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Almost collapse mass quantization in 2D Smoluchowski–Poisson equation
Author(s) -
Suzuki Takashi
Publication year - 2015
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.3620
Subject(s) - mathematics , gravitational singularity , dirichlet boundary condition , poisson's equation , mathematical analysis , poisson distribution , dirichlet distribution , boundary value problem , quantization (signal processing) , norm (philosophy) , smoluchowski coagulation equation , statistical physics , physics , statistics , political science , law
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: blowup threshold on L 1 norm of the initial value, finiteness of blowup points, formation of delta singularities called collapses, occurrence of type II blowup, exclusion of the boundary blowup point, and so forth. Here, we show the collapse mass quantization with possible residual terms. Copyright © 2015 John Wiley & Sons, Ltd.