Almost collapse mass quantization in 2D Smoluchowski-Poisson equation

Abstract

We study 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 show collapse mass quantization with possible vanishing term.

References in corpus (2)

• Thermodynamics and collapse of self-gravitating Brownian particles in D dimensions
• Multiple peak aggregations for the Keller-Segel system