Year: 2022
Author: Tiantian Hao
Communications in Mathematical Research , Vol. 38 (2022), Iss. 1 : pp. 62–80
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cmr.2021-0040
Communications in Mathematical Research , Vol. 38 (2022), Iss. 1 : pp. 62–80
Published online: 2022-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 19
Keywords: Inhomogeneous Navier-Stokes system anisotropic Littlewood-Paley theory global well-posedness.