Inviscid limit for Navier-Stokes equations in domains with permeable boundaries

Maria Fernanda de Almeida Cipriano Salvador Marques

doi:10.1016/j.aml.2014.02.012

Inviscid limit for Navier-Stokes equations in domains with permeable boundaries

Maria Fernanda de Almeida Cipriano Salvador Marques

DM - Departamento de Matemática

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

11 Citations (Scopus)

Abstract

This work is concerned with 2D-Navier Stokes equations in a bounded domain with multiple connected permeable walls. The permeability is described by a Navier type condition. Our aim is to show that the inviscid limit is a solution of the Euler equations, satisfying the Navier type condition on the in ow zone of the walls.

Original language	Unknown
Pages (from-to)	6-11
Journal	Applied Mathematics Letters
Volume	33
Issue number	NA
DOIs	https://doi.org/10.1016/j.aml.2014.02.012
Publication status	Published - 1 Jan 2014

Access to Document

10.1016/j.aml.2014.02.012

Cite this

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title = "Inviscid limit for Navier-Stokes equations in domains with permeable boundaries",

abstract = "This work is concerned with 2D-Navier Stokes equations in a bounded domain with multiple connected permeable walls. The permeability is described by a Navier type condition. Our aim is to show that the inviscid limit is a solution of the Euler equations, satisfying the Navier type condition on the in ow zone of the walls.",

keywords = "inviscid limit, boundary layer, Euler equations, Navier-Stokes, permeable wall",

author = "Marques, {Maria Fernanda de Almeida Cipriano Salvador}",

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N2 - This work is concerned with 2D-Navier Stokes equations in a bounded domain with multiple connected permeable walls. The permeability is described by a Navier type condition. Our aim is to show that the inviscid limit is a solution of the Euler equations, satisfying the Navier type condition on the in ow zone of the walls.

AB - This work is concerned with 2D-Navier Stokes equations in a bounded domain with multiple connected permeable walls. The permeability is described by a Navier type condition. Our aim is to show that the inviscid limit is a solution of the Euler equations, satisfying the Navier type condition on the in ow zone of the walls.

KW - inviscid limit

KW - boundary layer

KW - Euler equations

KW - Navier-Stokes

KW - permeable wall

U2 - 10.1016/j.aml.2014.02.012

DO - 10.1016/j.aml.2014.02.012

M3 - Article

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SP - 6

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JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

IS - NA

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