The nonstationary flows of micropolar fluids with thermal convection: An iterative approach

Charles Amorim; Miguel Loayza; Marko A. Rojas-Medar

doi:10.3934/dcdsb.2020193

The nonstationary flows of micropolar fluids with thermal convection: An iterative approach

Charles Amorim
, Miguel Loayza
, Marko A. Rojas-Medar

Departamento de Matemática

Universidade Federal de Pernambuco

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

3 Citas (Scopus)

Resumen

We consider a problem that describes the motion of a viscous incompressible and heat-conducting micropolar uids in a bounded domain Ω ⊂ R3. We use an iterative method to analyze the existence, uniqueness, and regularity of the solutions. We also determine the convergence rates in several norms.

Idioma original	Inglés
Páginas (desde-hasta)	2509-2535
Número de páginas	27
Publicación	Discrete and Continuous Dynamical Systems - Series B
Volumen	26
N.º	5
DOI	https://doi.org/10.3934/dcdsb.2020193
Estado	Publicada - may 2021

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title = "The nonstationary flows of micropolar fluids with thermal convection: An iterative approach",

abstract = "We consider a problem that describes the motion of a viscous incompressible and heat-conducting micropolar uids in a bounded domain Ω ⊂ R3. We use an iterative method to analyze the existence, uniqueness, and regularity of the solutions. We also determine the convergence rates in several norms.",

keywords = "Convergence rates, Existence and uniqueness, Regularity, Thermal convection",

author = "Charles Amorim and Miguel Loayza and Rojas-Medar, \{Marko A.\}",

year = "2021",

month = may,

doi = "10.3934/dcdsb.2020193",

language = "English",

volume = "26",

pages = "2509--2535",

journal = "Discrete and Continuous Dynamical Systems - Series B",

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T1 - The nonstationary flows of micropolar fluids with thermal convection

T2 - An iterative approach

AU - Amorim, Charles

AU - Loayza, Miguel

AU - Rojas-Medar, Marko A.

PY - 2021/5

Y1 - 2021/5

N2 - We consider a problem that describes the motion of a viscous incompressible and heat-conducting micropolar uids in a bounded domain Ω ⊂ R3. We use an iterative method to analyze the existence, uniqueness, and regularity of the solutions. We also determine the convergence rates in several norms.

AB - We consider a problem that describes the motion of a viscous incompressible and heat-conducting micropolar uids in a bounded domain Ω ⊂ R3. We use an iterative method to analyze the existence, uniqueness, and regularity of the solutions. We also determine the convergence rates in several norms.

KW - Convergence rates

KW - Existence and uniqueness

KW - Regularity

KW - Thermal convection

UR - https://www.scopus.com/pages/publications/85108557535

U2 - 10.3934/dcdsb.2020193

DO - 10.3934/dcdsb.2020193

M3 - Article

AN - SCOPUS:85108557535

SN - 1531-3492

VL - 26

SP - 2509

EP - 2535

JO - Discrete and Continuous Dynamical Systems - Series B

JF - Discrete and Continuous Dynamical Systems - Series B

IS - 5

ER -

The nonstationary flows of micropolar fluids with thermal convection: An iterative approach

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