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.

中文翻译：

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3D 平稳 Navier-Stokes、MHD 和 Hall-MHD 方程的 Liouville 型定理

摘要 本文考虑了三维静止不可压缩Navier-Stokes方程的Liouville型问题，并仅在速度u的L p范数有限的条件下建立了改进的Liouville型结果。此外，这些结果被扩展到 MHD 和 Hall-MHD 方程。