Acta mathematica scientia,Series A ›› 2010, Vol. 30 ›› Issue (2): 386-396.

• Articles • Previous Articles     Next Articles

Blow-up and Global Existence for |a Nonlocal Degenerate Quasilinear Parabolic System

CHEN Yu-Juan   

  1. Department of Mathematics, Southwest University, Nanjing 210097|School of  |Science, Nantong University, Jiangsu Nantong 226007
  • Received:2008-03-25 Revised:2009-01-12 Online:2010-04-25 Published:2010-04-25
  • Supported by:

    国家自然科学基金(10671210)、江苏省教育厅自然科学指导性计划项目 (07KJD110166)、江苏省青蓝工程以及
    南通大学立项资助项目(06Z011,  08B02)资助.

Abstract:

This paper investigates the blow-up and global existence of nonnegative solutions for a class of nonlocal
degenerate parabolic system. The sub-and-super solutions method and the regularization skill are used. The critical exponent of the system is gained. Furthermore, for the special case m = n = 1, p1= q1 =0, p2q2>1, the uniform blow-up profile is gained.

Key words: Degenerate parabolic system, Nonlocal source, Global existence, Blow-up

CLC Number: 

  • 35K55
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