A note on the regularity criterion for 3D MHD equations in \(\dot{B}_{\infty, \infty}^{- 1}\) space
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Publication:275178
DOI10.1016/j.amc.2014.03.095zbMath1334.35223OpenAlexW2095035031MaRDI QIDQ275178
Maria Alessandra Ragusa, Samia Benbernou, Mekki Terbeche, Zujin Zhang
Publication date: 25 April 2016
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2014.03.095
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05)
Related Items (5)
A regularity criterion for the 3D MHD equations in terms of the gradient of the pressure in the multiplier spaces ⋮ Regularity criteria for the 3D axisymmetric non-resistive MHD system in the swirl component of the vorticity ⋮ A regularity criterion for 3D micropolar fluid flows in terms of one partial derivative of the velocity ⋮ Fundamental Serrin type regularity criteria for 3D MHD fluid passing through the porous medium ⋮ Remark on an improved regularity criterion for the 3D MHD equations
Cites Work
- A remark on the blow-up criterion of strong solutions to the Navier-Stokes equations
- Regularity criteria for the solutions to the 3D MHD equations in the multiplier space
- On the regularity criterion of weak solution for the 3D viscous magneto-hydrodynamics equations
- On the regularity of weak solutions to the magnetohydrodynamic equations
- Existence theorem and blow-up criterion of the strong solutions to the two-fluid MHD equation in \(\mathbb R^{3}\)
- On the regularity criteria for the 3D magnetohydrodynamic equations via two components in terms of BMO space
- Some mathematical questions related to the mhd equations
- Some observations on Besov and Lizorkin-Triebel spaces.
- Interpolation inequalities in Besov spaces
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