A new regularity criterion for the 2D non-resistive incompressible MHD equations

DOI10.1016/J.JDE.2024.05.030zbMATH Open1545.35132MaRDI QIDQ6584940

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Publication date: 8 August 2024

Published in: Journal of Differential Equations (Search for Journal in Brave)

zbMATH Keywords

regularity criterionMHD equations

Mathematics Subject Classification ID

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)

Cites Work

• A regularity criterion for the 2D MHD system with zero magnetic diffusivity
• A logarithmic regularity criterion for the two-dimensional MHD equations
• Regularity criteria for the magnetohydrodynamic equations with partial viscous terms and the Leray-\(\alpha\)-MHD model
• Remarks on the blowup criteria for Oldroyd models
• The critical Sobolev inequalities in Besov spaces and regularity criterion to some semi-linear evolution equations
• Some new regularity criteria for the 2D Euler-Boussinesq equations via the temperature
• On Kato-Ponce and fractional Leibniz
• Regularity criterion of the 2D Bénard equations with critical and supercritical dissipation
• Mathematical results related to a two-dimensional magneto-hydrodynamic equations
• Fourier Analysis and Nonlinear Partial Differential Equations
• The 2D magnetohydrodynamic equations with magnetic diffusion
• Commutator estimates and the euler and navier-stokes equations
• Sharp Sobolev Inequality of Logarithmic Type and the Limiting Regularity Condition to the Harmonic Heat Flow
• A regularity criterion for the 2D MHD and viscoelastic fluid equations

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