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Local-in-time existence for the non-resistive incompressible magneto-micropolar fluids

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We establish the local-in-time existence of a solution to the non-resistive magneto-micropolar fluids with the initial data u 0 ∈ H s −1+ ε , w 0 ∈ H s… Click to show full abstract

We establish the local-in-time existence of a solution to the non-resistive magneto-micropolar fluids with the initial data u 0 ∈ H s −1+ ε , w 0 ∈ H s −1 and b 0 ∈ H s for $$s > {3 \over 2}$$ s > 3 2 and any 0 < ε < 1. The initial regularity of the micro-rotational velocity w is weaker than velocity of the fluid u .

Keywords: micropolar fluids; local time; magneto micropolar; non resistive; time existence

Journal Title: Applications of Mathematics
Year Published: 2021

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