Global existence and optimal convergence rates of solutions for 3D compressible magneto-micropolar fluid equations

Uniform Regularity for the Isentropic Compressible Magneto-Micropolar System

“…Wei-Guo-Li [10] and Wu-Wang [11] studied the long-time behavior of smooth solutions when inf ρ 0 > 0. Zhang [13] showed the local well-posedness (without proof) and a blow-up criterion with inf ρ 0 = 0 and (1.7)- (1.8).…”

Strong solutions to the three-dimensional barotropic compressible magneto-micropolar fluid equations with vacuum

“…Thus, coupling the conservation laws for micropolar fluids with the equations of electrodynamics, one comes to magnetohydrodynamics of micropolar fluids, which is a direct generalization of that for classical fluids. Mathematical analysis of a model of magneto-micropolar fluids were considered recently in [23,25,28]. Precisely, for 3D Cauchy problem of (1.1), Wei et al [23] obtained global existence and optimal convergence rates of smooth solutions if the initial perturbation is small in H 3 -norm (see also [21,27] for related results).…”

“…Mathematical analysis of a model of magneto-micropolar fluids were considered recently in [23,25,28]. Precisely, for 3D Cauchy problem of (1.1), Wei et al [23] obtained global existence and optimal convergence rates of smooth solutions if the initial perturbation is small in H 3 -norm (see also [21,27] for related results). Meanwhile, Xu et al [25] showed the global existence, uniqueness, and exponential convergence rates of strong solutions in a bounded domain.…”

Well-posedness of compressible magneto-micropolar fluid equations

“…For the compressible case, recently, Guo et al [52] studied the global existence and optimal time decay rates of solution to MMNS system in R 3 by combining the L p − L q estimates for the linearized equations and the Fourier splitting method. Later, Wu-Wang [53] gave a pointwise estimates for the 3D MNS system, which exhibited generalized Huygen's principle for the fluid density and fluid momentum as the compressible NS equation.…”