数学物理学报(英文版) ›› 1986, Vol. 6 ›› Issue (3): 267-277.

• 论文 • 上一篇    下一篇

THE QUENCHING OF SOLUTION OF SEMILINEAR PARABOLIC SYSTEMS

谢春红   

  1. Department of Mathematics, Nanjing University, Nanjing, China
  • 收稿日期:1984-09-19 出版日期:1986-09-25 发布日期:1986-09-25

THE QUENCHING OF SOLUTION OF SEMILINEAR PARABOLIC SYSTEMS

Xie Chunhong   

  1. Department of Mathematics, Nanjing University, Nanjing, China
  • Received:1984-09-19 Online:1986-09-25 Published:1986-09-25

摘要: This paper deals with the quenching of the solutions for semilinear parabolic systems
ut-△u=ε1f(u,v), vt-a△v=ε2g(u,v),a=0 or a=1.
Conditions under which quenching occurs in finite time and the condition for the existence of global solution are given.

Abstract: This paper deals with the quenching of the solutions for semilinear parabolic systems
ut-△u=ε1f(u,v), vt-a△v=ε2g(u,v),a=0 or a=1.
Conditions under which quenching occurs in finite time and the condition for the existence of global solution are given.