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.