Differential and Integral Equations

Blowup in infinite time for $2D$ Smoluchowski-Poisson equation

Takashi Suzuki

Abstract

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.

Article information

Source
Differential Integral Equations, Volume 28, Number 7/8 (2015), 601-630.

Dates
First available in Project Euclid: 11 May 2015

Suzuki, Takashi. Blowup in infinite time for $2D$ Smoluchowski-Poisson equation. Differential Integral Equations 28 (2015), no. 7/8, 601--630. https://projecteuclid.org/euclid.die/1431347857