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

Research output: Contribution to journal › Article › peer-review

36 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	37-51
Number of pages	15
Journal	Annali dell'Universita di Ferrara
Volume	56
Issue number	1
DOIs	https://doi.org/10.1007/s11565-010-0094-0
State	Published - 2010
Externally published	Yes

Keywords

Hydrodynamics
Micropolar fluid
Unbounded domain

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10.1007/s11565-010-0094-0

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abstract = "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.",

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AU - Boldrini, J. L.

AU - Durán, M.

AU - Rojas-Medar, M. A.

PY - 2010

Y1 - 2010

N2 - 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.

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

UR - https://www.scopus.com/pages/publications/77952322437

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DO - 10.1007/s11565-010-0094-0

M3 - Article

AN - SCOPUS:77952322437

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JO - Annali dell'Universita di Ferrara

JF - Annali dell'Universita di Ferrara

IS - 1

ER -

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

Abstract

Keywords

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