半无穷柱体上Forchheimer方程组解的Phragmén-Lindelof型二择一结果  

Phragmen-Lindelof Type ResuIts for the Solutions of Forchheimer Equations on a Semi-Infinite Cylinder

作　　者：陈雪姣 李远飞 侯春娟 Chen Xuejiao;Li Yuanfei;Hou Chunjuan(Department of Apllied Mathematics,Guangzhou Huashang College,Guangdong 511300)

机构地区：[1]广州华商学院应用数学系,广州511300

出　　处：《数学物理学报（A辑）》2023年第2期505-514,共10页Acta Mathematica Scientia

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：考虑了定义在三维半无限柱体上多孔介质中的Forchheimer流体.建立了一个能量函数,推导了一个关于该能量函数的微分不等式,由此不等式得到了解的二择一结果.在衰减的情况下,通过设置一个大于零的参数,得到了解的快速衰减率.The Forchheimer fluid defined in porous media on a three-dimensional semi-infinite cylinder is considered.An energy function is established,and a differential inequality about the energy function is derived.From the inequality,an alternative result of the solutions is obtained.In the case of decay,the fast decay rate of the solutions is obtained by setting a positive parameter.

关 键 词：Forchheimer方程组 微分不等式 二择一 

分 类 号：O175.29[理学—数学]