摘要

By using the Fourier splitting method and the properties of decay character r*, we establish the time decay rate in the L-2-norm for the weak solutions and the higher-order derivative of solutions for the generalized Hall-magnetohydrodynamic equations in R 3. In particular, when (u(0), b(0)) is an element of H-s(R-3) boolean AND L-1(R-3) has decay character r* (u(0)) = r* (b(0)) = 0 and alpha = beta = 1, then we recover the previous results of Chae and Schonbek [J. Differ. Equations 255, 3971-3982 (2013)]. Published by AIP Publishing.