Abstract:The anisotropic Navier-Stokes system arises in geophysical fluid dynamics, which is derived by changing −ν∆ in the classical Navier-Stokes system to −(ν1∂ 2 1 + ν2∂ 2 2 + ν3∂ 2 3 ). Here ν1, ν2 , ν3 are the viscous coefficients, which can be different from each other. This reflects that the fluid can behave differently in each direction.The purpose of this paper is to derive some lower bound estimates on the lifespan to such anisotropic Navier-Stokes system. We not only investigate the case when ν1, ν2 , ν3 ar… Show more
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