Acta mathematica scientia,Series B

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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

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

CLC Number: 

  • 35K55
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