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New Liouville type theorems for the stationary Navier–Stokes, MHD, and Hall–MHD equations

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Published 30 January 2024 • © 2024 IOP Publishing Ltd & London Mathematical Society
, , Citation Youseung Cho et al 2024 Nonlinearity 37 035007 DOI 10.1088/1361-6544/ad1efc

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m.yang@yonsei.ac.kr

Author affiliations

1 Institute of Mathematics, Czech Academy of Sciences, Žitná 25, Praha 1 115 67, Czech Republic

2 Department of Mathematics, Yonsei University, Yonseiro 50, Seodaemungu, Seoul 03722, Republic of Korea

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3 Author to whom any correspondence should be addressed.

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Dates

  1. Received 17 May 2023
  2. Accepted 16 January 2024
  3. Published

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0951-7715/37/3/035007

Abstract

We establish new Liouville-type theorems for weak solutions of the stationary Navier–Stokes equations, stationary magnetohydrodynamics (MHD) equations and stationary Hall–MHD equations under some conditions on the growth of certain Lebesgue norms of the velocity and the magnetic field.

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10.1088/1361-6544/ad1efc