Let $\Omega$ be a bounded domain in $\R^n$ whose boundary is $\ka{ 1,\,\gamma}$ for $\gamma\in(0,\,1)$. Consider the aggregation equation in the case of the initial condition being a positive multiple of the characteristic function of $\Omega$. In this paper we prove global in time analyticity of the flow generated by the velocity field which propagates the density solution of this equation.
Categories: math.AP