Article citationsMore>>

Gao, J. and Yao, Z. (2017) Global Existence and Optimal Decay Rates of Solutions for Compressible Hall-MHD Equations. Discrete & Continuous Dynamical Systems, 36, 3077-3106.
https://doi.org/10.3934/dcds.2016.36.3077

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.