一类溶解度与温度相关的 Brinkman-Forchheimer 方程组解的连续依赖性

doi:10.13371/j.cnki.chin.q.j.m.2021.03.009

数学季刊 ›› 2021, Vol. 36 ›› Issue (3): 308-319.doi: 10.13371/j.cnki.chin.q.j.m.2021.03.009

一类溶解度与温度相关的 Brinkman-Forchheimer 方程组解的连续依赖性

1. School of Date Science, Guangzhou Huashang College, Guangzhou 511300, China; 2. Foundation Department, Guangdong AIB University, Guangzhou 510507, China

收稿日期:2021-03-02 出版日期:2021-09-30 发布日期:2021-10-08
作者简介:SHI Jin-cheng (1983-), male, native of Jiujiang, Jiangxi, lecturer of Guangzhou Huashang College, engages in partail differential equation; XIAO Sheng-zhong (1965-), male, native of Shaoyang, Hunan, professor of Guangdong AIB University, engages in differential equation.
基金资助:
Supported by National Natural Science Foundation of China (Grant No. 11971123).

Continuous Dependence for a Brinkman-Forchheimer Type Model with Temperature-Dependent Solubility

1. School of Date Science, Guangzhou Huashang College, Guangzhou 511300, China; 2. Foundation Department, Guangdong AIB University, Guangzhou 510507, China

Received:2021-03-02 Online:2021-09-30 Published:2021-10-08
About author:SHI Jin-cheng (1983-), male, native of Jiujiang, Jiangxi, lecturer of Guangzhou Huashang College, engages in partail differential equation; XIAO Sheng-zhong (1965-), male, native of Shaoyang, Hunan, professor of Guangdong AIB University, engages in differential equation.
Supported by:
Supported by National Natural Science Foundation of China (Grant No. 11971123).

摘要/Abstract

摘要： The structural stability for the Brinkman-Forchheimer equations with temperature-dependent solubility in a bounded region in R3 was studied. The reaction boundary conditions for the temperature T and the salt concentration were imposed.
With the aid of some useful a priori bounds, we were able to demonstrate the continuous dependence result for the Forchheimer coefficient λ.

关键词: Structural stability, Brinkman-Forchheimer equations, Temperature-dependent solubility, Continuous dependence, Robin boundary

Abstract: The structural stability for the Brinkman-Forchheimer equations with temperature-dependent solubility in a bounded region in R3 was studied. The reaction boundary conditions for the temperature T and the salt concentration were imposed.
With the aid of some useful a priori bounds, we were able to demonstrate the continuous dependence result for the Forchheimer coefficient λ.

Key words: Structural stability, Brinkman-Forchheimer equations, Temperature-dependent solubility, Continuous dependence, Robin boundary

中图分类号:

O175.4

石金诚, 肖胜中. 一类溶解度与温度相关的 Brinkman-Forchheimer 方程组解的连续依赖性[J]. 数学季刊, 2021, 36(3): 308-319.

SHI Jin-cheng , XIAO Sheng-zhong. Continuous Dependence for a Brinkman-Forchheimer Type Model with Temperature-Dependent Solubility[J]. Chinese Quarterly Journal of Mathematics, 2021, 36(3): 308-319.

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一类溶解度与温度相关的 Brinkman-Forchheimer 方程组解的连续依赖性

Continuous Dependence for a Brinkman-Forchheimer Type Model with Temperature-Dependent Solubility

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