数学物理学报(英文版) ›› 2013, Vol. 33 ›› Issue (4): 1024-1030.doi: 10.1016/S0252-9602(13)60060-0

• 论文 • 上一篇    下一篇

BLOW-UP OF THE SOLUTION FOR A CLASS OF POROUS MEDIUM EQUATION WITH POSITIVE INITIAL ENERGY

吴秀兰1,2|高文杰1*   

  1. 1. Institute of Mathematics, Jilin University, Changchun 130012, China
    2. College of Mathematics, Jilin Normal University, Siping 136000, China
  • 收稿日期:2012-05-14 出版日期:2013-07-20 发布日期:2013-07-20
  • 通讯作者: 高文杰,wjgao@jlu.edu.cn E-mail:chjlsywxl@126.com; wjgao@jlu.edu.cn
  • 基金资助:

    The project is supported by NSFC (11271154), Key Lab of Symbolic Computation and Knowledge Engineering of Ministry of Education and by the 985 Program of Jilin University.

BLOW-UP OF THE SOLUTION FOR A CLASS OF POROUS MEDIUM EQUATION WITH POSITIVE INITIAL ENERGY

 WU Xiu-Lan1,2, GAO Wen-Jie1*   

  1. 1. Institute of Mathematics, Jilin University, Changchun 130012, China
    2. College of Mathematics, Jilin Normal University, Siping 136000, China
  • Received:2012-05-14 Online:2013-07-20 Published:2013-07-20
  • Contact: GAO Wen-Jie,wjgao@jlu.edu.cn E-mail:chjlsywxl@126.com; wjgao@jlu.edu.cn
  • Supported by:

    The project is supported by NSFC (11271154), Key Lab of Symbolic Computation and Knowledge Engineering of Ministry of Education and by the 985 Program of Jilin University.

摘要:

This paper deals with a class of porous medium equation
ut = Δum + f(u)
with homogeneous Dirichlet boundary conditions. The blow-up criteria is established by using the method of energy under the suitable condition on the function f(u).

关键词: porous medium equation, blow-up, positive initial energy

Abstract:

This paper deals with a class of porous medium equation
ut = Δum + f(u)
with homogeneous Dirichlet boundary conditions. The blow-up criteria is established by using the method of energy under the suitable condition on the function f(u).

Key words: porous medium equation, blow-up, positive initial energy

中图分类号: 

  • 35K55