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Marris, A. W.

On circulation-preserving motions with lamellar vorticity. (English) Zbl 0497.76034

Z. Angew. Math. Phys. 33, 124-131 (1982).
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MSC:

76B47 Vortex flows for incompressible inviscid fluids

Keywords:

isochoric circulation preserving motions; steady; lamellar; constant magnitude on vortex line; plane motions; particular circular-helical motion

Citations:

Zbl 0264.76021; Zbl 0331.34041; Zbl 0016.25701
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\textit{A. W. Marris}, Z. Angew. Math. Phys. 33, 124--131 (1982; Zbl 0497.76034)
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References:

[1] G. Hamel,Potentialströmungen mit konstanter Geschwindigkeit. Sitzungsber. Preuss. Akad. Wiss., Phys.-Math. K1. 5-20 (1937).
[2] A. W. Marris and J. F. Shiau,Hamel’s theorem: the three polynomial integrals. Rendiconti Circolo Matematico di Palermo, Serie 11-Tomo XXII, 185-216 (1973). · Zbl 0331.34041
[3] A. W. Marris,Hamel’s theorem. Arch. Rat. Mech. Analysis51, 85-105 (1973). · Zbl 0264.76021
[4] A. W. Marris and W. F. Ames,Addendum: On complex-lamellar motions. Arch. Rat. Mech. Analysis64, 371-379 (1977). · Zbl 0355.76022
[5] A. W. Marris and M. P. Stallybrass,A class of fluid motions obtained by superposition. Atti Accademia Scienze di Torino, 1-Classe di Scienze Fisiche, Matematiche e Naturali113, 53-60, (1979). · Zbl 0437.76027
[6] R. Berker,Intégration des équations du mouvement d’un fluide visqueux incompressible. Handbuch d. Physik, Bd. VIII/2, Springer, Berlin 1963.
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.