Structural stability for the Darcy model in double diffusive convection flow with Magnetic field effect

AIMS Mathematics

article

Zhanwei Guo¹  Jincheng Shi² 

[1] Basic Teaching Department;Department of Data Science, Guangzhou Huashang College

关键词: continuous dependence;    a priori bounds;    Darcy flow;    double diffusive;   

DOI  :  10.3934/math.2022894

学科分类：地球科学(综合)

来源: AIMS Press

【 摘 要 】

In this paper, we consider the Darcy model with magnetic field affect which is used to describe the double diffusive flow of a fluid containing a solute. Using the energy estimate methods, we derive the prior bounds of the solutions. By using these a prior bounds, the continuous dependence of the solutions to Darcy model on the magnetic coefficient and the boundary parameter is established.

【 授权许可】

CC BY