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Cari colleghi,<br>
<br>
vi segnalo il prossimo seminario di ED a Roma Tor Vergata:<br>
<br>
<h2><small>Martedi' 10 Dicembre 2013, h 14:15, Aula Dal Passo </small></h2>
<small>
</small>
<h2><small>Francesco di Plinio (Universita' di Roma "Tor Vergata")
</small></h2>
<small>
</small>
<h2><small>"Euler equations and endpoint elliptic regularity in
nonsmooth domains."<br>
<br>
The planar Euler equations describe the motion of a 2-D inviscid
incompressible fluid, and also arise as a model problem for the
study of the barotropic mode (to put it simply, the vertical
average) of the Primitive equations of the ocean. It is a result
by Yudovich that, in the space-periodic case, there exist a
unique weak solution to the Euler system whenever the initial
data has bounded vorticity. Relying on a refinement of the sharp
A_p weighted bounds for singular integrals by Buckley, we prove
an L^infinity version of Grisvard's shift theorem on domains
with corners, and extend the Yudovich theory of weak solutions
for the Euler equations to this class of domains. We also
discuss analogous results for the barotropic mode of the
Primitive equations. This is partly joint work with Roger Temam
and Claude Bardos.
</small></h2>
<br>
<pre class="moz-signature" cols="72">--
Daniele Castorina
Dipartimento di Matematica - Studio 1221
Università di Roma "Tor Vergata"
Via della Ricerca Scientifica 00133 Roma
email: <a class="moz-txt-link-abbreviated" href="mailto:castorin@mat.uniroma2.it">castorin@mat.uniroma2.it</a>
tel: +390672594653</pre>
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