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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.