Existence and uniqueness of strong solution for the incompressible micropolar fluid equations in domains of ℝ3

J. L. Boldrini; M. Durán; M. A. Rojas-Medar

doi:10.1007/s11565-010-0094-0

Existence and uniqueness of strong solution for the incompressible micropolar fluid equations in domains of ℝ³

J. L. Boldrini
, M. Durán
, M. A. Rojas-Medar

Universidade Estadual de Campinas
Pontificia Universidad Católica de Chile
Universidad del Bío-Bío

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

36 Citas (Scopus)

Resumen

We consider the initial boundary value problem for the system of equations describing the nonstationary flow of an incompressible micropolar fluid in a domain Ω of ℝ³. Under hypotheses that are similar to the Navier-Stokes equations, by using an iterative scheme, we prove the existence and uniqueness of strong solution in L_p(Ω), for p > 3.

Idioma original	Inglés
Páginas (desde-hasta)	37-51
Número de páginas	15
Publicación	Annali dell'Universita di Ferrara
Volumen	56
N.º	1
DOI	https://doi.org/10.1007/s11565-010-0094-0
Estado	Publicada - 2010
Publicado de forma externa	Sí

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AB - We consider the initial boundary value problem for the system of equations describing the nonstationary flow of an incompressible micropolar fluid in a domain Ω of ℝ3. Under hypotheses that are similar to the Navier-Stokes equations, by using an iterative scheme, we prove the existence and uniqueness of strong solution in Lp(Ω), for p > 3.

KW - Hydrodynamics

KW - Micropolar fluid

KW - Unbounded domain

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