Differential and Integral Equations

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

Takashi Suzuki

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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

Permanent link to this document
https://projecteuclid.org/euclid.die/1431347857

Mathematical Reviews number (MathSciNet)
MR3345327

Zentralblatt MATH identifier
1363.35162

Subjects
Primary: 35K55: Nonlinear parabolic equations 35Q99: None of the above, but in this section

Citation

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


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