数学季刊 ›› 2008, Vol. 23 ›› Issue (2): 276-283.

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退化的半线性反应扩散方程组解的熄灭

  

  1. Department of Applied Mathematics,Nanjing University of Finance and Economics

  • 收稿日期:2005-04-27 出版日期:2008-06-30 发布日期:2023-10-09
  • 作者简介: LI Mei(1966-), female, native of Xinhua, Jiangsu, an associate professor of Nanjing University of Finance and Economics, M.S.D., engages in partial differential equations.

Quenching for Degenerate Semilinear Reaction-diffusion Systems

  1. Department of Applied Mathematics,Nanjing University of Finance and Economics
  • Received:2005-04-27 Online:2008-06-30 Published:2023-10-09
  • About author: LI Mei(1966-), female, native of Xinhua, Jiangsu, an associate professor of Nanjing University of Finance and Economics, M.S.D., engages in partial differential equations.

摘要: In this paper, the initial boundary value problem of semilinear degenerate reaction-diffusion systems is studied. The regularization method and upper and lower solutions technique are employed to show the existence and continuation of a positive classical solution. The location of quenching points is found. The critical length is estimated by the eigenvalue method.

关键词: quenching, classical solution, global solution, critical length, degeneration

Abstract: In this paper, the initial boundary value problem of semilinear degenerate reaction-diffusion systems is studied. The regularization method and upper and lower solutions technique are employed to show the existence and continuation of a positive classical solution. The location of quenching points is found. The critical length is estimated by the eigenvalue method.

Key words: quenching, classical solution, global solution, critical length, degeneration

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