Differential and Integral Equations

Degenerate parabolic equation with critical exponent derived from the kinetic theory. II. Blowup threshold

Takashi Suzuki and Ryo Takahashi

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Abstract

We study a degenerate parabolic equation derived from the kinetic theory using R\'enyi-Tsallis entropy with the critical exponent. In this paper, we show the existence of the threshold mass for a solution blowing up in finite time.

Article information

Source
Differential Integral Equations Volume 22, Number 11/12 (2009), 1153-1172.

Dates
First available in Project Euclid: 20 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.die/1356019410

Mathematical Reviews number (MathSciNet)
MR2555642

Zentralblatt MATH identifier
1240.35295

Subjects
Primary: 35K59: Quasilinear parabolic equations
Secondary: 35B33: Critical exponents 35B44: Blow-up 35K65: Degenerate parabolic equations 82C40: Kinetic theory of gases

Citation

Suzuki, Takashi; Takahashi, Ryo. Degenerate parabolic equation with critical exponent derived from the kinetic theory. II. Blowup threshold. Differential Integral Equations 22 (2009), no. 11/12, 1153--1172. https://projecteuclid.org/euclid.die/1356019410.


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