Acta mathematica scientia,Series B

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BLOW-UP AND GLOBAL EXISTENCE FOR A COUPLED SYSTEM OF DEGENERATE PARABOLIC EQUATIONS IN A BOUNDED DOMAIN

Mu Chunlai; Hu Xuegang; Li Yuhuan; Cui Zejian   

  1. College of Mathematics and Physics, Chongqing University, Chongqing 400044, China
  • Received:2004-11-22 Revised:1900-01-01 Online:2007-01-20 Published:2007-01-20
  • Contact: Mu Chunlai

Abstract: This article deals with the conditions that ensure the blow-up
phenomenon or its absence for solutions of the system
ut=△ ul+up1vq1 and vt=△ vm+up2vq2 with homogeneous Dirichlet boundary conditions. The results depend crucially on the sign of the difference p2q1-(l-p1)(m-q2), the initial data, and the domain $\Omega$.

Key words: Global existence, blow-up, degenerate parabolic system

CLC Number: 

  • 35B40
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