Multiple Blow-up Rates to a Coupling Heat System
Received:September 11, 2011  Revised:October 31, 2011
Key Words: coupled localized sources   coupled local sources   uniform blow-up profile   blow-up rate.  
Fund Project:Supported by the National Natural Science Foundation of China (Grant No.11126128), China Postdoctoral Science Foundation (Grant No.20110490409) and Science Foundation of Liaoning Education Department (Grant No.L2010146).
Author NameAffiliation
Jinhuan WANG Department of Mathematics, Liaoning University, Liaoning 110036, P. R. China
$2$. Department of Mathematical Sciences, Tsinghua University, Beijing 100084, P. R. China
Liang HONG Department of Mathematics, Liaoning University, Liaoning 110036, P. R. China
School of Mathematical Sciences, Dalian University of Technology, Liaoning 116024, P. R. China 
Hits: 2691
Download times: 2072
      This paper deals with a heat system coupled via local and localized sources subject to null Dirichlet boundary conditions. Based on a complete classification for all the four nonlinear parameters, we establish multiple blow-up rates for the system under various dominations. We also determine uniform blow-up profiles for the three cases where localized source couplings dominate the system.
View Full Text  View/Add Comment  Download reader