## Abstract In this paper we study the magneto‐micropolar fluid equations in ℝ^3^, prove the existence of the strong solution with initial data in __H__^__s__^(ℝ^3^) for $s>{3\over2}$, and set up its blow‐up criterion. The tool we mainly use is Littlewood–Paley decomposition, by which we obtain a B
Blow-up criterion for two-dimensional magneto-micropolar fluid equations with partial viscosity
✍ Scribed by Yu-Zhu Wang; Yin-Xia Wang
- Publisher
- John Wiley and Sons
- Year
- 2011
- Tongue
- English
- Weight
- 173 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.1510
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✦ Synopsis
In this paper, we derive a blow-up criterion of smooth solutions to the incompressible magneto-micropolar fluid equations with partial viscosity in two space dimensions. Our proof is based on careful Hölder estimates of heat and transport equations and the standard Littlewood-Paley theory.
📜 SIMILAR VOLUMES
## Abstract Motivated by the study of a two‐dimensional point vortex model, we analyse the following Emden–Fowler type problem with singular potential: where __V__(__x__) = __K__(__x__)/|__x__|^2α^ with α∈(0, 1), 0<__a__⩽__K__(__x__)⩽__b__< + ∞, ∀__x__∈Ω and ∥∇__K__∥~∞~⩽__C__. We first extend var