反应—扩散方程的熄灭问题

数学季刊 ›› 2009, Vol. 24 ›› Issue (2): 219-222.

反应—扩散方程的熄灭问题

1. Institute of Applied Mathematics, Naval Aeronautical Engineering Institute2. School of Mathematics, Shandong Institute of Business and Technology

收稿日期:2004-12-16 出版日期:2009-06-30 发布日期:2023-07-06
作者简介:XU Guang-shan(1963-), male, native of Qingdao, Shandong, an associate professor of Shandong Institute Business and Technology, engages in PDE; MA Zhong-tai(1955–), male, native of Weifang, Shandong, a professor of Shandong Institute Business and Technology, engages in PDE.
基金资助:
Supported by EDSF of Shandong Province(J04A11)；

The Quenching Problems of R-D Equation

1. Institute of Applied Mathematics, Naval Aeronautical Engineering Institute2. School of Mathematics, Shandong Institute of Business and Technology

Received:2004-12-16 Online:2009-06-30 Published:2023-07-06
About author:XU Guang-shan(1963-), male, native of Qingdao, Shandong, an associate professor of Shandong Institute Business and Technology, engages in PDE; MA Zhong-tai(1955–), male, native of Weifang, Shandong, a professor of Shandong Institute Business and Technology, engages in PDE.
Supported by:
Supported by EDSF of Shandong Province(J04A11)；

摘要/Abstract

摘要： In this article, we consider a reaction-diffsion differential equation with initial value conditions u(x,0) = 0 on [0,a] and boundary condition u_x + α_iu = 0 on Γ = {0,a} × (0,T), and the quenching happens for the reaction-diffusion equation.

关键词: R-D equation, quenching, strong maximum principle

Abstract: In this article, we consider a reaction-diffsion differential equation with initial value conditions u(x,0) = 0 on [0,a] and boundary condition u_x + α_iu = 0 on Γ = {0,a} × (0,T), and the quenching happens for the reaction-diffusion equation.

Key words:

R-D equation, quenching, strong maximum principle

中图分类号:

O175.26

许广山, 马忠泰, 时宝. 反应—扩散方程的熄灭问题[J]. 数学季刊, 2009, 24(2): 219-222.

XU Guang-shan, MA Zhong-tai, SHI Bao. The Quenching Problems of R-D Equation[J]. Chinese Quarterly Journal of Mathematics, 2009, 24(2): 219-222.

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