@article{He2024, 
author = {Jianxia He and Ming Li},
title = {Existence of global solution to 3D density-dependent incompressible Navier-Stokes equations},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {3},
pages = {7728-7750},
keywords = {Navier-Stokes equations, density-dependent viscosity, degenerate viscosity, strong solution},
url = {https://www.sciopen.com/article/10.3934/math.2024375},
doi = {10.3934/math.2024375},
abstract = {In this article, we are committed to studying the three-dimensional incompressible Navier-Stokes equations, where the viscosity depends on density according to a power law. We investigate the Cauchy problem by constructing an approximation system and bootstrap argument. Finally, we establish the existence of a global strong solution under the conditions of small initial data and the compatibility condition. Meanwhile, the algebraic decay-in-time rates for the solution are also obtained. It is worth pointing out that the degradation of viscosity is allowed.}
}