TY - JOUR
T1 - Global Solutions of 3-D Inhomogeneous Navier-Stokes System with Large Viscosity in One Variable
AU - Hao , Tiantian
JO - Communications in Mathematical Research 
VL - 1
SP - 62
EP - 80
PY - 2021
DA - 2021/11
SN - 38
DO - http://doi.org/10.4208/cmr.2021-0040
UR - https://global-sci.org/intro/article_detail/cmr/19957.html
KW - Inhomogeneous Navier-Stokes system, anisotropic Littlewood-Paley theory,
global well-posedness.
AB - <p style="text-align: justify;">We consider the global well-posedness of three dimensional incompressible inhomogeneous Navier-Stokes equation with different viscous coefficients in the vertical and horizontal variables. In particular, when one of these
viscous coefficients is large enough compared with the initial data and the initial density is close enough to a positive constant, we prove the global well-posedness of this system. This result extends the previous results in [9, 11] for
the classical Navier-Stokes system.</p>