Semi-strong and strong solutions for variable density asymmetric fluids in unbounded domains

Pablo Braz e Silva; Felipe W. Cruz; Marko A. Rojas-Medar

doi:10.1002/mma.4006

Semi-strong and strong solutions for variable density asymmetric fluids in unbounded domains

Pablo Braz e Silva
, Felipe W. Cruz
, Marko A. Rojas-Medar

Departamento de Matemática

Universidade Federal de Pernambuco

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

10 Citas (Scopus)

Resumen

We establish the existence of local in time semi-strong solutions and global in time strong solutions for the system of equations describing flows of viscous and incompressible asymmetric fluids with variable density in general three-dimensional domains with boundary uniformly of class C³. Under suitable assumptions, uniqueness of local semi-strong solutions is also proved.

Idioma original	Inglés
Páginas (desde-hasta)	757-774
Número de páginas	18
Publicación	Mathematical Methods in the Applied Sciences
Volumen	40
N.º	3
DOI	https://doi.org/10.1002/mma.4006
Estado	Publicada - 1 feb 2017

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title = "Semi-strong and strong solutions for variable density asymmetric fluids in unbounded domains",

abstract = "We establish the existence of local in time semi-strong solutions and global in time strong solutions for the system of equations describing flows of viscous and incompressible asymmetric fluids with variable density in general three-dimensional domains with boundary uniformly of class C3. Under suitable assumptions, uniqueness of local semi-strong solutions is also proved.",

keywords = "35Q35, 76D03, asymmetric fluids, regularity theory, semi-Galerkin approximations, semi-strong solutions, strong solutions, subclass 35Q30",

author = "\{Braz e Silva\}, Pablo and Cruz, \{Felipe W.\} and Rojas-Medar, \{Marko A.\}",

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AU - Braz e Silva, Pablo

AU - Cruz, Felipe W.

AU - Rojas-Medar, Marko A.

PY - 2017/2/1

Y1 - 2017/2/1

N2 - We establish the existence of local in time semi-strong solutions and global in time strong solutions for the system of equations describing flows of viscous and incompressible asymmetric fluids with variable density in general three-dimensional domains with boundary uniformly of class C3. Under suitable assumptions, uniqueness of local semi-strong solutions is also proved.

AB - We establish the existence of local in time semi-strong solutions and global in time strong solutions for the system of equations describing flows of viscous and incompressible asymmetric fluids with variable density in general three-dimensional domains with boundary uniformly of class C3. Under suitable assumptions, uniqueness of local semi-strong solutions is also proved.

KW - 35Q35

KW - 76D03

KW - asymmetric fluids

KW - regularity theory

KW - semi-Galerkin approximations

KW - semi-strong solutions

KW - strong solutions

KW - subclass 35Q30

UR - https://www.scopus.com/pages/publications/84994175839

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SN - 0170-4214

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SP - 757

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JO - Mathematical Methods in the Applied Sciences

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IS - 3

ER -

Semi-strong and strong solutions for variable density asymmetric fluids in unbounded domains

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