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3-D Anisotropic vs Classical Incompressible Navier-Stokes Equationsof the three-dimensional incompressible Navier--Stokes system (denoted by (NS)). We then present our results on the global well-posedness of the three-dimensional anisotropic Navier--Stokes system ((ANS)), which has dissipation only in the x_1 and x_2 directions. In the third part of this article, we establish regularity criteria and well-posedness results for the system (NS). We emphasize that the proofs of these results rely essentially on the anisotropic analysis developed in our study of (ANS). Finally, we present our results on lower bound estimates for the analyticity radius of solutions to both (NS) and (ANS).Uploaded 06-10-26 Learn more about your ad choices. Visit megaphone.fm/adchoices
