We consider the regularity criterion for the incompressible MHD equations. We show that the weak solution is regular, provided that (∂3w+, ∂3w −) ∈ L 5r 4r−6 0, T;Lr R3 with 4 ≤ r ≤∞, (0.1) or (∂3w+, ∂3w −) ∈ L 11r 7r−12 0, T;Lr R3 with 5 2 ≤ r ≤ 4. (0.2)

A new regularity criterion for the 3D incompressible MHD equations via partial derivatives

Ragusa, Maria Alessandra
2020

Abstract

We consider the regularity criterion for the incompressible MHD equations. We show that the weak solution is regular, provided that (∂3w+, ∂3w −) ∈ L 5r 4r−6 0, T;Lr R3 with 4 ≤ r ≤∞, (0.1) or (∂3w+, ∂3w −) ∈ L 11r 7r−12 0, T;Lr R3 with 5 2 ≤ r ≤ 4. (0.2)
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11769/369643
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