A new regularity criterion for weak solutions to the viscous MHD equations in terms of the vorticity field
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Publication:960889
DOI10.1016/j.na.2009.12.045zbMath1185.35204OpenAlexW1998950852MaRDI QIDQ960889
Publication date: 29 March 2010
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2009.12.045
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)
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Cites Work
- Remarks on regularities for the 3D MHD equations
- BMO and the regularity criterion for weak solutions to the magnetohydrodynamic equations
- The Navier-Stokes equations in the critical Morrey-Campanato space
- 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
- Regularity criteria for the 3D MHD equations in terms of the pressure
- Regularity criteria for the generalized viscous MHD equations
- On the regularity of weak solutions to the magnetohydrodynamic equations
- Some mathematical questions related to the mhd equations
- Analysis on Morrey Spaces and Applications to Navier-Stokes and Other Evolution Equations
- Interpolation inequalities in Besov spaces
- Strong solutions of the Navier-Stokes equation in Morrey spaces
- Regularity Criteria for the Generalized MHD Equations
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