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ID 20098
file
creator
subject
Ideal fluid flows on a torus
Weierstrass ζ-function
Energy of a flow
abstract
Westudy an ideal fluid flow on a torus described by the Weierstrass ζ-function. In spite of the analogy of this function to the Joukowski transformation on the plane the convex (planar) domain bounded by two streamlines passing through the stagnation points is not a disk. The energy of the flow outside the convex domain is generally nonlinear function of the strength of the dipole; in fact the energy is in only two cases a linear function of the strength, and otherwise it is a quadratic function.
journal title
Nonlinear Analysis
volume
Volume 47
issue
Issue 8
start page
5467
end page
5477
date of issued
2001-08
publisher
Elsevier
issn
0362-546X
ncid
publisher doi
language
eng
nii type
Journal Article
HU type
Journal Articles
DCMI type
text
format
application/pdf
text version
author
rights
Copyright (c) 2001 Elsevier Science Ltd
relation url
department
Graduate School of Engineering



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