| 一类半线性抛物型方程组解的爆破速率估计 |
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| 引用本文： | 安晓伟.一类半线性抛物型方程组解的爆破速率估计[J].中国人民武装警察部队学院学报,2009,25(12):88-89. |
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| 作者姓名： | 安晓伟 |
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| 作者单位： | 武警学院基础部,河北廊坊065000 |
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| 摘 要： | 研究了一类具有不同类型反应项的半非线性抛物型方程组初边值问题,这类模型主要描述两种物质燃烧过程中的热传递规律。通过运用古典计算技巧和偏微分方程的定性分析手法,得到了这类半非线性抛物型方程组初边值问题解的爆破速率估计。
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| 关 键 词： | 半线性抛物型方程组 非线性反应 有限时刻爆破 爆破速率。 |
Blow-up Rate Estimates for the Solutions of a Semilinear Parabolic System |
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| Institution: | AN Xiao - wei ( Basic Courses Teaching Department, The Armed Police Academy, Langfang, Hebei Province 065000, China) |
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| Abstract: | This paper deals with an initial-boundary value problem of a semilinear parabolic system of two equations with different type of reactions,which models the rules on thermal transmission in the course of combustion of two materials.Using the technique of classical computations and the method of quality analysis on partial differential equations,we obtain the estimates for blowup rate of the solution to the initial-boundary value problem. |
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| Keywords: | semilinear parabolic system nonlinear reaction finite time blow-up blow-up rate |
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