Blowup in infinite time for $2D$ Smoluchowski-Poisson equation
Takashi Suzuki · Differential and Integral Equations · 2015
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.