[CvGmt News] seminario Di Plinio 10/11
Daniele Castorina
castorin at mat.uniroma2.it
Wed Dec 4 10:24:11 CET 2013
Cari colleghi,
vi segnalo il prossimo seminario di ED a Roma Tor Vergata:
Martedi' 10 Dicembre 2013, h 14:15, Aula Dal Passo
Francesco di Plinio (Universita' di Roma "Tor Vergata")
"Euler equations and endpoint elliptic regularity in nonsmooth domains."
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.
--
Daniele Castorina
Dipartimento di Matematica - Studio 1221
Università di Roma "Tor Vergata"
Via della Ricerca Scientifica 00133 Roma
email: castorin at mat.uniroma2.it
tel: +390672594653
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