Chae, D. and Lee, J. (2014) On the Blow-Up Criterion and Small Data Global Existence for the Hall-Magnetohydrodynamics. Journal of Differential Equations, 256, 3835-3858.
https://doi.org/10.1016/j.jde.2014.03.003

has been cited by the following article:

• TITLE: Decay Rates of the Full Compressible Hall-MHD Equations for Quantum Plasmas

  AUTHORS: Yu Gao

  KEYWORDS: Full Compressible Hall-Magnetohydrodynamic Equations, Global Existence, Decay Rates

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.7 No.11, November 5, 2019

  ABSTRACT: In this paper, we are concerned with the Cauchy problem of the full compressible Hall-magnetohydrodynamic equations in three-dimensional whole space. By the energy method, global existence of a unique strong solution is established. If further that the L1-norm of the perturbation is bounded, we prove the decay rates in time of the solution and its first-order derivatives in L2-norm via some Lp-Lq estimates by the linearized operator.