Rotating drops in a vessel
G. Congedo; M. Emmer; E. H. A. Gonzalez
Rendiconti del Seminario Matematico della Università di Padova (1983)
- Volume: 70, page 167-186
- ISSN: 0041-8994
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topCongedo, G., Emmer, M., and Gonzalez, E. H. A.. "Rotating drops in a vessel." Rendiconti del Seminario Matematico della Università di Padova 70 (1983): 167-186. <http://eudml.org/doc/107916>.
@article{Congedo1983,
author = {Congedo, G., Emmer, M., Gonzalez, E. H. A.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {rotating drops in a vessel; fluid rotates with a constant angular velocity; energy; volume terms of gravity and kinetic forces; surface contributions; minimize the energy functional; regularity of the equilibrium configurations},
language = {eng},
pages = {167-186},
publisher = {Seminario Matematico of the University of Padua},
title = {Rotating drops in a vessel},
url = {http://eudml.org/doc/107916},
volume = {70},
year = {1983},
}
TY - JOUR
AU - Congedo, G.
AU - Emmer, M.
AU - Gonzalez, E. H. A.
TI - Rotating drops in a vessel
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1983
PB - Seminario Matematico of the University of Padua
VL - 70
SP - 167
EP - 186
LA - eng
KW - rotating drops in a vessel; fluid rotates with a constant angular velocity; energy; volume terms of gravity and kinetic forces; surface contributions; minimize the energy functional; regularity of the equilibrium configurations
UR - http://eudml.org/doc/107916
ER -
References
top- [1] S. Albano - E.H.A. Gonzalez, Rotating Drops, to appear in Indiana Univ. Mat. J. Zbl0568.76099MR711861
- [2] J. Bastin - J. Ross - K. Stewart, The numerical analysis of the rotational theory for the formation of lunar globules, Proc. of the 2nd Int. Coll. on « Drops and Bubbles », Monterey, Nov. 1981, edited by D. H. Le CROISETTE, Jet Prop. Lab., Calif. Inst. of Tech., Pasadena, (1982), pp. 350-357.
- [3] R.A. Brown - L.E. Scriven, The shapes and Stability of Captive Rotating Drops », Phil. Trans. Roy. Soc., 297 (1980), p. 51. Zbl0438.76040MR581633
- [4] D.J. Collins - M.S. Plesset - M.M. Saffren, Editors, Proc. of the Int. Coll. on Drops and Bubbles, Jet Prop. Lab., Calif. Inst. of Tech., Pasadena, 1974.
- [5] W.F. Coombs - H.A. Knoll, Spincasting contact lenses (Bausch & Lamb Incorporated, Rochester, N.Y.). Reprinted from Optical Engineering, July-August, 1976.
- [6] E. De Giorgi - F. Colombini - L. Piccinini, Frontiere orientate di misura minima e questioni collegate, Editrice Tecnico Scientifica, Pisa, 1972. Zbl0296.49031
- [7] E. De Giorgi, Sulla proprietà isoperimetrica dell'ipersfera, nella classe degli insiemi aventi frontiera orientata di misura finita, Acc. Lincei, Memorie Scienze fisiche ecc., serie VII, 5, sez. 1, 2 (1958). Zbl0116.07901
- [8] M. Emmer, Esistenza, unicità e regolarità nelle superfici di equilibrio nei capillari, Ann. Univ. Ferrara, 18 (1973), pp. 79-94. Zbl0275.49005MR336507
- [9] M. Emmer, On the Behaviour of the surface of Equilibrium in the Capillary Tubes when Gravity goes to zero, Rend. Sem. Mat. Univ. Padova, 65 (1981), pp. 143-162. Zbl0498.76014MR653291
- [10] M. Emmer - E.H.A. Gonzalez - I. Tamanini, A Variational Approach to capillarity phenomena, Proc. of The 2nd Int. Coll. on «Drops and Bubbles », Monterey, Nov. 1981, edited by D. H. LE CROISSETTE, Jet Prop. Lab., Calif.Inst. of Tech., Pasadena, (1982), pp. 374-379.
- [11] M. Emmer - E.H.A. Gonzalez - I. Tamanini, Perimeter and Capillarity phenomena, to appear in « Free Boundary problems: theory and applications », edited by A. FASANO, M. PRIMICERIO, Pitman's Research Notes in Math. Zbl0534.49028
- [12] R. Finn, Capillarity Phenomena, Russian Math. Surveys, 29 (1974), pp. 133-153. Zbl0341.76013MR484001
- [13] C. Gerhardt, On the Capillarity problem with constant volume, Ann. Sc. Norm. Sup. Pisa, serie IV, 2 (1975), pp. 303-320. Zbl0321.76010MR390897
- [14] E. Giusti, Minimal surfaces and functions of bounded variation, Notes on Pure Math., Canberra, 10 (1977). Zbl0402.49033MR638362
- [15] E. Giusti, The Equilibrium configuration of liquid drops, J. Reine Angew. Math., 321 (1981), pp. 53-63. Zbl0438.76078MR597979
- [16] E.H.A. Gonzalez, Sul problema della goccia appoggiata, Rend. Sem. Mat. Univ. Padova, 55 (1976), pp. 289-302. Zbl0361.49027MR493670
- [17] E.H.A. Gonzalez - U. Massari - I. Tamanini, Existence and Regularity for the problem of a Pendent Drop, Pacific J. of Math., 88 (1980), n. 2, pp. 399-420. Zbl0415.49028MR607987
- [18] E.H.A. Gonzalez - U. Massari - I. Tamanini, On the Regularity of Boundaries of Sets minimizing Perimeter with a Volume Constraint, to appear in Indiana Univ. Mat. J. Zbl0486.49024MR684753
- [19] E.H.A. Gonzalez - G. Greco, Una nuova dimostrazione della proprietà isoperimetrica dell'ipersfera nella classe degli insiemi aventi perimetro finito, Ann. Univ. Ferrara, serie VII, 23 (1977), pp. 251-256. Zbl0375.28016MR467475
- [20] J.T. Jenkins, The free spin Surface in a Rotating circular Cylinder, to appear.
- [21] D.H. Le Croisette, Editor «Proc. of the 2nd Int. Coll. on "Drops and Bubbles" », Jet Prop. Lab., Calif. Inst. of Tech., Pasadena, 1982.
- [22] M. Miranda, Distribuzioni aventi derivate misure ed insiemi di perimetro localmente finito, Ann. Sc. Norm. Sup. Pisa, 18, Serie III (1964), pp. 27-56. Zbl0131.11802MR165073
- [23] I. Tamanini, Il problema della capillarità su domini non regolari, Rend. Sem. Mat. Univ. Padova, 56 (1977), pp. 169-191. Zbl0406.76031MR483992
- [24] J. Taylor, The structure of singularities in soap-bubble-like and soapfilmlike minimal surfaces, Ann. of Math., 103 (1976), pp. 489-539. Zbl0335.49032MR428181
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