Residual vanishing for blowup solutions to 2D Smoluchowski-Poisson equation
Takashi Suzuki
TL;DR
This paper investigates the blowup solutions of the 2D Smoluchowski-Poisson equation with Dirichlet boundary conditions, demonstrating the residual vanishing phenomenon among various observed blowup profiles.
Contribution
It establishes the residual vanishing property for blowup solutions, a novel insight into the behavior of solutions to this equation.
Findings
Residual vanishing occurs in blowup solutions
Multiple blowup profiles are analyzed
Provides new understanding of solution behavior near blowup
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 the residual vanishing.
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Taxonomy
TopicsAdvanced Mathematical Modeling in Engineering · Nonlinear Partial Differential Equations · Mathematical Biology Tumor Growth