Global existence and uniqueness for anisotropic axisymmetric Navier-Stokes system

Details Global existence and uniqueness for anisotropic axisymmetric Navier-Stokes system Global existence and uniqueness for anisotropic axisymmetric Navier-Stokes system

2009-06-24

arxiv.org/abs/0906.4473v1

Mathematics

Analysis of PDEs

27pages, submitted

Scientific paper

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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