We prove the local wellposedness of the Cauchy problems for the electron
magnetohydrodynamics equations (E-MHD) without resistivity for possibly large …

In this article, we prove various illposedness results for the Cauchy problem for the
incompressible Hall-and electron-magnetohydrodynamic (MHD) equations without …

We show that the viscous resistive magnetohydrodynamics system with Hall effect is locally
well-posed in H s (R 3)× H s+ 1− ε (R 3) with s> 1 2 and any small enough ε> 0 such that s …

We prove the global well-posedness of the Cauchy problem to the 3D incompressible Hall-
magnetohydrodynamic system supplemented with initial data in critical Besov spaces that …

Nonunique weak solutions in Leray--Hopf class are constructed for the three-dimensional
magneto-hydrodynamics with Hall effect. We adapt the widely appreciated convex …

In this paper, we investigate the well-posedness results of the three-dimensional
incompressible Hall-magnetohydrodynamic equations with fractional dissipation. More …

In this paper, we deal with the 2 1 2 dimensional Hall MHD by taking the velocity field u and
the magnetic field B of the form u (t, x, y)=∇⊥ ϕ (t, x, y), W (t, x, y) and B (t, x, y)=∇⊥ ψ (t, x …

We introduce an active vector system, which generalises both the 3D Euler equations and
the electron–magnetohydrodynamic equations (E–MHD). We may as well view the system …

On Uniqueness and Helicity Conservation of Weak Solutions to the Electron-MHD System |
Journal of Mathematical Fluid Mechanics Skip to main content SpringerLink Account Menu Find …

In this paper, we prove a single-component BKM-type regularity criterion for the inviscid
axially symmetric Hall-MHD system. More precisely, we show that if the current density is …