On the existence and stability of solutions for the micropolar fluids in exterior domains |
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| Authors: | L. C. F. Ferreira E. J. Villamizar‐Roa |
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| Affiliation: | 1. Universidade Federal de Pernambuco, Recife, Pernambuco, CEP 50740‐540, Brazil;2. Escuela de Matemáticas, Universidad Industrial de Santander, A.A. 678, Bucaramanga‐Santander, ColombiaEscuela de Matemáticas, Universidad Industrial de Santander, A.A. 678, Bucaramanga‐Santander, Colombia=== |
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| Abstract: | 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. |
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| Keywords: | micropolar fluids global strong solution large time behaviour |
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