Global solvability of 3D inhomogeneous Navier-Stokes equations with density-dependent viscosity
Huang, Xiangdi · Wang, Yun
Original · EN
In this paper, we consider the three-dimensional inhomogeneous Navier-Stokes equations with density-dependent viscosity in presence of vacuum over bounded domains. Global-in-time unique strong solution is proved to exist when ∇ u₀ₗ₂ is suitably small with arbitrary large initial density. This generalizes all the previous results even for the constant viscosity.
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