Title: Integral inequalities for singular integrals and formation of  
singularities in transport equations.

Abstract:
In this seminar we shall consider some new integral inequalities for  
Singular Integrals, together with applications to blow-up, in  finite  
time, for a general class of initial data on a non-linear  transport  
equation having a non-local velocity field given by the  Riesz  
transforms of the active scalar.