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Liouville-type theorems for the 3D stationary Navier-Stokes, MHD and Hall-MHD equations

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Abstract In this paper, we consider the Liouville-type problem of the three dimensional stationary incompressible Navier-Stokes equations, and establish an improved Liouville-type result only under the condition that the L… Click to show full abstract

Abstract In this paper, we consider the Liouville-type problem of the three dimensional stationary incompressible Navier-Stokes equations, and establish an improved Liouville-type result only under the condition that the L p norm of a velocity u is finite. Moreover, these results are extended to the MHD and Hall-MHD equations.

Keywords: mhd equations; mhd hall; liouville type; navier stokes; hall mhd

Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2020

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