On the interior regularity criterion for suitable weak solutions to the 3d magneto-hydrodynamics equations in terms of the velocity gradient

DOI10.1512/iumj.2023.72.9600zbMath1530.35224OpenAlexW4390075247MaRDI QIDQ6145955

No author found.

Publication date: 10 January 2024

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1512/iumj.2023.72.9600

zbMATH Keywords

suitable weak solutionsmagneto-hydrodynamics equationsinterior regularity criterion

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Magnetohydrodynamics and electrohydrodynamics (76W05) Weak solutions to PDEs (35D30)

Cites Work

• Refined regularity class of suitable weak solutions to the 3D magnetohydrodynamics equations with an application
• Remarks on regularities for the 3D MHD equations
• A new local regularity criterion for suitable weak solutions of the Navier-Stokes equations in terms of the velocity gradient
• The Beale-Kato-Majda criterion for the 3D magneto-hydrodynamics equations
• Two regularity criteria for the 3D MHD equations
• Interior regularity criteria for suitable weak solutions of the magnetohydrodynamic equations
• Partial regularity of solutions to the Navier-Stokes equations
• Hausdorff measure and the Navier-Stokes equations
• Gradient estimation on Navier-Stokes equations
• Regularity results for weak solutions of the 3D MHD equations.
• On the singular set in the Navier-Stokes equations
• Bounds and new approaches for the 3D MHD equations
• On partial regularity of suitable weak solutions to the three-dimensional Navier-Stokes equations
• A regularity criterion at one scale without pressure for suitable weak solutions to the Navier-Stokes equations
• On the regularity criteria for weak solutions to the magnetohydrodynamic equations
• Interior regularity criteria for suitable weak solutions of the Navier-Stokes equations
• \(L^p\)-theory for Stokes and Navier-Stokes equations with Navier boundary condition
• On the regularity of weak solutions to the magnetohydrodynamic equations
• Inéquations en thermoélasticité et magnétohydrodynamique
• Partial regularity of suitable weak solutions to the incompressible magnetohydrodynamic equa\-tions
• On the Interior Regularity Criteria for Suitable Weak Solutions of the Magnetohydrodynamics Equations
• Some mathematical questions related to the mhd equations
• Local regularity for suitable weak solutions of the Navier-Stokes equations
• A new proof of the Caffarelli-Kohn-Nirenberg theorem
• A New Criterion for Partial Regularity of Suitable Weak Solutions to the Navier-Stokes Equations
• Partial regularity of suitable weak solutions of the navier-stokes equations

This page was built for publication: On the interior regularity criterion for suitable weak solutions to the 3d magneto-hydrodynamics equations in terms of the velocity gradient