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 |
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| container_title | Mathematical methods in the applied sciences |
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| creator | Ferreira, L. C. F. Villamizar-Roa, E. J. |
| description | 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. |
| doi_str_mv | 10.1002/mma.838 |
| format | Article |
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| ispartof | Mathematical methods in the applied sciences, 2007-07, Vol.30 (10), p.1185-1208 |
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| language | eng |
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| source | Wiley Online Library Journals Frontfile Complete |
| subjects | Exact sciences and technology global strong solution large time behaviour Mathematical analysis Mathematics micropolar fluids Partial differential equations Sciences and techniques of general use |
| title | On the existence and stability of solutions for the micropolar fluids in exterior domains |
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