Continuous dependence of solutions for the Brinkman equations in porous media

SHI Jincheng

doi:10.13471/j.cnki.acta.snus.2021A004

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Continuous dependence of solutions for the Brinkman equations in porous media

Research articles | 更新时间：2023-11-01

- Continuous dependence of solutions for the Brinkman equations in porous media
- Acta Scientiarum Naturalium Universitatis Sunyatseni Vol. 62, Issue 3, Pages: 161-168(2023)
- 作者机构：
  
  广州华商学院数据科学学院，广东广州 511300
- 作者简介：
- 基金信息：
- DOI：10.13471/j.cnki.acta.snus.2021A004
  CLC： O175.29
- Published：25 May 2023，
  
  Published Online：18 March 2023，
  
  Received：11 January 2021，
  
  Accepted：05 March 2021
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石金诚.多孔介质中Brinkman方程组解的连续依赖性[J].中山大学学报(自然科学版),2023,62(03):161-168.

SHI Jincheng.Continuous dependence of solutions for the Brinkman equations in porous media[J].Acta Scientiarum Naturalium Universitatis Sunyatseni,2023,62(03):161-168.
石金诚.多孔介质中Brinkman方程组解的连续依赖性[J].中山大学学报(自然科学版),2023,62(03):161-168. DOI： 10.13471/j.cnki.acta.snus.2021A004.

SHI Jincheng.Continuous dependence of solutions for the Brinkman equations in porous media[J].Acta Scientiarum Naturalium Universitatis Sunyatseni,2023,62(03):161-168. DOI： 10.13471/j.cnki.acta.snus.2021A004.

摘要

考虑了三维有界凸区域上带有Soret效应的Brinkman方程组的连续依赖性。利用微分不等式，得到解的相关估计，尤其是推导出了盐浓度的四阶范数估计。最终运用能量方法和先验估计，建立了方程组的解对Brinkman系数

https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=49418949&type=

https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=49418943&type=

2.28600001

2.62466669

的连续依赖性。

Abstract

The continuous dependence of Brinkman equations with Soret effect on a three-dimensional bounded convex domain is considered. By using differential inequality， the correlation estimates of the solution is obtained， especially the fourth-order norm estimation of salt concentration is derived. Finally， using the energy method and the prior estimation， the continuous dependence of the solution of the equations on Brinkman coefficient

https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=49418987&type=

https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=49418975&type=

2.28600001

2.62466669

is established.

关键词

Brinkman方程组连续依赖性Brinkman系数Soret系数

Keywords

Brinkman equationscontinuous dependenceBrinkman coefficientSoret coefficient

references

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李远飞， 2019b.原始方程组对黏性系数的连续依赖性［J］. 山东大学学报（理学版），54（12）： 12-23.

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李远飞， 2020.海洋动力学中二维黏性原始方程组解对热源的收敛性［J］. 应用数学和力学， 41（3）： 339-352.

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LIU Y， XIAO S Z， LIN Y W， 2018b. Continuous dependence for the Brinkman-Forchheimer fluid interfacing with a Darcy fluid in a bounded domain［J］. Math Comput Simul， 150： 66-82.

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STRAUGHAN B， HUTTER K， 1999. A priori bounds and structural stability for double diffusive convection incorporating the Soret effect［J］. Proc R Soc Lond A， 455（1983）：767-777.

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