Geodesic
Local-in-time existence for the non-resistive incompressible magneto-micropolar fluids
Applications of Mathematics, Tome 67 (2022) no. 2, pp. 199-208 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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 $u_0\in H^{s-1+\varepsilon }$, $w_0\in H^{s-1}$ and $b_0\in H^{s}$ for $s>\frac {3}{2}$ and any $0\varepsilon 1$. The initial regularity of the micro-rotational velocity $w$ is weaker than velocity of the fluid $u$.
We establish the local-in-time existence of a solution to the non-resistive magneto-micropolar fluids with the initial data $u_0\in H^{s-1+\varepsilon }$, $w_0\in H^{s-1}$ and $b_0\in H^{s}$ for $s>\frac {3}{2}$ and any $0\varepsilon 1$. The initial regularity of the micro-rotational velocity $w$ is weaker than velocity of the fluid $u$.
DOI : 10.21136/AM.2021.0111-20
Classification : 35A01, 35Q30, 76B03, 76W05
Keywords: non-resistive magneto-micropolar fluid; local existence 
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     title = {Local-in-time existence for the non-resistive incompressible magneto-micropolar fluids},
     journal = {Applications of Mathematics},
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     year = {2022},
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Zhang, Peixin; Zhu, Mingxuan. Local-in-time existence for the non-resistive incompressible magneto-micropolar fluids. Applications of Mathematics, Tome 67 (2022) no. 2, pp. 199-208. doi: 10.21136/AM.2021.0111-20

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