Chinese Quarterly Journal of Mathematics ›› 2021, Vol. 36 ›› Issue (3): 308-319.doi: 10.13371/j.cnki.chin.q.j.m.2021.03.009

Previous Articles     Next Articles

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

  

  1. 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).

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

CLC Number: