx-c31" style="padding:0px;margin:0px;display:inline-block;box-sizing:border-box"></span></span></span></span></span><span style="margin:0px;box-sizing:border-box;padding:1px 0px 0px;border:0px;display:block;width:auto;overflow:hidden"><br></span></span></div><div><span style="color:rgb(61,61,61);font-family:Roboto,sans-serif;font-size:14px">and also the convergence to equilibrium of solutions (the H-theorem).</span><br style="padding:0px;margin:0px;box-sizing:border-box;color:rgb(61,61,61);font-family:Roboto,sans-serif;font-size:14px"><p style="padding:0px;margin:0px 0px 20px;box-sizing:border-box;color:rgb(61,61,61);line-height:23px;font-stretch:normal;font-family:Roboto,sans-serif"><span style="font-size:14px">The talk surveys some recent results of V. B. and M. Rockner published with Annals of Probability (2020), J. Functional Analysis (2021,2023), Indiana Univ Math.Journal (72(1), 2023).</span></p><p style="padding:0px;margin:0px 0px 20px;box-sizing:border-box;color:rgb(61,61,61);line-height:23px;font-stretch:normal;font-family:Roboto,sans-serif"><span style="color:rgb(34,34,34);font-family:Arial,Helvetica,sans-serif">---------------------</span><br></p></div></div><div>Pagina web dei Seminari di Matematica Applicata<br><a href="https://matematica.unipv.it/ricerca/cicli-di-seminari/seminari-di-matematica-applicata/" rel="noreferrer" target="_blank">https://matematica.unipv.it/ricerca/cicli-di-seminari/seminari-di-matematica-applicata/</a></div></div>