| 王金环,洪亮.耦合热方程组解的多重 Blow-up 速率[J].数学研究及应用,2013,33(1):61~69 |
| 耦合热方程组解的多重 Blow-up 速率 |
| Multiple Blow-up Rates to a Coupling Heat System |
| 投稿时间：2011-09-11 修订日期：2011-10-31 |
| DOI：10.3770/j.issn:2095-2651.2013.01.007 |
| 中文关键词: |
| 英文关键词:coupled localized sources coupled local sources uniform blow-up profile blow-up rate. |
| 基金项目:国家自然科学基金(Grant No.11126128), 中国博士后科学基金(Grant No.20110490409), 辽宁省教育厅科技项目(Grant No.L2010146). |
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| 中文摘要: |
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| 英文摘要: |
| 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. |
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