[1] Li Huiling**, Wang Mingxin,. Blow-Up Rate for a Semilinear Parabolic System* [J]. Journal of Southeast University (English Edition), 2002, 18 (1): 99-102. [doi:10.3969/j.issn.1003-7985.2002.01.020]

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Blow-Up Rate for a Semilinear Parabolic System^*()

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Journal of Southeast University (English Edition)[ISSN:1003-7985/CN:32-1325/N]

Volumn:

18

Issue:

2002 1

Page:

99-102

Research Field:

Mathematics, Physics, Mechanics

Publishing date:

2002-03-30

Info

Title:

Blow-Up Rate for a Semilinear Parabolic System^*

Author(s):

Li Huiling^**;  Wang Mingxin

Department of Applied Mathematics, Southeast University, Nanjing 210096, China

Keywords:

parabolic systems;  nonlinear boundary conditions;  blow-up rates;  upper and lower bounds

PACS:

O175.26

DOI:

10.3969/j.issn.1003-7985.2002.01.020

Abstract:

This paper deals with the blow-up rate of positive solution for a semilinear parabolic system coupled in the equations and a boundary condition. The upper and lower bounds of blow-up rates are obtained.

References:

[1] Escobedo M, Herrero M A. Boundedness and blow up for a semilinear reaction-diffusion system [J].J of Diff Equns, 1991, 89:176-202.
[2] Fila M, Levine H A. On crirical exponents for a semilinear parabolic system coupled in an equation and a boundary condition [J]. J Math Anal Appl, 1996, 204:494-521.
[3] Chlebik M, Fila M. From critical exponents to blow-up rates for parabolic problems[J]. Rendiconti Mat Appl, 1999, 19:449-470.
[4] Deng K, Fila M, Levine H A. On critical exponents for a system of heat equations coupled in the boundary conditions [J]. Acta Math Univ Comenianae, 1994, 63:169-192
[5] Wang M X. Blow-up rates for semilinear parabolic systems with nonlinear boundary conditions [J]. Applied Mathematics Letters, to be appeared.
[6] Wang S, Xie C H, Wang M X. Note on critical exponents for a system of heat equations coupled in the boundary conditions [J]. J Math Anal and Appl, 1998, 218:313-324.
[7] Hu B. Remarks on the blowup estimate for solutions of the heat equation with a nonlinear boundary condition [J]. Differential Integral Equations, 1996, 9:891-901.

Memo

Memo:

* The project supported by the “333" project of Jiangsu Province and the National Natural Science Foundation of China(19831060).
** Born in 1977, female, graduate.

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