Vanishing viscosity for non-homogeneous asymmetric fluids in R3

P. Braz e Silva; E. Fernández-Cara; M. A. Rojas-Medar

doi:10.1016/j.jmaa.2006.10.066

Vanishing viscosity for non-homogeneous asymmetric fluids in R³

P. Braz e Silva
, E. Fernández-Cara
, M. A. Rojas-Medar

Universidade Federal de Pernambuco
University of Seville
Universidade Estadual de Campinas

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

15 Citas (Scopus)

Resumen

We consider a non-homogeneous, viscous, incompressible asymmetric fluid in R³. We prove that there exists a small time interval where the fluid variables converge uniformly as the viscosities tend to zero. In the limit, we find a non-homogeneous, non-viscous, incompressible asymmetric fluid governed by an Euler-like system.

Idioma original	Inglés
Páginas (desde-hasta)	833-845
Número de páginas	13
Publicación	Journal of Mathematical Analysis and Applications
Volumen	332
N.º	2
DOI	https://doi.org/10.1016/j.jmaa.2006.10.066
Estado	Publicada - 15 ago. 2007
Publicado de forma externa	Sí

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10.1016/j.jmaa.2006.10.066

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abstract = "We consider a non-homogeneous, viscous, incompressible asymmetric fluid in R3. We prove that there exists a small time interval where the fluid variables converge uniformly as the viscosities tend to zero. In the limit, we find a non-homogeneous, non-viscous, incompressible asymmetric fluid governed by an Euler-like system.",

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AU - Fernández-Cara, E.

AU - Rojas-Medar, M. A.

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Y1 - 2007/8/15

N2 - We consider a non-homogeneous, viscous, incompressible asymmetric fluid in R3. We prove that there exists a small time interval where the fluid variables converge uniformly as the viscosities tend to zero. In the limit, we find a non-homogeneous, non-viscous, incompressible asymmetric fluid governed by an Euler-like system.

AB - We consider a non-homogeneous, viscous, incompressible asymmetric fluid in R3. We prove that there exists a small time interval where the fluid variables converge uniformly as the viscosities tend to zero. In the limit, we find a non-homogeneous, non-viscous, incompressible asymmetric fluid governed by an Euler-like system.

KW - Non-homogeneous asymmetric fluids

KW - Vanishing viscosity

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