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

Mohamed A. El-Gebeily, Faisal Fairag, Rajai Alassar, Mohamed Elgindi

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)686-696
Number of pages11
JournalApplied Mathematics and Computation
Volume177
Issue number2
DOIs
Publication statusPublished - 15 Jun 2006
Externally publishedYes

Fingerprint

Stream Function
Vorticity
Navier Stokes equations
Navier-Stokes Equations
Nonhomogeneous Boundary Conditions
Formulation
Unique Solution
Boundary conditions
Derivatives
Derivative
Form

Keywords

  • Nonhomogeneous Navier-Stokes equations
  • Stream function
  • Vorticity

ASJC Scopus subject areas

  • Applied Mathematics
  • Computational Mathematics
  • Numerical Analysis

Cite this

H2 solutions for the stream function and vorticity formulation of the Navier-Stokes equations. / El-Gebeily, Mohamed A.; Fairag, Faisal; Alassar, Rajai; Elgindi, Mohamed.

In: Applied Mathematics and Computation, Vol. 177, No. 2, 15.06.2006, p. 686-696.

Research output: Contribution to journalArticle

El-Gebeily, Mohamed A. ; Fairag, Faisal ; Alassar, Rajai ; Elgindi, Mohamed. / H2 solutions for the stream function and vorticity formulation of the Navier-Stokes equations. In: Applied Mathematics and Computation. 2006 ; Vol. 177, No. 2. pp. 686-696.
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