数学季刊 >

2021 , Vol. 36 >Issue 3: 308 - 319

DOI: https://doi.org/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

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

收稿日期: 2021-03-02

  网络出版日期: 2021-04-30

基金资助

Supported by National Natural Science Foundation of China (Grant No. 11971123).

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

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

Received date: 2021-03-02

  Online published: 2021-04-30

Supported by

Supported by National Natural Science Foundation of China (Grant No. 11971123).

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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

本文引用格式

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

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

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