Global regularity for the 2D magneto-micropolar system with partial and fractional dissipation |
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Authors: | Yujun Liu |
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Institution: | Department of Mathematics and Computer, Panzhihua University, Panzhihua, 617000 China |
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Abstract: | This paper focuses on the 2D incompressible magneto-micropolar sysytem with the kinematic dissipation given by the fractional operator (−Δ)α, the magnetic diffusion by the fractional operator (−Δ)β and the spin dissipation by the fractional operator (−Δ)γ. α,β, and γ are nonnegative constants. We proved that this system with any α+β=2,1 ≤ α ≤ 2,γ=0, and α+γ ≥ 1,β=1 always possesses a unique global smooth solution if the initial data is sufficiently smooth. In addition, we also obtained the global regularity results for several partial dissipation cases. |
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Keywords: | fractional global regularity magneto-micropolar partial dissipation |
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