Global strong solutions for variable density incompressible asymmetric fluids in thin domains

Global well-posedness and exponential decay for 3D nonhomogeneous magneto-micropolar fluid equations with vacuum

“…Later on, Ye [24] improved their result by removing the compatibility condition and furthermore obtained exponential decay of strong solution (see also [23] for the case of bounded domains). There are other interesting studies on the nonhomogeneous micropolar fluid equations, such as the vanishing viscosity problem [7,11], error estimates for spectral semi-Galerkin approximations [13], the local existence of semi-strong solutions [8], and strong solutions in thin domains [9].…”

Global strong solution to the nonhomogeneous micropolar fluid equations with large initial data and vacuum

“…Applying the Desjardins interpolation inequality, Liu and Zhong [17] investigated the global existence and exponential decay of strong solution to the 2D initial boundary value problem with general large data and vacuum. There are also other interesting studies on the nonhomogeneous micropolar fluid equations, such as the vanishing viscosity problem [3,7], error estimates for spectral semi-Galerkin approximations [11], the local existence of semi-strong solutions [4], and strong solutions in thin domains [5]. Recently, by spatial-weighted energy method, Zhong [26] proved the local existence of strong solutions to the Cauchy problem of (1.2) in R 2 .…”