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The paper is dedicated to study of the Cauchy problem for the magneto-micropolar fluid equations in three-dimensional spaces. A new logarithmically improved regularity criterion for the magneto-micropolar fluid equations is established in terms of the pressure in the homogeneous Besov space B˙∞,∞−1

discrete dynamics in nature and society

A Regularity Criterion for the Magneto-Micropolar Fluid Equations in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:msubsup><mml:mover accent="true"><mml:mi>B</mml:mi><mml:mo>˙</mml:mo></mml:mover><mml:mrow><mml:mi>∞</mml:mi><mml:mo>,</mml:mo><mml:mi>∞</mml:mi></mml:mrow><mml:mrow><mml:mo>−</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msubsup></mml:mrow></mml:math>

A Regularity Criterion for the Magneto-Micropolar Fluid Equations inB˙∞,∞−1