Acta mathematica scientia,Series B ›› 2001, Vol. 21 ›› Issue (4): 561-571.

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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

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

CLC Number: 

  • 35B35 35B60 35K60
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