Phragmén-LindelöfAlternative Result of the Forchheimer Equations  

Forchheimer方程组的Phragmén-Lindelöf二择一结果

作　　者：CHEN Xue-jiao LI Yuan-fei 陈雪姣;李远飞(Department of Apllied Mathematics,Guangzhou Huashang College,Guangzhou 511300,China)

机构地区：[1]Department of Apllied Mathematics,Guangzhou Huashang College,Guangzhou 511300,China

出　　处：《Chinese Quarterly Journal of Mathematics》2021年第4期395-404,共10页数学季刊（英文版）

基　　金：Supported by Innovation Team Project of Humanities and Social Sciences in Colleges and Universities of Guangdong Province(Grant No.2020WCXTd008);Research Team Project of Guangzhou Huashang College(Grant No.2021HSKT01).

摘　　要：This paper investigates the spatial behavior of the solutions of the Forchheimer equations in a semi-infinite cylinder.Using the energy estimation method and the differential inequality technology,the differential inequality about the solution is derived.By solving this differential inequality,it is proved that the solutions grow polynomially or decay exponentially with spatial variables.

关 键 词：Phragmén-Lindelöfof alternative result The differential inequality technology Forchheimer equations 

分 类 号：O175.29[理学—数学]