A new boundary condition for the Hall-magnetohydrodynamics equations
- Title
- A new boundary condition for the Hall-magnetohydrodynamics equations
- Authors
- 한우진
- Date Issued
- 2020
- Publisher
- 포항공과대학교
- Abstract
- In this dissertation, we prove a regularity criteria and the local well-posedness of strong solutions to the magnetohydrodynamics with the Hall and ion-slip effects in a smooth bounded domain. Moreover, for the magnetohydrodynamics with the hall effect and without ion-slip effect case, we prove the global stability of strong large solutions. These results are obtained under an integrable property that depends on a new vorticity boundary condition which is motivated by the generalized Navier-slip boundary condition involving the vorticity.
- URI
- http://postech.dcollection.net/common/orgView/200000332871
https://oasis.postech.ac.kr/handle/2014.oak/112027
- Article Type
- Thesis
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