Asymptotic behavior of a system of micropolar equations

Global attractors for a nonlinear one-dimensional compressible viscous micropolar fluid model

“…The forward and pullback attractors and their structures and dimensions for system (1.8) in smooth or non-smooth domains can be found in [3,4,5,6,7,8,19,20,21,22,23,34,35,39,40]. If Mach number is close to 0.3, the incompressible and compressible fluid are almost identical; however, Mach numbers of most of fluids are not around 0.3, and hence there exist the huge differences between compressible and incompressible fluids.…”

Exponential stability for magneto-micropolar fluids

“…More recently, in [14] the authors considered a weak-L p Prodi-Serrin type regularity criterion. In [17], the existence of restricted global attractors was showed through a semigroup approach. In [5], pointwise time error estimates in suitable Hilbert spaces were shown by considering spectral Galerkin approximations for strong solutions of the micropolar fluid model.…”