Nonlinearity of energy of Rankine flows on a torus
Nonlinear Analysis Volume 47 Issue 8
Page 5467-5477
published_at 2001-08
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| File | |
| Title ( eng ) |
Nonlinearity of energy of Rankine flows on a torus
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| Creator | |
| Source Title |
Nonlinear Analysis
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| Volume | 47 |
| Issue | 8 |
| Start Page | 5467 |
| End Page | 5477 |
| 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.
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| Keywords |
Ideal fluid flows on a torus
Weierstrass ζ-function
Energy of a flow
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| Language |
eng
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| Resource Type | journal article |
| Publisher |
Elsevier
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| Date of Issued | 2001-08 |
| Rights |
Copyright (c) 2001 Elsevier Science Ltd
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| Publish Type | Author’s Original |
| Access Rights | open access |
| Source Identifier |
[ISSN] 0362-546X
[DOI] 10.1016/S0362-546X(01)00651-4
[NCID] AA00757060
[DOI] http://dx.doi.org/10.1016/S0362-546X(01)00651-4
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