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Existence and uniqueness of solutions for the axisymmetric Navier-883 Stokes system
Journal article   Peer reviewed

Existence and uniqueness of solutions for the axisymmetric Navier-883 Stokes system

Gallagher, S Ibrahim and M Majdoub
Communications in partial differential equations, Vol.26(5-6), pp.883-907
01/01/2001
DOI: https://doi.org/10.1081/PDE-100002382

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
We study the Navier-Stokes equations, written in a domain of R-3 which is invariant under rotation around the vertical axis, or in the whole space R-3; the solutions seeked are also invariant by that rotation, and we look for conditions on the initial data which are close to the natural assumptions in the case of two space dimensions.

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