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math.AP2021
The influence of viscous coefficients on the lifespan of 3-D anisotropic Navier-Stokes system
Tiantian Hao, Yanlin Liu
The anisotropic Navier-Stokes system arises in geophysical fluid dynamics, which is derived by changing $-ν\D$ in the classical Navier-Stokes system to $-(ν_1\partial^2_1+ν_2\parti…
math.AP2021
Long-time asymptotics of -D axisymmetric Navier-Stokes equations in critical spaces
Yanlin Liu
We show that any unique global solution (here we do not require any smallness condition beforehand) to 3-D axisymmetric Navier-Stokes equations in some scaling invariant spaces mus…