Characterization of radially symmetric finite time blowup in multidimensional aggregation equations,

Andrea L. Bertozzi, John B. Garnett, Thomas Laurent

This paper studies the transport of a mass $\mu$ in ${\Re }^d,d\ge 2,$ by a flow field $v=-\nabla K\ast \mu$. We focus on kernels $K=|x{|}^{\alpha }/\alpha$ for $2-d\le \alpha <2$ for which the smooth den…