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Existence of solutions for the 3D-micropolar fluid system with initial data in Besov–Morrey spaces

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Abstract

In this paper, we show a local-in-time existence result for the 3D micropolar fluid system in the framework of Besov–Morrey spaces. The initial data class is larger than the previous ones and contains strongly singular functions and measures.

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Authors and Affiliations

  1. IMECC-Departamento de Matemática, Universidade Estadual de Campinas, Rua Sérgio Buarque de Holanda 651, Campinas, SP, CEP 13083-859, Brazil

    Lucas C. F. Ferreira

  2. IBILCE-Departamento de Matemática, Universidade Estadual Paulista, Rua Cristóvão Colombo 2265, Jd. Nazareth, São José do Rio Preto, SP, CEP 15054-000, Brazil

    Juliana C. Precioso

Authors
  1. Lucas C. F. Ferreira
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  2. Juliana C. Precioso
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Correspondence to Lucas C. F. Ferreira.

Additional information

L. C. F. Ferreira was supported by FAPESP and CNPq, Brazil.

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Ferreira, L.C.F., Precioso, J.C. Existence of solutions for the 3D-micropolar fluid system with initial data in Besov–Morrey spaces. Z. Angew. Math. Phys. 64, 1699–1710 (2013). https://doi.org/10.1007/s00033-013-0310-8

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  • DOI: https://doi.org/10.1007/s00033-013-0310-8

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