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- W2893711391 abstract "We are concerned with magneto-micropolar fluid equations (1.3) – (1.4) . The global existence of solutions to the Cauchy problem is investigated under certain conditions. Precisely, for the magneto-micropolar-Navier–Stokes (MMNS) system, we obtain global existence and large time behavior of solutions near a constant states in R 3 . Appealing to a refined pure energy method, we first obtain a global existence theorem by assuming that the H 3 norm of the initial data is small, but the higher order derivatives can be arbitrary large. If the initial data belongs to homogeneous Sobolev norms H ˙ − s ( 0 ≤ s < 3 2 ) or homogeneous Besov norms B ˙ 2 , ∞ − s ( 0 < s ≤ 3 2 ) , we obtain the optimal decay rates of the solutions and its higher order derivatives. As an immediate byproduct, we also obtain the usual L p − L 2 ( 1 ≤ p ≤ 2 ) type of the decay rates without requiring that the L p norm of initial data is small. At last, we derive a weak solution to (1.3) – (1.4) in R 2 with large initial data." @default.
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- W2893711391 date "2019-03-01" @default.
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- W2893711391 title "Global existence and decay estimate of solutions to magneto-micropolar fluid equations" @default.
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- W2893711391 doi "https://doi.org/10.1016/j.jde.2018.09.027" @default.
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