Differential and Integral Equations

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

Takashi Suzuki

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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

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

First available in Project Euclid: 11 May 2015

Permanent link to this document

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

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


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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