Local Well-Posedness and Blow-Up for the Solutions to the Axisymmetric Inviscid Hall-MHD Equationsopen access
- Authors
- Jeong, Eunji; Kim, Junha; Lee, Jihoon
- Issue Date
- 2018
- Publisher
- HINDAWI LTD
- Citation
- ADVANCES IN MATHEMATICAL PHYSICS, v.2018
- Journal Title
- ADVANCES IN MATHEMATICAL PHYSICS
- Volume
- 2018
- URI
- https://scholarworks.bwise.kr/cau/handle/2019.sw.cau/1571
- DOI
- 10.1155/2018/5343824
- ISSN
- 1687-9120
1687-9139
- Abstract
- In this paper, we consider the regularity problem of the solutions to the axisymmetric, inviscid, and incompressible Hall-magnetohydrodynamics (Hall-MHD) equations. First, we obtain the local-in-time existence of sufficiently regular solutions to the axisymmetric inviscid Hall-MHD equations without resistivity. Second, we consider the inviscid axisymmetric Hall equations without fluids and prove that there exists a finite time blow-up of a classical solution due to the Hall term. Finally, we obtain some blow-up criteria for the axisymmetric resistive and inviscid Hall-MHD equations.
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Collections - College of Natural Sciences > Department of Mathematics > 1. Journal Articles
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