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On a Single-Component Regularity Criterion for the Non-resistive Axially Symmetric Hall-MHD System.
- Source :
-
Acta Applicandae Mathematicae . Oct2022, Vol. 181 Issue 1, p1-17. 17p. - Publication Year :
- 2022
-
Abstract
- A one-component regularity criterion for the non-resistive axially symmetric Hall-MHD system is given in this paper. More precisely, we show that strong solutions to a family of axially symmetric initial data, whose velocity and current density have trivial swirl components, could be smoothly extended beyond a possible blow-up time T ∗ if and only if the swirl component of the magnetic field h θ satisfies a Beale-Kato-Majda-type criterion. See (1.5) below. This criterion is not trivial even if the velocity field vanishes since the quantity h θ r satisfies a partial Burgers' equation in this situation. [ABSTRACT FROM AUTHOR]
- Subjects :
- *MAGNETOHYDRODYNAMICS
*MAGNETIC fields
*BURGERS' equation
Subjects
Details
- Language :
- English
- ISSN :
- 01678019
- Volume :
- 181
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Acta Applicandae Mathematicae
- Publication Type :
- Academic Journal
- Accession number :
- 158547308
- Full Text :
- https://doi.org/10.1007/s10440-022-00519-5