数学物理学报(英文版) ›› 1996, Vol. 16 ›› Issue (S1): 100-116.

• 论文 • 上一篇    下一篇

APPROCHING A BLOW-UP POINT IN ONE-DIMENSIONAL SEMILINEAR HEAT SYSTEMS

胡久乡, 陈庆益   

  1. Dept. of Math. Huazhong Univ. of Sci. and Tech. Wuhan 430074
  • 收稿日期:1993-09-26 修回日期:1994-06-27 出版日期:1996-12-31 发布日期:1996-12-31

APPROCHING A BLOW-UP POINT IN ONE-DIMENSIONAL SEMILINEAR HEAT SYSTEMS

Hu Jiuxang, Chen Qingyi   

  1. Dept. of Math. Huazhong Univ. of Sci. and Tech. Wuhan 430074
  • Received:1993-09-26 Revised:1994-06-27 Online:1996-12-31 Published:1996-12-31

摘要: In this paper, using self-similar variablies technique we consider asymptotic behavior of blowing up solution of Cauchy problem and Dirichlet problem for one-dimensional heat systems near blow-up time.

关键词: blow-up point, blow-up rate, self-similar variables

Abstract: In this paper, using self-similar variablies technique we consider asymptotic behavior of blowing up solution of Cauchy problem and Dirichlet problem for one-dimensional heat systems near blow-up time.

Key words: blow-up point, blow-up rate, self-similar variables