On regularity criteria in terms of pressure for the 3D viscous MHD equations
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Publication:2903160
DOI10.1080/00036811.2011.556626zbMath1247.35101OpenAlexW2060828668MaRDI QIDQ2903160
Publication date: 23 August 2012
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00036811.2011.556626
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05)
Related Items (27)
Regularity criteria of axisymmetric weak solutions to the 3D magnetohydrodynamic equations ⋮ On regularity criteria via pressure for the 3D MHD equations in a half space ⋮ A note on blow-up criterion of the 3d magnetic Bénard equations ⋮ A regularity criterion in terms of pressure for the 3D viscous MHD equations ⋮ A regularity criterion for the 3D MHD equations in terms of the gradient of the pressure in the multiplier spaces ⋮ A new class of regularity criteria for the MHD and Navier-Stokes equations ⋮ A logarithmic improvement of regularity criterion for the MHD equations in terms of the pressure ⋮ Determining modes and determining nodes for the 3D non-autonomous regularized magnetohydrodynamics equations ⋮ Some blow-up criteria in terms of pressure for the 3D viscous MHD equations ⋮ Unnamed Item ⋮ A note on regularity criteria in terms of pressure for the 3D viscous MHD equations ⋮ Interior condition on suitable weak solutions to the 3D MHD equations via pressure ⋮ Remarks on the regularity criteria for the 3D MHD equations in the multiplier spaces ⋮ Regularity criteria for the 3D MHD equations involving one current density and the gradient of one velocity component ⋮ A regularity criterion for the three-dimensional MHD equations in terms of one directional derivative of the pressure ⋮ Remarks on the blow-up criterion for the MHD system involving horizontal components or their horizontal gradients ⋮ On the role of pressure in the theory of MHD equations ⋮ A double-logarithmically improved regularity criterion of weak solutions for the 3D MHD equations ⋮ An improved regularity criteria for the MHD system based on two components of the solution. ⋮ Regularity criteria for the 3D MHD equations via partial derivatives. II ⋮ Regularity criterion for 3D MHD fluid passing through the porous medium in terms of gradient pressure ⋮ New regularity criteria for weak solutions to the MHD equations in terms of an associated pressure ⋮ A new regularity criterion for the 3D incompressible MHD equations via partial derivatives ⋮ A logarithmically improved regularity criterion for the 3D MHD equations in Morrey-Campanato space ⋮ Fundamental Serrin type regularity criteria for 3D MHD fluid passing through the porous medium ⋮ An improved pressure regularity criterion of magnetohydrodynamic equations in critical Besov spaces ⋮ Remarks on the global regularity criteria for the 3D MHD equations via two components
Cites Work
- Remarks on regularities for the 3D MHD equations
- The Beale-Kato-Majda criterion for the 3D magneto-hydrodynamics equations
- A new regularity criterion for weak solutions to the viscous MHD equations in terms of the vorticity field
- Regularity criteria for the solutions to the 3D MHD equations in the multiplier space
- 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
- On a regularity criterion in terms of the gradient of pressure for the Navier-Stokes equations in \(\mathbb R^N\)
- On a Serrin-type regularity criterion for the Navier-Stokes equations in terms of the pressure
- Some mathematical questions related to the mhd equations
- Remark on the regularity for weak solutions to the magnetohydrodynamic equations
- Regularity Criteria for the Generalized MHD Equations
- On regularity criteria in terms of pressure for the Navier-Stokes equations in ℝ³
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