Micropolar fluid system in a space of distributions and large time behavior |
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Authors: | LCF Ferreira EJ Villamizar-Roa |
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Institution: | a Departamento de Matemática, Universidade Federal de Pernambuco Recife, Pernambuco, CEP 50740-540, Brazil b Universidad Industrial de Santander, A.A, 678, Bucaramanga, Colombia |
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Abstract: | We analyze the well-posedness of the initial value problem for the generalized micropolar fluid system in a space of tempered distributions and also prove the existence of the stationary solutions. The asymptotic stability of solutions is showed in this space, and as a consequence, a criterium for vanishing small perturbations of initial data (stationary solution) at large time is obtained. A fast decay of the solutions is obtained when we assume more regularity on the initial data. |
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Keywords: | Micropolar fluid Large time behavior Spaces of distributions |
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