Global well-posedness and large-time behavior for anisotropic inhomogeneous Navier-Stokes equations with mixed partial dissipation

In this paper, we consider the Cauchy problem for the two-dimensional anisotropic inhomogeneous Navier-Stokes equations with mixed partial dissipation, where the density at infinity is in the state $ \widetilde{\rho} > 0 $. We obtain the global well-posedness of strong solutions and the large-tim...

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Bibliographic Details

Published in:	Electronic Research Archive
Main Author:	Ying Wang
Format:	Article
Language:	English
Published:	AIMS Press 2025-07-01
Subjects:	inhomogeneous navier-stokes equations global strong solutions partial dissipation decay rates vacuum
Online Access:	https://www.aimspress.com/article/doi/10.3934/era.2025194