## On the existence and stability of solutions for the micropolar fluids in exterior domains.(English)Zbl 1117.35065

Summary: We prove the existence of a global strong solution in some class of Marcinkiewicz spaces for the micropolar fluid in an exterior domain of $$\mathbb R^{3}$$, with initial conditions being a non-smooth disturbance of a steady solution. We also analyse the large time behaviour of those solutions and apply our results in the context of the Navier-Stokes equations.

### MSC:

 35Q35 PDEs in connection with fluid mechanics 76A05 Non-Newtonian fluids 35B40 Asymptotic behavior of solutions to PDEs
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### References:

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