Journal of Jilin University Science Edition

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Asymptotic Behavior of Solutions to Coupled FastDiffusion System with Inhomogeneous Terms

DU Runmei1, ZHU Yingjie2, LIU Fang1   

  1. 1. School of Basic Science, Changchun University of Technology, Changchun 130012, China;2. College of Science, Changchun University, Changchun 130022, China
  • Received:2015-09-10 Online:2015-11-26 Published:2015-11-23
  • Contact: LIU Fang E-mail:80929079@qq.com

Abstract:

The second boundary value problem for the fast diffusion system with inhomogeneous term was studied by the test function method and the comparison principle, obtaining its Fujita critical curve. We proved the nonexistence of the nontrivial nonnegative global solutions under the Fujita critical curve, and the existence of the nontrivial nonnegative global solutions above the Fujita critical curve.

Key words: global existence, fast diffusion system, Fujita critical curve

CLC Number: 

  • O175.26