Vanishing viscosity for non-homogeneous asymmetric fluids in R3: The L2 case

P. Braz e Silva; F. W. Cruz; M. Rojas-Medar

doi:10.1016/j.jmaa.2014.05.060

Vanishing viscosity for non-homogeneous asymmetric fluids in R3: The L² case

P. Braz e Silva
, F. W. Cruz
, M. Rojas-Medar

Universidade Federal de Pernambuco
Fundação Universidade Federal do Vale do São Francisco
Universidad del Bío-Bío

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

13 Scopus citations

Abstract

We study the vanishing viscosity problem for the local-in-time solutions to the equations of non-homogeneous, viscous, incompressible asymmetric fluid in R3 in the L² context. We prove that the fluid variables converge uniformly as the viscosities go to zero to a solution of a non-homogeneous, non-viscous, incompressible asymmetric fluid governed by an Euler-like system. This completes the previous work [5] where results for L^p, p>3, where obtained.

Original language	English
Pages (from-to)	207-221
Number of pages	15
Journal	Journal of Mathematical Analysis and Applications
Volume	420
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2014.05.060
State	Published - 1 Dec 2014
Externally published	Yes

Keywords

Asymmetric fluids
Euler-like system
Vanishing viscosity

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10.1016/j.jmaa.2014.05.060

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title = "Vanishing viscosity for non-homogeneous asymmetric fluids in R3: The L2 case",

abstract = "We study the vanishing viscosity problem for the local-in-time solutions to the equations of non-homogeneous, viscous, incompressible asymmetric fluid in R3 in the L2 context. We prove that the fluid variables converge uniformly as the viscosities go to zero to a solution of a non-homogeneous, non-viscous, incompressible asymmetric fluid governed by an Euler-like system. This completes the previous work [5] where results for Lp, p>3, where obtained.",

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T1 - Vanishing viscosity for non-homogeneous asymmetric fluids in R3

T2 - The L2 case

AU - Braz e Silva, P.

AU - Cruz, F. W.

AU - Rojas-Medar, M.

PY - 2014/12/1

Y1 - 2014/12/1

N2 - We study the vanishing viscosity problem for the local-in-time solutions to the equations of non-homogeneous, viscous, incompressible asymmetric fluid in R3 in the L2 context. We prove that the fluid variables converge uniformly as the viscosities go to zero to a solution of a non-homogeneous, non-viscous, incompressible asymmetric fluid governed by an Euler-like system. This completes the previous work [5] where results for Lp, p>3, where obtained.

AB - We study the vanishing viscosity problem for the local-in-time solutions to the equations of non-homogeneous, viscous, incompressible asymmetric fluid in R3 in the L2 context. We prove that the fluid variables converge uniformly as the viscosities go to zero to a solution of a non-homogeneous, non-viscous, incompressible asymmetric fluid governed by an Euler-like system. This completes the previous work [5] where results for Lp, p>3, where obtained.

KW - Asymmetric fluids

KW - Euler-like system

KW - Vanishing viscosity

UR - https://www.scopus.com/pages/publications/84904105854

U2 - 10.1016/j.jmaa.2014.05.060

DO - 10.1016/j.jmaa.2014.05.060

M3 - Article

AN - SCOPUS:84904105854

SN - 0022-247X

VL - 420

SP - 207

EP - 221

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 1

ER -

Vanishing viscosity for non-homogeneous asymmetric fluids in R3: The L² case

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Keywords

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