On the local regularity theory for the magnetohydrodynamic equations

DOI10.25537/dm.2021v26.125-148zbMath1460.35278arXiv2002.02682MaRDI QIDQ2658554

Diego Chamorro, Jiao He, Oscar Jarrín, Fernando Cortez

Publication date: 23 March 2021

Published in: Documenta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.02682

zbMATH Keywords

MHD equationsparabolic Morrey spaceslocal regularity theory

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Weak solutions to PDEs (35D30) Harmonic analysis and PDEs (42B37)

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Cites Work

• Unnamed Item
• On the local well-posedness and a Prodi-Serrin-type regularity criterion of the three-dimensional MHD-Boussinesq system without thermal diffusion
• Morrey spaces in harmonic analysis
• On the interior regularity of weak solutions of the Navier-Stokes equations
• On partial regularity for the Navier-Stokes equations
• On the regularity criterion of weak solution for the 3D viscous magneto-hydrodynamics equations
• Besov spaces and Sobolev spaces on a nilpotent Lie group
• The role of the pressure in the partial regularity theory for weak solutions of the Navier-Stokes equations
• On interior regularity criteria for weak solutions of the Navier-Stokes equations
• Spatial decay bounds for time dependent magnetohydrodynamic geophysical flow
• Morrey space techniques applied to the interior regularity problem of the Navier-Stokes equations
• Ladyzhenskaya–Prodi–Serrin type regularity criteria for the 3D incompressible MHD equations in terms of 3 × 3 mixture matrices
• The Navier-Stokes Problem in the 21st Century
• On partial regularity results for the navier-stokes equations
• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
• Partial regularity of suitable weak solutions of the navier-stokes equations
• Conditions for the Local Boundedness of Solutions of the Navier–Stokes System in Three Dimensions

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