- Title
- Logarithmically improved regularity criterion for the 3D Hall-MHD equations
- Creator
- Gala, Sadek; Théra, Michel
- Date
- 2021
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/179712
- Identifier
- vital:15651
- Identifier
-
https://doi.org/10.1007/s40314-021-01585-5
- Identifier
- ISBN:2238-3603 (ISSN)
- Abstract
- In this work, we study the blow-up criterion of the smooth solutions of three-dimensional incompressible Hall-magnetohydrohynamics equations (in short, Hall-MHD). We obtain a logarithmically improved regularity criterion of smooth solutions in terms of the B˙∞,∞0 norm. We improve the blow-up criterion for smooth solutions established in Ye (Appl Anal 96:2669–2683, 2016). © 2021, SBMAC - Sociedade Brasileira de Matemática Aplicada e Computacional.
- Publisher
- Springer Science and Business Media Deutschland GmbH
- Relation
- Computational and Applied Mathematics Vol. 40, no. 7 (2021), p.
- Rights
- All metadata describing materials held in, or linked to, the repository is freely available under a CC0 licence
- Rights
- Copyright © SBMAC - Sociedade Brasileira de Matemática Aplicada e Computacional 2021
- Rights
- Open Access
- Subject
- 0102 Applied Mathematics; 0103 Numerical and Computational Mathematics; Besov space; Blow up criterion; Hall-magnetohydrodynamic equations; Smooth solutions
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