数学物理学报(英文版) ›› 2001, Vol. 21 ›› Issue (4): 561-571.

• 论文 • 上一篇    下一篇

THE ASYMPTOTIC BEHAVIOR OF SOLUTION FOR THE NONLINEAR HEAT-CONDUCTION EQUATION AND ITS APPLICATION

 陈方年, 段志文   

  1. HanKou Branch, Huazhang University of Science and Technology, Wuhan 430012, China Department of Mathematics, Huazhang University of Science and Technology, Wuhan 430074, China
  • 出版日期:2001-10-06 发布日期:2001-10-06

THE ASYMPTOTIC BEHAVIOR OF SOLUTION FOR THE NONLINEAR HEAT-CONDUCTION EQUATION AND ITS APPLICATION

 CHEN Fang-Nian, DUAN Zhi-Wen   

  1. HanKou Branch, Huazhang University of Science and Technology, Wuhan 430012, China Department of Mathematics, Huazhang University of Science and Technology, Wuhan 430074, China
  • Online:2001-10-06 Published:2001-10-06

摘要:

In this paper the nonlinear heat-conduction equations with Dirichlet boundary condition and the nonlinear boundary condition are studied. The
asymptotic behavior of the global of solution are analyzed by using Lyapuunov function.As its application, the approximate solutions are constructed.

关键词: Nonlinear heat-conduction equation, Asymptotic behavior, Approximate solution

Abstract:

In this paper the nonlinear heat-conduction equations with Dirichlet boundary condition and the nonlinear boundary condition are studied. The
asymptotic behavior of the global of solution are analyzed by using Lyapuunov function.As its application, the approximate solutions are constructed.

Key words: Nonlinear heat-conduction equation, Asymptotic behavior, Approximate solution

中图分类号: 

  • 35B35 35B60 35K60