On the Global Wellposedness to the 3-D Incompressible Anisotropic Navier-Stokes Equations

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On the Global Solution of a 3‐D MHD System with Initial Data near Equilibrium (2015, unknown): “For the convenience of the readers, we recall the following Bernstein type lemma from [2, 11, 25]:”
Global well‐posedness for compressible Navier‐Stokes equations with highly oscillating initial velocity (2009, result): “We refer to [8, 10, 9, 25] for some relevant results.”
Global regularity for some classes of large solutions to the Navier-Stokes equations (2008, result): “Analogous results to the classical Navier-Stokes system in the framework of small data are proved in [4], [17], [31], and [9].”
Global Small Solutions to an MHD‐Type System: The Three‐Dimensional Case (2014, methodology): “9), instead of using the classical anisotropic-type Besov spaces as found in [5, 6, 10, 17], we need to introduce the following norm: DEFINITION 2.”
Global existence and decay of solutions to Prandtl system with small analytic data. (2019, unknown): “We also recall the following anisotropic Bernstein lemma from [6, 19]: Lemma 2.”
Global small solutions to 2-D incompressible MHD system (2013, unknown): “It also suggests us to employ the tool of anisotropic Littlewood-Paley theory, which has been used in the study of the global wellposedness to 3D anisotropic incompressible Navier-Stokes equations [7, 8, 18, 19, 28, 29, 33], and in [25] to explore the dissipative properties to the three-dimensional ”