Error bounds for semi-Galerkin approximations of nonhomogeneous incompressible fluids

Pablo Braz E Silva; Marko Rojas-Medar

doi:10.1007/s00021-007-0255-9

Error bounds for semi-Galerkin approximations of nonhomogeneous incompressible fluids

Pablo Braz E Silva
, Marko Rojas-Medar

Universidade Federal de Pernambuco
Facultad de Ciencias

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

5 Scopus citations

Abstract

We consider spectral semi-Galerkin approximations for the strong solutions of the nonhomogeneous Navier-Stokes equations. We derive an optimal uniform in time error bound in the H ¹ norm for approximations of the velocity. We also derive an error estimate for approximations of the density in some spaces L ^r .

Original language	English
Pages (from-to)	186-207
Number of pages	22
Journal	Journal of Mathematical Fluid Mechanics
Volume	11
Issue number	2
DOIs	https://doi.org/10.1007/s00021-007-0255-9
State	Published - Jun 2009
Externally published	Yes

Keywords

Navier-Stokes equations
Nonhomogeneous fluids
Semi-Galerkin

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10.1007/s00021-007-0255-9

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title = "Error bounds for semi-Galerkin approximations of nonhomogeneous incompressible fluids",

abstract = "We consider spectral semi-Galerkin approximations for the strong solutions of the nonhomogeneous Navier-Stokes equations. We derive an optimal uniform in time error bound in the H 1 norm for approximations of the velocity. We also derive an error estimate for approximations of the density in some spaces L r .",

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author = "\{Braz E Silva\}, Pablo and Marko Rojas-Medar",

year = "2009",

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T1 - Error bounds for semi-Galerkin approximations of nonhomogeneous incompressible fluids

AU - Braz E Silva, Pablo

AU - Rojas-Medar, Marko

PY - 2009/6

Y1 - 2009/6

N2 - We consider spectral semi-Galerkin approximations for the strong solutions of the nonhomogeneous Navier-Stokes equations. We derive an optimal uniform in time error bound in the H 1 norm for approximations of the velocity. We also derive an error estimate for approximations of the density in some spaces L r .

AB - We consider spectral semi-Galerkin approximations for the strong solutions of the nonhomogeneous Navier-Stokes equations. We derive an optimal uniform in time error bound in the H 1 norm for approximations of the velocity. We also derive an error estimate for approximations of the density in some spaces L r .

KW - Navier-Stokes equations

KW - Nonhomogeneous fluids

KW - Semi-Galerkin

UR - https://www.scopus.com/pages/publications/67949103660

U2 - 10.1007/s00021-007-0255-9

DO - 10.1007/s00021-007-0255-9

M3 - Article

AN - SCOPUS:67949103660

SN - 1422-6928

VL - 11

SP - 186

EP - 207

JO - Journal of Mathematical Fluid Mechanics

JF - Journal of Mathematical Fluid Mechanics

IS - 2

ER -

Error bounds for semi-Galerkin approximations of nonhomogeneous incompressible fluids

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Keywords

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