Another remark on the global regularity issue of the Hall-magnetohydrodynamics system

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Fractional partial differential equations (35R11)

Cites Work

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On the three-dimensional magnetohydrodynamics system in scaling-invariant spaces
Singularity formation for the incompressible Hall-MHD equations without resistivity
Global Cauchy problem of 2D generalized MHD equations
Kinetic formulation and global existence for the Hall-magneto-hydrodynamics system
On partial regularity for the steady Hall magnetohydrodynamics system
Remarks on regularities for the 3D MHD equations
Global regularity for the 2D MHD equations with mixed partial dissipation and magnetic diffusion
Well-posedness for Hall-magnetohydrodynamics
On the interior regularity of weak solutions of the Navier-Stokes equations
Remarks on the three and two and a half dimensional Hall-magnetohydrodynamics system: deterministic and stochastic cases
Local well-posedness for the Hall-MHD equations with fractional magnetic diffusion
Two regularity criteria for the 3D MHD equations
Some regularity criteria for the 3D incompressible magnetohydrodynamics
Remarks on the breakdown of smooth solutions for the 3-D Euler equations
On hydromagnetic waves in atmospheres with application to the Sun
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Global regularity of 2D generalized MHD equations with magnetic diffusion
On the blow-up criterion and small data global existence for the Hall-magnetohydrodynamics
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Un teorema di unicita per le equazioni di Navier-Stokes
Bifurcation analysis of magnetic reconnection in Hall-MHD-systems
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Vorticity and incompressible flow
On the critical one component regularity for 3-D Navier-Stokes system
Fourier Analysis and Nonlinear Partial Differential Equations
Studies on Magneto-Hydrodynamic Waves and other Anisotropic wave motions
Navier-Stokes equations with regularity in one direction
On the regularity of the solutions of the Navier–Stokes equations via one velocity component
Regularity criteria for the three-dimensional Navier-Stokes equations
Commutator estimates and the euler and navier-stokes equations
L_3,∞-solutions of the Navier-Stokes equations and backward uniqueness
The D incompressible Navier–Stokes equations with partial hyperdissipation
The 2D Incompressible Magnetohydrodynamics Equations with only Magnetic Diffusion
One component regularity for the Navier–Stokes equations
On Partial Regularity for the 3D Nonstationary Hall Magnetohydrodynamics Equations on the Plane

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