Institute of Mathematics
State Academy of Sciences
Pyongyang, DPR Korea
email: math.tujin@star-co.net.kp
Tujin Kim
Abstract:
This article concerns the non-steady magneto-hydro-dynamics (MHD) heat system with
Joule and buoyancy effects under mixed boundary conditions.
The boundary conditions for fluids can include the stick, total pressure,
vorticity, total stress conditions, and for a magnetic field
with non-homogeneous mixed boundary conditions.
The boundary condition for temperature may
include Dirichlet, Neumann and Robin conditions.
We prove that if the parameter for buoyancy effect is small in accordance with
the data of problem, then there exists a solution with "defect measure" for
temperature.
Submitted March 18, 2025. Published December 22, 2025.
Math Subject Classifications: 35Q60, 76D03, 76W05, 85A30.
Key Words: Non-stead MHD-heat system; Joule heating; buoyancy; mixed boundary conditions;
existence of a solution.
DOI: 10.58997/ejde.2025.119
Show me the PDF file (523 KB), TEX file for this article.
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Tujin Kim Institute of Mathematics State Academy of Sciences Pyongyang, DPR Korea email: math.tujin@star-co.net.kp |
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