| 具有非线性边界条件的拟线性抛物型方程爆破解 |
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| 引用本文： | 查中伟. 具有非线性边界条件的拟线性抛物型方程爆破解[J]. 重庆三峡学院学报, 2006, 22(3): 42-47 |
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| 作者姓名： | 查中伟 |
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| 作者单位： | 重庆三峡学院,重庆,万州,404000 |
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| 摘 要： | 本文讨论描述流体在稀疏介质中流动规律的一类拟线性抛物型方程具有第三类非线性边界条件的初边值问题.利用抛物型方程的最大值原理和凸性方法,得到了该问题的解在有限时间内发生爆破现象的充分条件。
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| 关 键 词： | 拟线性抛物型方程 初边值问题 解的爆破 |
| 文章编号： | 1009-8135（2006）03-0042-06 |
| 收稿时间： | 2005-12-08 |
| 修稿时间： | 2005-12-08 |
Blowing up Solution for Quasi Linear Parabolic Equations with Nonlinear Boundary Condition |
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| ZHA Zhong-wei. Blowing up Solution for Quasi Linear Parabolic Equations with Nonlinear Boundary Condition[J]. JOurnal of Chongqing Three Gorges University, 2006, 22(3): 42-47 |
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| Authors: | ZHA Zhong-wei |
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| Abstract: | This dissertation is to discuss the laws of fluids in porous medium for original boundary value problem of some quasi-linear parabolic equations with the third type nonlinear boundary condition. To apply the maximum value theory and convex method, get the full condition for solution of the problem occurs blowing up behavior in the definite time. |
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| Keywords: | Quasi Linear Parabolic Equation Initial-boundary Value Problem Blowing up of Solution |
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