| 不可压渗流方程解的衰减估计 |
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| 引用本文： | 阎小丽,邓慧琳.不可压渗流方程解的衰减估计[J].郑州大学学报(自然科学版),2011(1):11-15. |
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| 作者姓名： | 阎小丽 邓慧琳 |
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| 作者单位： | [1]河南理工大学数信学院,河南焦作454003 [2]六盘水师范学院数学系,贵州六盘水553004 |
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| 基金项目： | 河南省杰出青年科学基金资助项目 编号104100510015; 河南省高校科技创新人才支持计划项目 编号2009HASTIT007; 河南理工大学研究生学位论文创新基金资助项目 |
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| 摘 要： | 主要在三维空间中,利用半群算子e-t（-Δ）α和L2模的性质,讨论由达西法则建立的不可压渗流方程解的衰减速率.通过不完全采用傅里叶分析的方法和‖▽T（t）‖L2的粗略估计,在L2（R3）空间中得到方程较好的衰减估计.
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| 关 键 词： | 不可压渗流方程 半群算子e-t（-Δ）α 衰减估计 |
The Decay Rate of Solution to Incompressible Porous Medium Equations |
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| YAN Xiao-li,DENG Hui-lin.The Decay Rate of Solution to Incompressible Porous Medium Equations[J].Journal of Zhengzhou University (Natural Science),2011(1):11-15. |
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| Authors: | YAN Xiao-li DENG Hui-lin |
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| Institution: | 1.Department of Mathematics and Information Science,Henan Polytechnic University,Jiaozuo 454003,China;2.School of Mathematics,Liupanshui Normal College,Liupanshui 553004,China) |
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| Abstract: | A decay rate of the solution was derived to the incompressible porous medium equations governed by Darcy＇s law,with the property of the semigroup operator e-t（-Δ）α and L2-norms.A new concise method was established to get the better decay rate in L2（R3）,which avoided using the Fourier splitting technique completely and a rough decay estimates of ‖▽T（t）‖L2. |
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| Keywords: | incompressible porous medium equations operator semigroup e-t（-Δ）α decay estimates |
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