var sms = '<div id="sms_bulletin">  <div id="sms_header">  <div class="do_not_print" id="arrow_left"><a href="?next=-24"><img src="//www2.math.ethz.ch/smsjs/images/arrow_left.png"/></a></div><div class="do_not_print" id="arrow_right"><a href="?next=-22"><img src="//www2.math.ethz.ch/smsjs/images/arrow_right.png"/></a></div>    <div class="sms_title">      <span style="float: left;">SMS</span>      <span>SWISS MATHEMATICAL SOCIETY</span>      <span style="float: right;">SMG</span>    </div>    <div class="sms_info">      <span style="float: left; width: 250px;">Bulletin no. 7</span>      <span style="float: right; text-align:right; width: 250px;">14.7 - 18.7.2025</span>      <span style="text-align: center; display: block; width: 250px; margin: auto; position: relative;">Summer Break 2025</span>    </div>  </div>  <div></div>  <div id="sms_content">    <div class="day">      <div class="day_title">        Monday, July 14      </div>      <div class="day_content">        <div class="day_content_item no_event">        No events scheduled today!        </div>      </div>    </div>    <div class="day">      <div class="day_title">        Tuesday, July 15      </div>      <div class="day_content">        <div class="day_content_item no_event">        No events scheduled today!        </div>      </div>    </div>    <div class="day">      <div class="day_title">        Wednesday, July 16      </div>      <div class="day_content">        <div class="day_content_item normal"><div class="event_location uni_ba"><a class="external" href="https://unibas.ch">Universität Basel</a></div><div class="event_type"><a class="external" href="https://dmi.unibas.ch/de/forschung/mathematik/analysis/analysis-seminar">Analysis Seminar</a></div><br /><div class="event_speaker"> Umberto Pappalettera (Universität Bielefeld)</div><div class="event_title"><a class="external" href="https://dmi.unibas.ch/de/news-events/detail/an-afternoon-of-analysis-talks-umberto-pappalettera-universitaet-bielefeld/">Collapse and burst of point vortices</a> <span class="abstract-button do_not_print">abstract</span></div><div class="abstract-text" style="display: none"><strong>Abstract:</strong><br />In this talk we consider the Euler point vortices system, and identify a condition under which self-similar bursts and collapses of three isolated vortices in the plane are stable with respect to a sufficiently regular external perturbation. The condition is related to the stability of the linearized dynamics around three vortices evolving in a self-similar fashion. As a consequence, we show existence of bursts out of (and collapses into) any given initial configuration of vortices, both in the plane and in bounded domains. Finally, we discuss extensions to the generalized Surface Quasi-Geostrophic point vortices system. Joint work with Francesco Grotto.</div><div class="event_time">15:00 &bull; Universität Basel, Spiegelgasse 5, Seminarraum 05.002</div>        </div>        <div class="day_content_item normal"><div class="event_location uni_ba"><a class="external" href="https://unibas.ch">Universität Basel</a></div><div class="event_type"><a class="external" href="https://dmi.unibas.ch/de/forschung/mathematik/analysis/analysis-seminar">Analysis Seminar</a></div><br /><div class="event_speaker"> Eliseo Luongo (Universität Bielefeld)</div><div class="event_title"><a class="external" href="https://dmi.unibas.ch/de/news-events/detail/an-afternoon-of-analysis-talks-eliseo-luongo-universitaet-bielefeld/">Spectral instability in fluid mechanics and non-uniqueness of supercritical heat equations</a> <span class="abstract-button do_not_print">abstract</span></div><div class="abstract-text" style="display: none"><strong>Abstract:</strong><br />Starting from the seminal work of H. Jia and V. Sverák (2015), it is now well understood that the existence of linearly unstable forward self-similar solutions can be used to establish non-uniqueness of Leray-Hopf solutions to the unforced incompressible 3D Navier-Stokes equations. Although the existence of such unstable forward self-similar solutions remains an open problem, several works have since built upon the ideas of Jia and Sverák to demonstrate non-uniqueness for various fluid dynamics models with non-zero forcing terms. In this talk, we consider the unforced heat equation with a focusing power-type nonlinearity, and rigorously implement the Jia-Sverák method to establish non-uniqueness of local solutions in the full range of supercritical Lebesgue spaces. In particular, we provide a rigorous verification of the (analogue of the) spectral assumption made by Jia and Sverák for the Navier-Stokes equations. This is joint work with M. Hofmanová (Bielefeld), I. Glogic (Bielefeld), and T. Lange (Pisa).</div><div class="event_time">16:00 &bull; Universität Basel, Spiegelgasse 5, Seminarraum 05.002</div>        </div>        <div class="day_content_item normal"><div class="event_location uni_ba"><a class="external" href="https://unibas.ch">Universität Basel</a></div><div class="event_type"><a class="external" href="https://dmi.unibas.ch/de/forschung/mathematik/analysis/analysis-seminar">Analysis Seminar</a></div><br /><div class="event_speaker"> Jaemin Park (Yonsei University)</div><div class="event_title"><a class="external" href="https://dmi.unibas.ch/de/news-events/detail/an-afternoon-of-analysis-talks-jaemin-park-yonsei-university/">Stability of stratified density under incompressible flows</a> <span class="abstract-button do_not_print">abstract</span></div><div class="abstract-text" style="display: none"><strong>Abstract:</strong><br />In this talk, I will discuss asymptotic stability in the incompressible porous media equation in a periodic channel. It is well known that a stratified density, which strictly decreases in the vertical direction, is asymptotically stable under sufficiently small, smooth perturbations. We achieve improvements in the regularity assumptions on the perturbation and in the convergence rate. We apply a similar idea to the Stokes transport system. Instead of relying on the linearized equations, we directly address the nonlinear problem, and the decay of solutions will be obtained from the gradient flow structure of the equation.</div><div class="event_time">17:30 &bull; Universität Basel, Spiegelgasse 5, Seminarraum 05.002</div>        </div>      </div>    </div>    <div class="day">      <div class="day_title">        Thursday, July 17      </div>      <div class="day_content">        <div class="day_content_item no_event">        No events scheduled today!        </div>      </div>    </div>    <div class="day">      <div class="day_title">        Friday, July 18      </div>      <div class="day_content">        <div class="day_content_item no_event">        No events scheduled today!        </div>      </div>    </div>  </div>  <div id="sms_footer">    address: Alessandra Naldi Windler, Departement Mathematik, HG G 51.4, ETH Zurich, Raemistrasse 101, CH-8092 Zurich<br />    email: <a href="mailto:bulletin@math.ch">bulletin@math.ch</a> | phone: +41 44 632 3684 | url: <a href="https://math.ch">https://math.ch</a>    <br /><br /><img src="//www2.math.ethz.ch/smsjs/sms_logo.gif" width="150" alt="SMS/SMG Logo" title="SMS/SMG Logo" />  </div></div>';