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

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

We prove the existence of a global strong solution in some class of Marcinkiewicz spaces for the micropolar fluid in an exterior domain of R3, 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 result...

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Veröffentlicht in:Mathematical methods in the applied sciences 2007-07, Vol.30 (10), p.1185-1208
Hauptverfasser: Ferreira, L. C. F., Villamizar-Roa, E. J.
Format: Artikel
Sprache:eng
Schlagworte:
Exact sciences and technology
global strong solution
large time behaviour
Mathematical analysis
Mathematics
micropolar fluids
Partial differential equations
Sciences and techniques of general use
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Zusammenfassung:We prove the existence of a global strong solution in some class of Marcinkiewicz spaces for the micropolar fluid in an exterior domain of R3, 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.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.838