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arxiv: 0906.4473 · v1 · submitted 2009-06-24 · 🧮 math.AP

Global existence and uniqueness for anisotropic axisymmetric Navier-Stokes system

classification 🧮 math.AP
keywords systemaxisymmetricexistenceglobalnavier-stokesanisotropicdatahorizontal
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We study in this paper the axisymmetric 3-D Navier-Stokes system where the horizontal viscosity is zero. We prove the existence of a unique global solution to the system with initial data of Yudovitch type

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