| 耦合边界下非线性抛物方程组解的熄灭 |
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| 引用本文： | 张为元,李俊林.耦合边界下非线性抛物方程组解的熄灭[J].纺织高校基础科学学报,2010,23(3):279-281. |
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| 作者姓名： | 张为元 李俊林 |
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| 作者单位： | 1. 咸阳师范学院,数学系,陕西,咸阳,712000
2. 太原科技大学,应用数学研究所,山西,太原,030024 |
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| 基金项目： | 山西省自然科学基金资助项目，咸阳师范学院科研项目 |
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| 摘 要： | 探讨非线性抛物型方程组在非线性流量边界条件下的初边值问题.利用上下解方法和杨格不等式,证明了x=1是方程组的惟一熄灭点,给出了解在有限时间熄灭的充分条件.在一定条件下,得到了解的熄灭速率.
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| 关 键 词： | 抛物型方程组 熄灭 惟一熄灭点 熄灭速率 |
Quenching of solutions for the nonlinear parabolic system coupled at the boundary |
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| ZHANG Wei-yuan,LI Jun-lin.Quenching of solutions for the nonlinear parabolic system coupled at the boundary[J].Basic Sciences Journal of Textile Universities,2010,23(3):279-281. |
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| Authors: | ZHANG Wei-yuan LI Jun-lin |
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| Affiliation: | ZHANG Wei-yuan1,LI Jun-lin2 (1.Department of Mathematics,Xianyang Normal University,Xianyang,Shaanxi 712000,China,2.Institute of Applied Math.,Taiyuan University of Science and Technology,Taiyuan 030024,China) |
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| Abstract: | The initial boundary value problem of nonlinear parabolic system coupled at the boundary through a nonlinear flux is considered.Upper and lower solutions technique and Young inequality were used,the only quenching point is the origin x=1 was obtained.Sufficient conditions about the quenching of solutions are given.The quenching rates under some assumptions are obtained. |
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| Keywords: | parabolic system quenching only quenching point quenching rate |
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