| 一类具有非线性吸收项和边界流的抛物型方程组解的整体存在及爆破问题 |
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| 引用本文： | 薛应珍.一类具有非线性吸收项和边界流的抛物型方程组解的整体存在及爆破问题[J].纺织高校基础科学学报,2013(2):214-219. |
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| 作者姓名： | 薛应珍 |
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| 作者单位： | 西安外事学院商学院 |
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| 基金项目： | 陕西省教育科学规划课题(SGH12539);西安外事学院2011年高等教育改革项目(2011B10) |
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| 摘 要： | 研究了一类具有非线性吸收项和边界流的抛物型方程组解的整体存在及爆破问题．通过构造方程组的上、下解，得到了方程组解整体存在及解在有限时刻爆破的充分条件．对指数型和幂函数型混合的吸收项和边界流采用了常微分方法构造其上下解，而其他例如第一特征法运用于该方程就比较困难．
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| 关 键 词： | 反应扩散方程组 非线性吸收项和边界流 比较原理 整体解 爆破问题 |
Global existence and blow up problem for a parabolic equations with nonlinear absorption term and boundary flux |
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| XUE Ying-zhen.Global existence and blow up problem for a parabolic equations with nonlinear absorption term and boundary flux[J].Basic Sciences Journal of Textile Universities,2013(2):214-219. |
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| Authors: | XUE Ying-zhen |
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| Affiliation: | XUE Ying-zhen(College of Business,Xi′an International University,Xi′an 710077,China) |
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| Abstract: | The global existence and blow up problem for solutions of a parabolic equations with cross coupling nonlinear absorption term and boundary flux are studied. By using the method of upper-under solutions of the equations, two sufficient conditions for the global existence and blow up problem are obtained upper-lower solution of absorption term and boundary flux of exponential equation is constructed but other methods（for example the first eigenvalue） are more difficult to apply the equation. |
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| Keywords: | parabolic equations nonlinear absorption term and boundary flux comparison principle globalsolution~blow up problem |
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