Applied Mathematics and Mechanics (English Edition) ›› 1983, Vol. 4 ›› Issue (6): 899-907.

• Articles • 上一篇    下一篇

THE ASYMPTOTIC SOLUTION OF A KIND OF STEFAN PROBLEM

刘曾荣   

  1. Anhui University, Hetei Anhui
  • 收稿日期:1982-10-07 出版日期:1983-11-18 发布日期:1983-11-18

THE ASYMPTOTIC SOLUTION OF A KIND OF STEFAN PROBLEM

Liu Zheng-rong   

  1. Anhui University, Hetei Anhui
  • Received:1982-10-07 Online:1983-11-18 Published:1983-11-18

摘要: In this paper, a kind of Stefan problem subject to general initial condition is studied. The slab considered is divided into three regions. There is a different time scale in each one. By means of PLK method or like multi-scales method, the asymptotic solution of each one is obtained. Finally we discuss the asymptotic solution and draw some conclusions.

关键词: higher order Broer-Kaup equation, (2+1)-dimension, coherent structure, homogeneous balance method

Abstract: In this paper, a kind of Stefan problem subject to general initial condition is studied. The slab considered is divided into three regions. There is a different time scale in each one. By means of PLK method or like multi-scales method, the asymptotic solution of each one is obtained. Finally we discuss the asymptotic solution and draw some conclusions.

Key words: higher order Broer-Kaup equation, (2+1)-dimension, coherent structure, homogeneous balance method

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