| Abstract: | In this paper, we are concerned with optimal decay rates for higher-order spatial derivatives of classical solutions to the full compressible MHD equations in three-dimensional whole space. If the initial perturbation is small in \({H^3}\)-norm and bounded in \({L^q(q\in \left1, \frac{6}{5} \right))}\)-norm, we apply the Fourier splitting method by Schonbek (Arch Ration Mech Anal 88:209–222, 1985) to establish optimal decay rates for the second-order spatial derivatives of solutions and the third-order spatial derivatives of magnetic field in \({L^2}\)-norm. These results improve the work of Pu and Guo (Z Angew Math Phys 64:519–538, 2013). |
