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Li, F. and Yu, H. (2011) Optimal Decay Rate of Classical Solutions to the Compressible Magnetohydrodynamic Equations. Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 141, 109-126.
https://doi.org/10.1017/S0308210509001632

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.