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Original Articles

Global Solution for the Generalized Anisotropic Navier–Stokes Equations with Large Data

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Pages 205-231 | Received 12 May 2014, Published online: 30 Mar 2015
 

Abstract

We are concerned with 3D incompressible generalized anisotropic Navier– Stokes equations with hyperdissipative term in horizontal variables. We prove that there exists a unique global solution for it with large initial data in anisotropic Besov space.

AMS Subject Classification:

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