Global regularity of 2D generalized incompressible magnetohydrodynamic equations

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Fractional derivatives and integrals (26A33) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Fractional partial differential equations (35R11)

Cites Work

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Global regularity for logarithmically critical 2D MHD equations with zero viscosity
Global regularity for a class of generalized magnetohydrodynamic equations
Note on solution regularity of the generalized magnetohydrodynamic equations with partial dissipation
On global regularity of 2D generalized magnetohydrodynamic equations
On the global regularity of two-dimensional generalized magnetohydrodynamics system
Global Cauchy problem of 2D generalized MHD equations
Global regularity for the 2D MHD equations with mixed partial dissipation and magnetic diffusion
BKM's criterion and global weak solutions for magnetohydrodynamics with zero viscosity
Global regularity for a logarithmically supercritical hyperdissipative Navier-Stokes equation
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Global regularity of logarithmically supercritical MHD system with improved logarithmic powers
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Global regularity of 2D almost resistive MHD equations
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Quasi-geostrophic equations, nonlinear Bernstein inequalities and \(\alpha\)-stable processes
A remark on global regularity of 2D generalized magnetohydrodynamic equations
Remarks on global regularity of 2D generalized MHD equations
Global regularity of the logarithmically supercritical MHD system with zero diffusivity
Global regularity of 2D generalized MHD equations with magnetic diffusion
Global regularity of the two-dimensional incompressible generalized magnetohydrodynamics system
Global regularity for solutions to 2D generalized MHD equations with multiple exponential upper bound uniformly in time
An introduction to magnetohydrodynamics
Some mathematical questions related to the mhd equations
Fourier Analysis and Nonlinear Partial Differential Equations
Commutator estimates and the euler and navier-stokes equations
Well-Posedness of the Initial Value Problem for the Korteweg-de Vries Equation
Magnetic Reconnection
The 2D Incompressible Magnetohydrodynamics Equations with only Magnetic Diffusion

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