[CvGmt News] seminario Di Plinio 10/11

[Daniele Castorina]

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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