Forchheimer 方程组的 Phragmén-Lindelöf 二择一结果

doi:10.13371/j.cnki.chin.q.j.m.2021.04.006

数学季刊 ›› 2021, Vol. 36 ›› Issue (4): 395-404.doi: 10.13371/j.cnki.chin.q.j.m.2021.04.006

Forchheimer 方程组的 Phragmén-Lindelöf 二择一结果

Department of Apllied Mathematics, Guangzhou Huashang College

收稿日期:2021-08-25 出版日期:2021-12-30 发布日期:2021-12-30
作者简介:CHEN Xue-Jiao (1984-), female, native of Guangzhou, Guangdong, lecturer of Guangzhou Huashang College, engages in partial differential equation; LI Yuan-fei (1982-), male, native of Guangzhou, Guangdong, distinguished professor of Guangzhou Huashang College, engages in partial differential equation.
基金资助:
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).

Phragmén-Lindelöf Alternative Result of the Forchheimer Equations

Department of Apllied Mathematics, Guangzhou Huashang College

Received:2021-08-25 Online:2021-12-30 Published:2021-12-30
About author:CHEN Xue-Jiao (1984-), female, native of Guangzhou, Guangdong, lecturer of Guangzhou Huashang College, engages in partial differential equation; LI Yuan-fei (1982-), male, native of Guangzhou, Guangdong, distinguished professor of Guangzhou Huashang College, engages in partial differential equation.
Supported by:
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/Abstract

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-Lindel\"{o}f alternative result, The differential inequality technology, Forchheimer equations

Abstract: 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.

Key words: Phragmén-Lindel\"{o}f alternative result, The differential inequality technology, Forchheimer equations

中图分类号:

O175.29

陈雪姣, 李远飞. Forchheimer 方程组的 Phragmén-Lindelöf 二择一结果[J]. 数学季刊, 2021, 36(4): 395-404.

CHEN Xue-jiao, LI Yuan-fei. Phragmén-Lindelöf Alternative Result of the Forchheimer Equations [J]. Chinese Quarterly Journal of Mathematics, 2021, 36(4): 395-404.

Forchheimer 方程组的 Phragmén-Lindelöf 二择一结果

Phragmén-Lindelöf Alternative Result of the Forchheimer Equations

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