Existence and uniqueness of measure solutions for a system of continuity   equations with non-local flow
  In this paper, we prove existence and uniqueness of measure solutions for the Cauchy problem associated to the (vectorial) continuity equation with a non-local flow. We also give a stability result with respect to various parameters. 
Gianluca Crippa, Magali L\'ecureux-Mercier (TECHNION)
math.AP