[CvGmt News] CVGMT' Seminar

[Valentino Magnani]

Dear All,

    next Thursday, 1 December,
    at 17:30 in ``Sala dei Seminari'' of the
    Department of Mathematics

    Stefania Maniglia, from Department of Mathematics,
    will present

``Transport equation for log-lipschitz vector fields and
Littlewood-Paley decomposition.''

The abstract follows.

We illustrate the results of the paper Ã``Equations de transport relatives 
a` des champs de vecteurs non-lipschitziens et mecanique des fluides" by 
H.Bahouri and J.-H.Chemin. In particular, we describe (as done by the 
authors in their paper) how to get an existence and uniqueness result for 
measure valued solutions of the Cauchy problem for the transport equation, 
using the Littlewood-Paley theory and Besov spaces, where the involved 
vector field is supposed to be a free-divergence vector field belonging to 
the space L1loc(\R+;LL(\Rd)) and LL(\Rd) denotes the space of log-lipshitz 
functions.