We study the Smoluchowski-Poisson equation in two space dimensions provided with Dirichlet boundary condition for the Poisson part. For this equation, several profiles of blowup solution have been noticed. Here, we study blowup in infinite time in accordance with the residual vanishing and Hamiltonian control on collapse dynamics.
"Blowup in infinite time for $2D$ Smoluchowski-Poisson equation." Differential Integral Equations 28 (7/8) 601 - 630, July/August 2015.