二维半无穷管道上Darcy流体方程解的空间渐近性质  

Spatial Asymptotic Properties of Solutions of Darcy Fluid Equation on Two-Dimensional Semi-infinite Pipe

作　　者：李远飞 石金诚 李丹丹 LI Yuanfei;SHI Jincheng;LI Dandan(Department of Applied Mathematics,Guangzhou Huashang College,Guangzhou 511300,China)

机构地区：[1]广州华商学院应用数学系,广东广州511300

出　　处：《应用数学》2023年第2期409-418,共10页Mathematica Applicata

基　　金：广东省普通高校重点项目(自然科学)(2019KZDXM042);广州华商学院科研团队项目(2021HSKT01)。

摘　　要：本文考虑多孔介质中Darcy流体方程在二维半无穷管道上的空间渐近性质.运用能量分析的办法和微分不等式技术,得到了一个关于“能量函数”的微分不等式,再解此微分不等式建立了解的Phragmen-Lindelof型二择一结果.最后,在衰减的情形下我们得到了全能量的上界.另外,本文对解的增长率/衰减率做了探讨.The spatial asymptotic properties of Darcy fluid equation in porous media on two-dimensional semi-infinite pipe is considered.By using the method of energy analysis and differential inequality technology,a differential inequality about"energy function"is obtained,and then the differ-ential inequality is solved to establish the alternative result of Phragmén-Lindelöf type.Finally,in the case of decay,we obtain the upper bound of the total energy.In addition,the growth rate/decay rate of the solution is discussed.

关 键 词：Darcy流体方程 管道流 微分不等式技术 Phragmen-Lindelof型二择一 

分 类 号：O175.29[理学—数学]