H2 solutions for the stream function and vorticity formulation of the Navier-Stokes equations

Mohamed A. El-Gebeily; Faisal Fairag; Rajai Alassar; M. B.M. Elgindi

doi:10.1016/j.amc.2005.09.098

H² solutions for the stream function and vorticity formulation of the Navier-Stokes equations

Mohamed A. El-Gebeily
, Faisal Fairag
, Rajai Alassar
, M. B.M. Elgindi^*

^*Corresponding author for this work

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

Abstract

We show that the two dimensional Navier-Stokes equations in the stream function and vorticity form with nonhomogeneous boundary conditions have a unique solution with a stream function having two space derivatives.

Original language	English
Pages (from-to)	686-696
Number of pages	11
Journal	Applied Mathematics and Computation
Volume	177
Issue number	2
DOIs	https://doi.org/10.1016/j.amc.2005.09.098
State	Published - 15 Jun 2006

Bibliographical note

Funding Information:
The first two authors would like to thank King Fahd University of Petroleum and Minerals for supporting this research under Grant MS/SPHERICITY/225.

Keywords

Nonhomogeneous Navier-Stokes equations
Stream function
Vorticity

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

Access to Document

10.1016/j.amc.2005.09.098

Cite this

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title = "H2 solutions for the stream function and vorticity formulation of the Navier-Stokes equations",

abstract = "We show that the two dimensional Navier-Stokes equations in the stream function and vorticity form with nonhomogeneous boundary conditions have a unique solution with a stream function having two space derivatives.",

keywords = "Nonhomogeneous Navier-Stokes equations, Stream function, Vorticity",

author = "El-Gebeily, \{Mohamed A.\} and Faisal Fairag and Rajai Alassar and Elgindi, \{M. B.M.\}",

note = "Funding Information: The first two authors would like to thank King Fahd University of Petroleum and Minerals for supporting this research under Grant MS/SPHERICITY/225.",

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journal = "Applied Mathematics and Computation",

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AU - El-Gebeily, Mohamed A.

AU - Fairag, Faisal

AU - Alassar, Rajai

AU - Elgindi, M. B.M.

N1 - Funding Information: The first two authors would like to thank King Fahd University of Petroleum and Minerals for supporting this research under Grant MS/SPHERICITY/225.

PY - 2006/6/15

Y1 - 2006/6/15

N2 - We show that the two dimensional Navier-Stokes equations in the stream function and vorticity form with nonhomogeneous boundary conditions have a unique solution with a stream function having two space derivatives.

AB - We show that the two dimensional Navier-Stokes equations in the stream function and vorticity form with nonhomogeneous boundary conditions have a unique solution with a stream function having two space derivatives.

KW - Nonhomogeneous Navier-Stokes equations

KW - Stream function

KW - Vorticity

UR - https://www.scopus.com/pages/publications/33745004666

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DO - 10.1016/j.amc.2005.09.098

M3 - Article

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