Annuncio Seminario di Probabilita, Pisa,
Scuola Normale Superiore di Pisa
Martedi 11 aprile, ore 14:30, Aula Mancini
Seminario di Probabilita’
SPEAKER: Michael Röckner (Bielefeld University)
TITLE: Global solutions to random 3D vorticity equations for small
initial data
ABSTRACT: One proves the existence and uniqueness in
$(L^p(\mathbb{R}^3)^3 , 3/2 </p/<2,$ of a global mild solution to random
vorticity equations associated to stochastic 3/D/ Navier-Stokes
equations with linear multiplicative Gaussian noise of convolution type,
for sufficiently small initial vorticity. This resembles some earlier
deterministic results of T. Kato and are obtained by treating the
equation in vorticity form and reducing the latter to a random nonlinear
parabolic equation. The solution has maximal regularity in the spatial
variables and is weakly continuous in $(L^3 \cap L^{\frac{3p}{4p -
6})^3$with respect to the time variable. Furthermore, we obtain the
pathwise continuous dependence of solutions with respect to the initial
data.
This is joint work with Viorel Barbu.
Tutti gli interessati sono invitati a partecipare. Per informazioni
scrivere a carina.geldhauser(a)dm.unipi.it
<mailto:carina.geldhauser@dm.unipi.it>