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<h1>cvgmt weekly bulletin</h1>
<p><i>Weekly bulletin for <a href="http://cvgmt.sns.it">http://cvgmt.sns.it</a></i></p>
<h2>Summary</h2>
<p><b>Seminars by:</b> <a href='/seminar/854/'>Spirito</a>, <a href='/seminar/855/'>Planchon </a></p>
<p><b>New papers by:</b> <a href='/person/3848/' >Lamberti</a>, <a href='/person/1804/' >Csato</a>, <a href='/person/271/' >Rajala</a>, <a href='/person/1176/' >Cinti</a>, <a >Serra</a>, <a href='/person/2207/' >Pasqualetto</a>, <a >Bousquet</a>, <a href='/person/163/' >Esposito</a>, <a href='/person/3365/' >De Nitti</a>, <a href='/person/50/' >Cabré</a>, <a href='/person/2482/' >Lučić</a>, <a >Zuazua</a>, <a href='/person/2883/' >Antonelli</a>, <a href='/person/4045/' >Sk</a>, <a href='/person/78/' >March</a>, <a >Dacorogna</a>, <a >Riey</a>, <a href='/person/234/' >Le Donne</a>, <a href='/person/1898/' >Nicolussi Golo</a>, <a >Van Hoang Nguyen</a>, <a >Cozzi</a>, <a >Chowdhury</a>, <a >Roy</a>, <a >Kneuss</a>, <a >Sil</a>, <a >Rajendran</a></p>
<p><b>Modified papers by:</b> <a >Bressan</a>, <a href='/person/973/'>Ruffini</a>, <a >Yang</a>, <a >Muratov</a>, <a href='/person/3025/'>Chiri</a>, <a href='/person/1841/'>Merlet</a>, <a >Bartolucci</a>, <a href='/person/119/'>Novaga</a>, <a >Hu</a>, <a href='/person/1820/'>Jevnikar</a>, <a href='/person/3741/'>Pegon</a></p>
<h2>Events next week</h2>
<ul>
<li><p>
<b><a href='/event/668/'>Optimal transport and uncertanity</a></b><br />
Fri 26 November 2021 - Fri 26 November 2021<br />
Dipartimento di Matematica, Pisa<br />
</p></li>
</ul>
<h2>Seminars next week</h2>
<h3>Mon 22 November 2021</h3><ul>
<li><p>
In order to attend the seminar please fill in the participation form<br />
Stefano Spirito: <b><a href='/seminar/854/'>Finite Energy Weak Solutions of the Navier-Stokes-Korteweg equations</a></b><br />
Aula Magna, Dipartimento di Matematica di Pisa, 14:30<br />
</p>
<div style="font-size: smaller;"><p>In this talk I will present some results concerning the analysis of the existence of finite energy weak solutions of the Navier-Stokes-Korteweg equations, which model the dynamic of a viscous compressible fluid with capillarity effect. These kind of model are useful to study the dynamic of fluid near vacuum regions. A general theory of global existence is still missing, however for some particular cases of physical interest, it is possible to prove global existence of weak solutions and I will review some recent results regarding these cases. The talk is based on a series of joint works with Paolo Antonelli (GSSI - Gran Sasso Science Institute, L’Aquila)</p>
</div>
</li>
<li><p>
In order to attend the seminar please fill in the participation form<br />
Fabrice Planchon : <b><a href='/seminar/855/'>Dispersive effects on domains with boundary: what we know and what we don’t</a></b><br />
Aula Magna, Dipartimento di Matematica di Pisa, 16:00<br />
</p>
<div style="font-size: smaller;"><p>We discuss a series of recent results about dispersive equations
on domains, with particular interest in the so called Strichartz estimates.
We shall discuss along the talk some open questions as well.</p>
</div>
</li>
</ul>
<h2>New Papers</h2>
<p><b> Cabré, Cinti, Serra:</b> <a href='/paper/5328/'>Stable solutions to the fractional Allen-Cahn equation in the nonlocal perimeter regime</a></p>
<p><b> Cabré, Cozzi, Csato:</b> <a href='/paper/5329/'>A fractional Michael-Simon Sobolev inequality on convex hypersurfaces</a></p>
<p><b> Chowdhury, Csato, Roy, Sk:</b> <a href='/paper/5330/'>Study of fractional Poincaré inequalities on unbounded domains</a></p>
<p><b> Bousquet, Csato:</b> <a href='/paper/5331/'>The equation div$u$+$\langle a, u \rangle=f$</a></p>
<p><b> Csato, Roy, Van Hoang Nguyen:</b> <a href='/paper/5332/'>Extremals for the Singular Moser-Trudinger Inequality via n-Harmonic
Transplantation</a></p>
<p><b> Csato, Dacorogna, Sil:</b> <a href='/paper/5333/'>On the best constant in {G}affney inequality</a></p>
<p><b> Csato, Kneuss, Rajendran:</b> <a href='/paper/5334/'>On the boundary conditions in estimating $\nabla ω$ by div $ω$
and curl $ω.$</a></p>
<p><b> Csato:</b> <a href='/paper/5335/'>On the isoperimetric problem with perimeter density r^p</a></p>
<p><b> Csato, Roy:</b> <a href='/paper/5336/'>The singular Moser- Trudger Inequality on simply connected domains</a></p>
<p><b> Csato, Roy:</b> <a href='/paper/5337/'>Extremal Functions for the Singular Moser-Trudinger Inequality in 2
Dimensions</a></p>
<p><b> Esposito, Lamberti:</b> <a href='/paper/5338/'>Regularity Results for an Optimal Design Problem \dots]{Regularity Results for an Optimal Design Problem with lower order terms</a></p>
<p><b> Le Donne:</b> <a href='/paper/5339/'>Lecture notes on sub-Riemannian geometry from the Lie group viewpoint</a></p>
<p><b> Antonelli, Le Donne, Nicolussi Golo:</b> <a href='/paper/5340/'>Lipschitz Carnot-Carathéodory structures and their limits</a></p>
<p><b> Lučić, Pasqualetto, Rajala:</b> <a href='/paper/5341/'>Non-Hilbertian tangents to Hilbertian spaces</a></p>
<p><b> De Nitti, Zuazua:</b> <a href='/paper/5342/'>On the controllability of entropy solutions of scalar conservation laws at a junction via Lyapunov methods</a></p>
<p><b> March, Riey:</b> <a href='/paper/5343/'>Euler equations and trace properties of minimizers of a functional for motion compensated inpainting</a></p>
<p><b> Lučić, Pasqualetto:</b> <a href='/paper/5344/'>The metric-valued Lebesgue differentiation theorem in measure spaces and its applications</a></p>
<h2>Modified Papers</h2>
<p><b> Muratov, Novaga, Ruffini:</b> <a href='/paper/4694/'>Conducting flat drops in a confining potential</a></p>
<p><b> Bressan, Chiri:</b> <a href='/paper/4904/'>On the Regularity of Optimal Dynamic Blocking Strategies</a></p>
<p><b> Bartolucci, Hu, Jevnikar, Yang:</b> <a href='/paper/5155/'>Generic properties of free boundary problems in plasma physics</a></p>
<p><b> Merlet, Pegon:</b> <a href='/paper/5157/'>Large mass rigidity for a liquid drop model in 2D with kernels of finite moments</a></p>
<h2>Open Positions</h2>
<p><a href="/position/609/">Assistant Professor at Bocconi University</a> (deadline: Mon 22 November 2021)</p>
<p><a href="/position/614/">PostDoc position in Oxford with Prof. Andrea Mondino</a> (deadline: Wed 24 November 2021)</p>
<p><a href="/position/620/">2 Postdoctoral positions in Geometric Measure Theory and Analysis on metric spaces</a> (deadline: Thu 25 November 2021)</p>
<p><a href="/position/613/">Tenure-track position in geometry at Dartmouth</a> (deadline: Sat 27 November 2021)</p>
<p><a href="/position/596/">PhD and Two Postdoctoral Positions at EPFL Lausanne</a> (deadline: Tue 30 November 2021)</p>
<p><a href="/position/604/">Postdoctoral Positions at the Scuola Superiore Meridionale - Napoli</a> (deadline: Wed 1 December 2021)</p>
<p><a href="/position/621/">Tenure-track position in (mathematical aspects of) Quantum Information or Artificial Intelligence</a> (deadline: Wed 1 December 2021)</p>
<p><a href="/position/623/">Research Associate in Pure Mathematics at University of Bristol</a> (deadline: Sun 12 December 2021)</p>
<p><a href="/position/618/">Joint CMU Mathematical Sciences and Hoskinson Center Postdoctoral Fellowship</a> (deadline: Wed 15 December 2021)</p>
<p><a href="/position/622/">Open position (2-year postdoc or 3-year doc) in PDEs</a> (deadline: Fri 31 December 2021)</p>
<p><a href="/position/615/">Reader/Chair in Partial Differential Equations and Analysis at Imperial College London</a> (deadline: Tue 4 January 2022)</p>
<p><a href="/position/551/">Recruitment of Shing-Tung Yau Center of Southeast University (SEU-Yau Center) Nanjing, China</a> (deadline: Fri 11 February 2022)</p>
<p><a href="/position/469/">Recruitment of the Nanjing Center for Applied Mathematics（NCAM） Nanjing, China</a> (deadline: Fri 11 February 2022)</p>
<p><a href="/position/597/">Research project on Optimal Transportation</a> (deadline: Sat 31 December 2022)</p>
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