Time-periodic solution to the compressible viscous quantum magnetohydrodynamic model

Global well-posedness of the compressible quantum magnetohydrodynamic model with small initial energy

“…Recently, Xi and her collaborators [26,27] established the optimal time decay rates for higher-order spatial derivatives of solutions by using the Fourier splitting method. In [32], Yang et al investigated the existence of the time-periodic solution combined with the topological degree theory. In addition, for related models of the vQMHD system, there is a rich body of literature concerned with the compressible fluid model of Korteweg type.…”