| Blow—up Estimtes for a Non—Newton Filtration Equation |
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| 引用本文： | YANG,Zuo－dong,LU,Qi－shao.Blow—up Estimtes for a Non—Newton Filtration Equation[J].河南师范大学学报(自然科学版),2001,29(3):123. |
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| 作者姓名： | YANG Zuo－dong LU Qi－shao |
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| 作者单位： | YANG Zuo-dong(College of Science,Beijing University of Aeronautics and Astronautics,；Editorial Department of Journal of Henan Normal University,453002);LU Qi-shao(Editorial Department of Journal of Henan Normal University,453002)
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| 基金项目： | 国家自然科学基金，教育部博士基金 |
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| 摘 要： | The purpose of this paper is to derive an upper bound for the rate of blow-up of solutions to the Non-Newton filtration
equation
where u ≥ 0,p ＞ 1. The blow up rate estimates of positive radial solutions were established by Weissler in I]for the (1)′ with
p=2. In this paper,we get same result for the (1) or (1)′ with p＞1. Then,it extent and complment result in 1].
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| 关 键 词： | 非牛顿型过滤方程 单项变换估计 变换率 径向正解 |
Blow-up Estimtes for a Non-Newton Filtration Equation |
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| YANG Zuo-dong,LU Qi-shao.Blow-up Estimtes for a Non-Newton Filtration Equation[J].Journal of Henan Normal University(Natural Science),2001,29(3):123. |
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| Authors: | YANG Zuo-dong LU Qi-shao |
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| Institution: | 1. College of Science,Beijing University of Aeronautics and Astronautics,；Editorial Department of Journal of Henan Normal University,453002
2. Editorial Department of Journal of Henan Normal University,453002 |
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| Abstract: | The purpose of this paper is to derive an upper bound for the rate of blow-up of solutions to the Non-Newton filtration equation where u ≥ 0,p ＞ 1. The blow up rate estimates of positive radial solutions were established by Weissler in I]for the (1)′ with p=2. In this paper,we get same result for the (1) or (1)′ with p＞1. Then,it extent and complment result in 1]. |
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