| 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.
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| 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 Name | Affiliation | | 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 |
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| Abstract: |
| 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. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2013.01.007 |
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