Email this article A note on regularity criteria in terms of pressure for the 3D viscous MHD equations
- Authors: Gala S.1,2, Ragusa M.A.2
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Affiliations:
- Université Abdelhamid Ibn Badis de Mostaganem
- Università degli Studi di Catania
- Issue: Vol 102, No 3-4 (2017)
- Pages: 475-479
- Section: Article
- URL: https://journal-vniispk.ru/0001-4346/article/view/150143
- DOI: https://doi.org/10.1134/S000143461709019X
- ID: 150143
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Abstract
This note is devoted to the study of the smoothness of weak solutions to the Cauchy problem for three-dimensional magneto-hydrodynamic system in terms of the pressure. It is proved that if the pressure π belongs to L2(0, T, Ḃ∞,∞−1(ℝ3)) or the gradient field of pressure ∇π belongs to L2/3(0, T, BMO(ℝ3)), then the corresponding weak solution (u, b) remains smooth on [0, T].
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About the authors
S. Gala
Université Abdelhamid Ibn Badis de Mostaganem; Università degli Studi di Catania
Author for correspondence.
Email: sadek.gala@gmail.com
Algeria, Mostaganem; Catania
M. A. Ragusa
Università degli Studi di Catania
Email: sadek.gala@gmail.com
Italy, Catania
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