Grant GC22-08633J
1.1.2022 - 31.12.2024
Grantor: Czech Science Foundation/National Research Foundation Korea
Qualitative Theory of the MHD and Related Equations
Objectives:
The project is oriented to studies of a wide class of equations of magneto-hydro-dynamics (MHD), modeling flows of electrically conductive fluids (both incompressible and compressible, without or with Hall's effect). The presence of magnetic field evokes many new challenging questions. In addition to existing mathematical models, our aims include formulation and studies of new models, which e.g. concern (a) physically and mathematically relevant boundary conditions for the magnetic field, (b) micropolar fluids and (c) motion of a body with a cavity filled in by an electrically conductive fluid. Considered mathematical problems involve questions of regularity, analysis and consistent theory for the models from items (a)-(c), problems with artificial "outflow"' boundary conditions and problems in domains with moving boundaries. Our project assumes a close cooperation with colleagues from the Yonsei University in Seoul and other respected researchers and active participation of post-docs and doctoral students on both sides.
Main investigator:
IM team members:
|
Bhandari Kuntal Kračmar Stanislav Nečasová árka |
Perisetti Lakshmi Naga Mahendranath Scherz Jan |
Participating institutions:
Institute of Mathematics, Czech Academy of Sciences
Yonsei University in Seoul, Republic of Korea
