Global well-posedness for two modified-Leray-α-MHD models with partial viscous terms
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Publication:3565031
DOI10.1002/mma.1198zbMath1189.35266OpenAlexW2004115709MaRDI QIDQ3565031
Publication date: 27 May 2010
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.1198
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
- Unnamed Item
- Global well-posedness of the three-dimensional viscous and inviscid simplified Bardina turbulence models
- Regularity criteria for the 3D MHD equations in terms of the pressure
- On critical cases of Sobolev's inequalities
- Compensated compactness and Hardy spaces
- On the regularity of weak solutions to the magnetohydrodynamic equations
- Some mathematical questions related to the mhd equations
- Analytical study of certain magnetohydrodynamic-α models
- Commutator estimates and the euler and navier-stokes equations
- Regularity Criteria for the Generalized MHD Equations
