Institute of Mathematics
State Academy of Sciences, Pyongyang
Democratic People's Republic of Korea
email: hhhong@star-co.net.kp
Hakho Hong
Abstract:
In this article, we consider a model coupled with the Brinkman
heat-convective and concentration-diffusive equations for a mixed gas
flow in a porous media. The specificity of this model lies in the
presence of a volumetric mass source depending on temperature and
concentration in mass balance equation. We will prove the
existence and uniqueness of the smooth local solutions for the
3-D Cauchy problem. As a byproduct, we show the convergence of the
approximate solutions based on an iteration scheme.
Submitted September 30, 2024. Published March 3, 2025.
Math Subject Classifications: 35B40, 35B65, 35L65, 76N05, 76N10, 76T10.
Key Words: Brinkman equation; heat-convective equation; mixed model;
concentration-diffusive equation; existence; uniqueness; iteration scheme.
DOI: 10.58997/ejde.2025.23
Show me the PDF file (387 KB), TEX file for this article.
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Hakho Hong Institute of Mathematics State Academy of Sciences, Pyongyang Democratic People's Republic of Korea email: hhhong@star-co.net.kp |
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