We investigate the existence and uniqueness issues of the 3D incompressible Hall-
magnetohydrodynamic system supplemented with initial velocity u 0 and magnetic field B 0 …

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 prove the global well-posedness of the Cauchy problem to the 3-D
compressible Hall-magnetohydrodynamic (MHD) system supplemented with a class of large …

In this paper, we construct the global large solution to the three-dimensional incompressible
Hall-MHD equations with a class of initial data. Here the “large solution” means that the L∞ …

In this paper, we focus on the well-posedness problem of the three-dimensional
incompressible viscous and resistive Hall-magnetohydrodynamics system (Hall-MHD) with …

In this paper, we first prove the local well-posedness of strong solutions to the
incompressible Hall-MHD system for initial data (u 0, B 0)∈ H 1 2+ σ (R 3)× H 3 2 (R 3) with …

In this paper, we address the 3D incompressible Hall-magnetohydrodynamic system (Hall-
MHD). Our objective is to provide local and global well-posedness results for initial velocity …

This paper examines the large time behavior of solutions to the 3D Hall-
magnetohydrodynamic equations with horizontal dissipation. As preparations we establish …

In this paper, we study the global well-posedness of the incompressible Hall-MHD system
for small initial data $(u_0, b_0)\in\dot B^{\frac3p-1} _ {p, 5}(\mathbb {R})\times\Big (\dot …

This paper is concerned with the uniqueness and energy conservation of weak solutions for
Electron-MHD system. Under suitable assumptions, we first show that the Electron-MHD …