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
2020-01-01
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)File in questo prodotto:
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