Author(s)

Yu Gao

College of Science, University of Shanghai for Science and Technology, Shanghai, China.

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 L^p-L^q estimates by the linearized operator.

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

Gao, Y. (2019) Decay Rates of the Full Compressible Hall-MHD Equations for Quantum Plasmas. Journal of Applied Mathematics and Physics, 7, 2603-2631. doi: 10.4236/jamp.2019.711178.