| 拟线性抛物方程组解的非同时淬灭 |
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| 引用本文： | 黄学东.拟线性抛物方程组解的非同时淬灭[J].东莞理工学院学报,2010,17(3):6-9. |
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| 作者姓名： | 黄学东 |
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| 作者单位： | 重庆大学,数理学院,重庆,400044 |
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| 摘 要： | 讨论了具有耦合非线性吸收项的拟线性抛物方程组解的淬灭。首先给出了方程组的解在有限时刻淬灭的充分条件。然后在一定条件下区分了方程组的解是否发生非同时淬灭。最后估计了方程组解的淬灭速率。
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| 关 键 词： | 抛物方程组 淬灭 非同时淬灭 |
The Non-simultaneous Quenching for Quasilinear Parabolic System |
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| HUANG Xue-dong.The Non-simultaneous Quenching for Quasilinear Parabolic System[J].Journal of Dongguan Institute of Technology,2010,17(3):6-9. |
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| Authors: | HUANG Xue-dong |
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| Institution: | HUANG Xue-dong (College of Mathematics , Physics,Chongqing University,Chongqing 400044,China) |
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| Abstract: | This paper deals with the quenching phenomenon for a quasilinear parabolic equations with coupled nonlinear absorptions.The sufficient conditions for finite-time quenching is obtained firstly.Under some appropriate hypothesis,a distinction of the solution to equations is made under the conditon of whether non-simutaneous quenching occurs.Finally,quenching rate of equations is estimated. |
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| Keywords: | quasilinear parabolic system quenching non-simultaneous quenching |
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