An Introduction to the Mathematical Theory of the Navier-Stokes Equations: Steady-State Problems

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Liouville type theorem for stationary Navier–Stokes equations (2015, background): “In the monograph [3], it has been shown that the condition ( ) R ∈ u L 3 9 2 (1.”
Well-posedness for Hall-magnetohydrodynamics (2012, methodology): “1 If we set B = 0 in the Hall-MHD system, the above theorem reduces to the well-known Galdi result [8] for the Navier-Stokes equations.”
Systems of Navier-Stokes equations on Cantor sets (2013, unknown): “Introduction The Navier-Stokes equations [1–3] are commonly used in describing motion of fluids in models relevant to weather, ocean currents, water flow in pipes, and so forth.”
Some Liouville theorems for stationary Navier-Stokes equations in Lebesgue and Morrey spaces (2018, background): “We are going to prove the identity ~ U = 0 and for this we will follow the main ideas of [4] (Theorem X.”