| 一类具有扰动项的非牛顿流方程解的爆破性 |
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| 引用本文： | 王长佳.一类具有扰动项的非牛顿流方程解的爆破性[J].吉林大学学报(理学版),2013,51(3):419-422. |
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| 作者姓名： | 王长佳 |
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| 作者单位： | 长春理工大学 理学院, 长春 130022 |
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| 基金项目： | 国家自然科学基金(批准号:10971080) |
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| 摘 要： | 考虑一类具有扰动项的非牛顿流模型初边值问题解的爆破性, 利用能量估计方法, 在非线性指数q的不同取值范围下, 通过构造与分析不同微分不等式证明了问题的解必在有限时刻发生爆破.
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| 关 键 词： | 爆破 非牛顿流 扰动 |
| 收稿时间： | 2012-09-07 |
Blow up of Solutions to a Class of Non NewtonianFluid Equations with Damping Term |
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| WANG Chang-jia.Blow up of Solutions to a Class of Non NewtonianFluid Equations with Damping Term[J].Journal of Jilin University: Sci Ed,2013,51(3):419-422. |
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| Authors: | WANG Chang-jia |
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| Affiliation: | School of Science, Changchun University of Science and Technology, Changchun 130022, China |
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| Abstract: | We studied the blow up property of solutions to a class of non Newtonian fluid equations JP2]with damping term. Using energy method and constructing and analyzing different types of differentialJP] inequality according to the different ranges of nonlinear index q, we proved that the solution of the problem will blow up in finite time. |
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| Keywords: | blow up non Newtonian fluid damping |
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