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Finite time blow-up for a reaction-diffusion system in bounded domain

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Abstract

This paper mainly considers the coupled parabolic system in a bounded domain: u t = Δu + u α v p, v t = Δv + u q v β in Ω × (0, T) with null Dirichlet boundary value condition which had been discussed by Wang in (Z Angew Math Phys 51:160–167, 2000). The aim of this paper is to solve the open problem mentioned in the Remark of Wang (Z Angew Math Phys 51:160–167, 2000).

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Authors and Affiliations

  1. Center for PDE, East China Normal University, Shanghai, 201100, People’s Republic of China

    Xueli Bai

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  1. Xueli Bai
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Correspondence to Xueli Bai.

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Supported by the ECNU Foundation (No. 78210164).

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Bai, X. Finite time blow-up for a reaction-diffusion system in bounded domain. Z. Angew. Math. Phys. 65, 135–138 (2014). https://doi.org/10.1007/s00033-013-0330-4

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  • DOI: https://doi.org/10.1007/s00033-013-0330-4

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