| 具有吸收和非线性边界流的非线性扩散方程的爆破估计 |
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| 引用本文： | 姜朝欣,郑斯宁.具有吸收和非线性边界流的非线性扩散方程的爆破估计[J].数学进展,2004,33(5):615-620. |
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| 作者姓名： | 姜朝欣 郑斯宁 |
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| 作者单位： | 大连理工大学应用数学系,大连,辽宁,116024 |
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| 基金项目： | Supported by National Natural Science Foundation of China(No. 19871008). |
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| 摘 要： | 本文研究一类具有非线性吸收和非线性边界流的非线性扩散方程，建立了解的爆破速率估计，所得结果依赖于模型中三种非线性机制之间的相互作用。
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| 关 键 词： | 非线性扩散 非线性吸收 非线性边界流 爆破速率 |
Blow-up Rate for a Nonlinear Diffusion Equation With Absorption and Nonlinear Boundary Flux |
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| Abstract.Blow-up Rate for a Nonlinear Diffusion Equation With Absorption and Nonlinear Boundary Flux[J].Advances in Mathematics,2004,33(5):615-620. |
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| Authors: | Abstract |
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| Abstract: | In this paper, the blow-up rate is determined for a nonlinear diffusion equation with nonlinear absorption and nonlinear boundary flux. The results obtained here depend on the interaction among the three nonlinear mechanisms in the system. |
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| Keywords: | nonlinear diffusion nonlinear absorption nonlinear boundary flux blow-up rate |
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