Acta mathematica scientia,Series A ›› 2023, Vol. 43 ›› Issue (2): 505-514.

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Phragmén-Lindelöf Type Results for the Solutions of Forchheimer Equations on a Semi-Infinite Cylinder

Chen Xuejiao(),Li Yuanfei(),Hou Chunjuan   

  1. Department of Apllied Mathematics, Guangzhou Huashang College, Guangdong 511300
  • Received:2021-09-10 Revised:2022-09-20 Online:2023-04-26 Published:2023-04-17
  • Supported by:
    Key Projects of Universities in Guangdong Province(2019KZDXM042);Research Team Project of Guangzhou Huashang College(2021HSKT01)

Abstract:

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.

Key words: Forchheimer matrixs, Differential inequality technique, Alternative

CLC Number: 

  • O175.29
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