数学物理学报(英文版)

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DISAPPEARANCE OF INTERFACES FOR DEGENERATE PARABOLIC EQUATIONS WITH VARIABLE DENSITY AND ABSORPTION

胡学刚; 穆春来   

  1. 四川大学数学系, 成都 610064
  • 收稿日期:2006-01-08 修回日期:1900-01-01 出版日期:2007-10-20 发布日期:2007-10-20
  • 通讯作者: 胡学刚
  • 基金资助:

    This work is supported in part by NNSF of China (10571126) and in part by Program for New Century Excellent Talents in University

DISAPPEARANCE OF INTERFACES FOR DEGENERATE PARABOLIC EQUATIONS WITH VARIABLE DENSITY AND ABSORPTION

Hu Xuegang; Mu Chunlai   

  1. 1.Department of Mathematics, Sichuan University, Chengdu 610064, China
    2.Institute of Applied Mathematics, Chongqing University of Posts and Telecommunications, Chongqing 400065, China
  • Received:2006-01-08 Revised:1900-01-01 Online:2007-10-20 Published:2007-10-20
  • Contact: Hu Xuegang

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摘要：

In this article, the authors deal with the Cauchy problem of a nonlinear parabolic equation with variable density and absorption. By using energy methods, the authors prove that the interfaces can disappear in finite time under some assumptions on the density functions.

关键词: Disappearance of interface, degenerate parabolic equation,
variable density, absorption

Abstract:

In this article, the authors deal with the Cauchy problem of a nonlinear parabolic equation with variable density and absorption. By using energy methods, the authors prove that the interfaces can disappear in finite time under some assumptions on the density functions.

Key words: Disappearance of interface, degenerate parabolic equation,
variable density, absorption

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  • 35K55
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