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.
Fang, D., & Han, B. (2015). Global Solution for the Generalized Anisotropic Navier–Stokes Equations with Large Data. Mathematical Modelling and Analysis, 20(2), 205-231. https://doi.org/10.3846/13926292.2015.1020894
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