On the existence and stability of solutions for the micropolar fluids in exterior domains | Zendy

Ferreira L. C. F. | Zendy; VillamizarRoa E. J. | Zendy

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On the existence and stability of solutions for the micropolar fluids in exterior domains

Author(s) -

Ferreira L. C. F.,

VillamizarRoa E. J.

Publication year - 2007

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.838

Subject(s) - mathematics , domain (mathematical analysis) , context (archaeology) , stability (learning theory) , class (philosophy) , mathematical analysis , computer science , paleontology , machine learning , artificial intelligence , biology

We prove the existence of a global strong solution in some class of Marcinkiewicz spaces for the micropolar fluid in an exterior domain of 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. Copyright © 2007 John Wiley & Sons, Ltd.

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