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Questions d'hydrodynamique
Annales de la Faculté des sciences de Toulouse : Mathématiques, Serie 1, Volume 1 (1887) no. 4, pp. 57-80.
@article{AFST_1887_1_1_4_57_0,
     author = {Marcel Brillouin},
     title = {Questions d'hydrodynamique},
     journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques},
     pages = {57--80},
     publisher = {Gauthier-Villars, Imprimeur-Libraire},
     address = {Paris},
     volume = {1e s{\'e}rie, 1},
     number = {4},
     year = {1887},
     doi = {10.5802/afst.16},
     language = {fr},
     url = {https://afst.centre-mersenne.org/articles/10.5802/afst.16/}
}
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Marcel Brillouin. Questions d'hydrodynamique. Annales de la Faculté des sciences de Toulouse : Mathématiques, Serie 1, Volume 1 (1887) no. 4, pp. 57-80. doi : 10.5802/afst.16. https://afst.centre-mersenne.org/articles/10.5802/afst.16/

N. B. - Pour ne pas allonger indéfiniment cette liste, on a laissé de côté presque tous les Mémoires relatifs aux mouvements continus sans rotation élémentaire. I. - Traités généraux et Collections de Mémoires étrangers. 1877. Kirchhoff ...... Vorlesungen über mathematische Physik. - Zweite Auflage. (Leipsig, Teubner.)

1879. H. Lamb..... A Treatise on the mathematical theory of the motion of fluids. (Cambridge, University Press.)

1879. Stokes ..... Mathematical and physical Papers. (Cambridge, University Press.)

1882. Helmholtz..... Wissenschaftliche Ahhandlungen. (Leipsig, Barth.)

1882. Kirchhoff ...... Gesammelte Abhandlungen. (Leipsig, Barth.)

1883. J.-J. Thomson... A Treatise on the motion of vortex-rings. (London, Macmillan.) | JFM: 15.0854.02

1883. Sir W. Thomson and Tait.... Treatise on natural Philosophy. New edition. (Cambridge, University Press.) | JFM: 15.0767.01

II. - Équations générales de l'Hydrodynamique. 1827. Cauchy..... Mémoire sur la théorie des ondes. (Mém. Sav. étr.)

1857. Clebsch ..... Ueber eine allgemeine Transformation der hydrodynamischen Gleichungen. (Crelle J., LIV.)

1858. Helmholtz ..... Ueber Integrale der hydrodynamischen Gleichungen, welche den Wirbelbewegungen entsprechen. ( Crelle J., LV.) | Zbl: 055.1448cj

1859. Clebsch ..... Ueber die Integration der hydrodynamischen Gleichungen. (Crelle J., LVI.) | Zbl: 056.1468cj

1862. Stefan..... Ueber die Bewegung flüssiger Körper. (Sitz. Ak. Wiss. Wien., XLVI.)

1868. J. Bertrand et Helmholtz Discussion. (C. R., LXVI, LXVII.)

1868. W. Thomson .... On vortex motion. (Tr. R. S. Ed., XXV.)

1868. Weber......... Ueber eine Transformation der hydrodynamischen Gleichungen. (Crelle J., LXVIII.)

1870. Cockle ..... On the motion of fluids. (Q. J., X-XI.) | JFM: 02.0729.01

1870. Veltman..... Die Helmholz'sche Theorie der Flüssigkeitswirbel. (Schlöm. Zeitsch. f. Math. Phys., XV.) | JFM: 02.0730.01

1871-1872-1873. Beltrami. Sui principii fundamentali dell' Idrodinamica razionale (Ire, 2e, 3e P.) . (Mem. di Bologna, I, II, III.) | JFM: 08.0610.02

1873. Bobylew..... Einige Betrachtungen über die Gleichungen der Hydrodynamik. (Clebsch Ann., VI.) | JFM: 05.0490.01

1874. E. Beltrami .... Sui principii fundamentali dell' Idrodinamica razionale (4e P.). (Mem. di Bologna, V.)

1876. Beltrami ....... Intorno al moto piano di un disco ellitico in fluido. (Rend. Bologna, I875-I876.) | JFM: 08.0613.02

1876. Cotterill ..... On the distribution of energy in a mass of liquid in a state of steady motion. (Ph. Mag., I.)

1877. Hicks ..... Quaternion investigations on strains and fluid motion. (Q. J., XIV.)

1878. Lamb..... On the conditions of steady motion of a fluid. (Pr. L. M. S., IX.) | JFM: 10.0640.01

1879. Muller..... Einleitung in die Hydrodynamic. (Wolf Zeitsch., XXVIII.)

1880. Graetz..... Ueber Wirbelbewegungen in compressiblen Flüssigkeiten. (Schlöm. Zeitsch. f. Math. Phys., XXV.) | JFM: 12.0698.04

1880. Hill..... Some properties of the equations of Hydrodynamics. (Q. J., XVII.) | JFM: 12.0690.01

1880. Rowland..... On the motion of a perfect incompressible fluid, when no solid bodies are present. (Am. J., III.) | JFM: 12.0691.01

1880. Margules..... Ueber discrete Wirbelfäden. ( Wien. Ber., LXXXI.) | JFM: 12.0698.02

1881. Craig ..... Methods and Results. - General properties of the equations of steady motion. ( U. St. Coast and Geodetic Survey.)

1881. Hicks ..... Report on recent progress in Hydrodynamics. (Br. Ass. Rep.)

1881. Paci ..... Sopra una trasformazione delle equazioni fondamentali della Idrodinamica. (N. Cim., IX.)

1883. Gilbert ..... Transformation des équations de l'Hydrodynamique. (Ann. Soc. Sc. Brux., VII.) | JFM: 15.0841.01

1884. Bjerkness..... Les équations hydrodynamiques et les relations supplémentaires (Acta math., IV). | JFM: 16.0823.01

1885. Lamb..... Hydrodynamical theorem. (Mess., XIV.) | JFM: 16.0837.02

1885. Nanson..... Note on Hydrodynamics. (Mess., XIV.)

III. - Expériences sur les tourbillons. 1858. W. Rogers..... On the formation of rotating rings by air and liquids under certain conditions of discharge. (Am. J. Arts and Sc., XXVI. )

1860. Reusch..... Ueber Ringbildung in Flüssigkeiten. (Pogg. Ann., CX.)

1864. Tomlinson ..... On a new variety of cohesion figures. (Ph. Mag., XXVII, XXVIII.)

1868. Ball..... On vortex rings in air. (Ph. Mag., XXXVI.) - Sur les couronnes de fumée. (Ann. Ch. Ph., XV.) - Sur les anneaux tourbillons dans l'air. (Les Mondes, XVII.)

1871. Ball..... Experiments upon the retardation experienced by vortex rings of air when moving through air. (Ph. Trans. Ir. Ac., XXV.) - Account of experiments upon the resistance of air to the motion of vortex-rings. (Ph. Mag., XLII.)

1871. Deacon..... Ring vortices in water. (Chem. news, XXIV.)

1876. O. Reynolds .... On the resistance encontered by vortex-rings, and the relation between the vortex-rings and streamlines of a dise. (Nat., XIV.)

1876. O. Reynolds .... On the action of rain to calm the sea. (Proc. Manch. Soc., XIV.)

1877. O. Reynolds.... On vortex in fluids. (Nat., XV.)

1877. Trowbridge..... On liquid vortex-rings. (Ph. Mag., III.)

1879. Giesen ..... Oscillationen einer homogenen Flüssigkeitsmasse in Folge ihrer Oberflächenspannung. (Schlöm. Zeitsch. f. Math. Phys., XXIV.) | JFM: 11.0684.02

1881. Guebhardt..... Sur les tourbillons annulaires des liquides et des gaz. (Ass. fr., I879; La Nat.)

1885 J.-J. Thomson and Newall On the formation of vortex-rings by drops falling into liquids and some allied phenomena. (Pr. R. S. L., XXXIX.)

IV. - Mouvement sans rotation des fluides autour des solides. 1863. Rankine ........ On plane water lines in two dimensions. (Ph. Trans.)

1864. Rankine ..... Summary of the properties of certain stream lines. (Ph. Mag., XXVIII.)

1870. Maxwell....... On the displacement in a case of fluid motion. (Pr. L. M. S., III.) | JFM: 03.0474.01

1871. Rankine ..... On the mathematical theory of stream lines, especially with four foci and upwards. (Ph. Tr. R. S. L., CLXI.) | JFM: 03.0487.02

1874. F.-D. Thomson .. Some cases of fluid motion. (Mess., III, IV.)

1874. Ferrers ..... On the motion of a mass of water about a moving cylinder. (Q. J., XIII.) | JFM: 06.0628.01

1875. Ferrers ..... On the motion of an infinite mass of water about a moving ellipsoïd. (Q. J., XIII.) | JFM: 07.0584.01

1877. Lamb..... On some hydrodynamical solutions. (Q. J., XIV.) | JFM: 07.0585.01

1878. Beltrami ....... Intorno ad un caso di moto a due coordinate. (Rend. Inst. Lomb., XI.) | JFM: 10.0646.01

1878. Ferrers ..... Solution of certain questions in potentials and motion of liquids. (Q. J., XIV.) | JFM: 09.0671.03

1878. Greenhill ...... Fluid motion in a rotating quadrantal cylinder. (Mess., VIII.) | JFM: 10.0641.01

1878. Hicks ..... On velocity and electric potentials between parallel planes. (Q. J., XV.) | JFM: 10.0726.01

1878. Hicks..... Fluid motion in a rotating semicircular cylinder. (Mess., VIII.) | JFM: 10.0640.03

1879. Greenhill ...... Fluid motion between confocal elliptic cylinders and confocal ellipsoïds. (Q. J., XVI.) | JFM: 11.0675.03

1879. Greenhill ...... Fluid motion in a rotating rectangle formed by two concentric circular arcs and two radii. (Q. J., XVI.)

1880. Ferrers..... On the motion of water contained in certain cylindrical vessels and on certain analytical theorems connected with that problem. (Q. J., XVII.) | JFM: 12.0697.01

1880. Hicks .......... On functional images in ellipses. (Q. J., XVII.) | JFM: 13.0784.01

1881. Hicks ..... On toroidal functions. (Ph. Tr. Lond., CLXX.) | JFM: 14.0799.02

1881. Routh..... Some applications of conjugate functions. (Pr. L. M. S., XIII.) | JFM: 13.0720.01

1882. Saint-Venant ... Mouvement dans un vase d'où sort un liquide par un petit trou. (C. R., XCIV.)

1883. Basset ..... On the motion of a liquid in and about cylinders whose transverse sections are the inverses of confocal ellipses with respect to their centre. (Q. J., XIX.) | JFM: 15.0843.01

1883. Basset ......... On certain physical problems connected with surfaces which are the inverses of ellipsoïds of revolution. (Q. J., XIX.) | JFM: 15.0867.01

1885. Basset ......... On the velocity potential due to the motion of an infinite liquid about a spherical bowl. (Pr. L. M. S., XVI.) | JFM: 17.1052.01

V. - Mouvements des tourbillons dans les liquides. - Vibrations. - Vortex-atomes. 1867. W. Thomson.... Vortex-atoms. (Pr. R. S. Ed., VI; Ph. Mag., XXXIV.)

1875. W. Thomson.... On two-dimensional motion of mutually influencing vortex columns and on two-dimensional approximately motion of a liquid. - Titre seul. (Pr. Ed. S., IX.)

1876. W. Thomson.... On vortex motion. - On the ultramundane corpuscules of Lesage. (Proc. Ed. S., VII; Ph. Mag., 5e série, I.)

1876. W. Thomson .... A mechanical illustration of the vibrations of a triad of columnar vortices. - Titre. (Proc. R. S. Ed., IX.)

1876. W. Thomson.... On the vortex theory of gases, of the condensation of gases on solids and of the continuity between the gaseous and liquid state of matter. - Titre. (Pr. R. S. Ed., IX.)

1877. Greenhill ..... Plane vortex motion. (Q. J., XV.) | JFM: 09.0673.01

1877. Groebli..... Specielle Probleme über die Bewegung geradliniger paralleler Wirbelfäden. (Wolff Zeitsch., XXII.) | JFM: 09.0675.01

1878. Coates..... Vortex motion in and about elliptic cylinders. (Q. J., XV, XVI.) | JFM: 10.0642.01

1879. Coates..... On circular vortex-rings. (Q. J., XVI.) | JFM: 11.0679.01

1879. Lewis..... On the images of vortices in a spherical vessel. (Q. J., XVI.) | JFM: 11.0679.02

1879. Lewis ..... Some cases of vortex motion. (Mess., IX.) | JFM: 11.0681.02

1880. W. Thomson.... Vibrations of columnar vortex. (Pr. Ed., X; Ph. Mag., X.) | JFM: 12.0698.01

1880. W. Thomson.... On vortex statics. (Ph. Mag., X.) | JFM: 12.0697.03

1880. W. Thomson.... On an experimental illustration of minimum energy in vortex motion. (Br. Ass. Rep.; Nat., XXIII.)

1882. J.-J. Thomson... On the vibrations of a vortex-ring and the action upon each other of two vortices in a perfect fluid. (Ph. Tr. L., CLXXIII.) | JFM: 14.0776.01

1883. Hicks..... On the steady motion of a hollow vortex. (Pr. R. S. L., XXXV.) | JFM: 15.0857.01

1884. Hicks.... On the steady motion and small vibrations of a hollow vortex. (Ph. Tr. L., CLXXV.) | JFM: 16.0839.02

1884. Hill ........... The differential equations of cylindrical and annular vortices. (Pr. L. M. S., XVI.) | JFM: 17.0907.01

1885. J.-J. Thomson . The vortex-ring theory of gases. On the law of the distribution of energy among the molecules. (Pr. R. Soc. L., XXXIX.) | JFM: 17.1098.02

VI. - Mouvement d'un solide non percé dans un liquide. 1852. Dirichlet..... Ueber einige Fälle in welchen sich die Bewegung eines festen Körpers in einem incompressibeln flüssigen Medium theoretisch bestimmen lässt. (Berl. Monatsber.)

1854. Hoppe..... Vom Widerstande der Flüssigkeiten gegen die Bewegung fester Körper. (Pogg. Ann., XCIII.)

1856-1857. Clebsch.... Ueber die Bewegung eines Ellipsoïds in einer tropfbaren Flüssigkeit. (Crelle J., LII et LIII.)

1870. Clebsch..... Ueber die Bewegung eines Körpers in einer Flüssigkeit. (Math. Ann., III.) | JFM: 02.0733.01

1870. Kirchhoff..... Ueber die Bewegung eines Rotationskörpers in einer Flüssigkeit. (J. Borch., LXXI; Abh.) | JFM: 02.0731.01

1870. W. Thomson.... On the forces experienced by solids immersed in a moving liquid. (Pr. R. S. Ed., VII.) | JFM: 07.0586.05

1871. W. Thomson.... Hydrokinetic solutions and observations. On the motion of free solids through a liquid. (Pr. R. S. Ed., VII; Ph. Mag., XLII.) | JFM: 07.0586.04

1873. Bjerkness..... Verallgemeinerung des Problems von dem ruhenden Ellipsoid in einer bewegten unendlichen Flüssigkeit. (Gött. Nachr.) | JFM: 05.0491.02

1873. Bjerkness..... Verallgemeinerung des Problems von den Bewegungen welche in einer ruhenden, unelastischen Flüssigkeit die Bewegung eines Ellipsoïds hervorbringt. (Gött. Nachr.) | JFM: 05.0491.03

1873. Michaelis..... Mouvement d'un solide dans un liquide. (Arch. néerl., VIII.) | JFM: 05.0495.01

1877. Lamb..... On the motion of a solide through an infinite mass of liquid. (Pr. L. M. S., VIII.) | JFM: 09.0671.01

1877. Kopcke..... Zur Discussion der Bewegung eines Rotationskörpers in einer Flüssigkeit. (Math. Ann., XII.) | JFM: 09.0670.01

1877. Lord Rayleigh.. On the irregular flight of a tennis-ball. (Messenger, VII.) | JFM: 09.0656.03

1878. Greenhill..... On the motion of a top and allied problems in Dynamics. (Q. J., XV.) | JFM: 09.0656.01

1878. Purser ..... On the applicability of Lagrange's equations in certain cases of fluid motion. (Ph. Mag., 5e série, VI.)

1879. Craig..... On the motion of a solid in a fluide (Am. J., II.) | JFM: 11.0675.01

1879. Craig..... On the motion of an ellipsoïd in a fluide (Am. J., II.) | JFM: 11.0675.02

1879. Greenhill ..... Notes on Hydrodynamics. (Mess., IX.) | JFM: 11.0677.02

1880. Greenhill ..... On the steady motion of a top and of a solid of revolution moving in an infinite liquida (Q. J., XVII.) | JFM: 12.0696.03

1882. Lamb..... On the forces experienced by a solid moving in an infinite mass of liquid. (Q. J., XIX.) | JFM: 14.0778.01

1882. Schulke ........ Die Bewegung eines Rotationskörpers in einer incompressiblen Flüssigkeit. (Arch. f. Math. Phys., LXVIII.) | JFM: 14.0779.01

1882. Weber ..... Anwendung der Thetafunctionen zwei Veränderlicher auf die Theorie der Bewegung eines festen Körpers in einer Flüssigkeit. (Math. Ann., XIV.) | JFM: 10.0643.01

1883. Kolaceck ..... Ueber Schwingungen fester Körper in Flüssigkeiten. (Wien. Ber., LXXXVII.) | JFM: 15.0857.02

VII. - Mouvement d'un solide percé ou de plusieurs solides. 1869. Bjerkness..... Om omsœtning af oscillatoriske bewœgelser i progressive. (Vidensk. Selsk. Forhandl., XI.)

1869. Bjerkness..... Om den samtidige bewægelse af kugleformige legemer i incompressibelt fluidum. (Skand.Naturforsk.Forhandl., X.) | JFM: 02.0735.01

1869. Kirchhoff ...... Ueber die Kräfte welche zwei unendlich dünne starre Ringe in einer Flüssigkeit scheinbar auf einander ausüben können. (Crelle J., LXXI.) | JFM: 02.0681.03

1871. Boltzmann..... Ueber die Druckkräfte welche auf Ringe wirksam sind die in bewegte Flüssigkeit tauchen. (Crelle J., LXXIII.) | JFM: 03.0451.01

1873. Bjerkness..... Geschichtliche Notizen über das Dirichlet'sche Kugel- und Ellipsoid-Problem. (Gött. Nachr.) | JFM: 05.0491.01

1873. W. Thomson .... On the motion of rigid solids in a liquid circulating irrotationnally through perforations in them or in any fixed solid. (Proc. R. S. Ed., VII; Ph. Mag., XLV.) | JFM: 07.0586.01

1878. Hicks .......... On the motion of two cylinders in a fluid. (Rep. Br. Ass.) | JFM: 10.0646.02

1879. Hicks .......... On the motion of two cylinders in a fluid. (Q. J., XVI.) | JFM: 11.0676.01

1879. Godecker..... Die Bewegung eines kreisförmigen Ringes in einer unendlichen incompressiblen Flüssigkeit. (Göttingen.) | JFM: 11.0673.01

1880. Hicks..... On the condition of steady motion of two cylinders in a fluid. ( Q. J., XVII.) | JFM: 12.0696.02

1880. Hicks .......... On the problem of two pulsating spheres in a fluid. (Pr. M. S. Cambr., IV.) | JFM: 12.0695.01

1880. Hicks..... On the motion of two spheres in a fluid. (Ph. Tr., CLXXI.) | JFM: 12.0694.01

VIII. - Mouvements discontinus. 1868. Helmholtz..... Ueber discontinuirliche Flüssigkeitsbewegungen. (Berl. Mon.; Abh.) | JFM: 01.0341.03

1869. Kirchhoff ..... Zur Theorie freier Flüssigkeitsstrahlen. (J. Borch., LXX.) | JFM: 02.0730.02

1873. Helmholtz..... Ein Theorem über geometrisch ähnliche Bewegungen flüssiger Körper nebst Anwendungen auf das Problem Luftballons zu lenken. (Berl. Mon.; Abh.) | JFM: 05.0488.02

1874. Hanlon and Maxwell..... The vena contracta. (Proc. L. M. S., III.) | JFM: 03.0482.02

1876. Lord Rayleigh.. Notes on Hydrodynamics. - On the resistance of fluids. (Ph. Mag., II.)

1877. Christoffel..... Untersuchungen über die mit dem Fortbestehen linearer Differentialgleichungen verträglichen Unterstetigkeiten. (Brioschi Ann., VIII.) | JFM: 09.0663.01

1877. Oberbeck..... Ueber discontinuirliche Flüssigkeitsbewegung. (Pogg. A., II.) | JFM: 09.0677.02

1879. Stearn..... Vortex sheets. ( Q. J., XVI.) | JFM: 11.0680.01

1884. Planck..... Zur Theorie der Flüssigkeitsstrahlen. (Wied. Ann., XXI.) | JFM: 16.0829.02

1884. Reiff ..... Ueber stationäre Strömung auf krummen Flächen. (Beibl.) | JFM: 16.0829.01

1884. Tait..... On vortex motion. (Pr. R. S. Ed., XII.) | JFM: 17.1100.02

1885. Kotschau..... Studien der Flüssigkeitsbewegungen. (Wied. Ann., XXVI.)

IX. - Stabilité des mouvements tourbillonnaires et discontinus. 1871. W. Thomson.... On the influence of wind on waves in water supposed frictionless. (Ph. Mag., 4e série, XLII.)

1876. W. Thomson.... On vortex vibrations and on instability of vortex motions. - Titre. (Proc. R. S. Ed., IX.)

1878. Rayleigh ....... On the instability of jets. (Pr. L. M. S., X.) | JFM: 11.0685.01

1878. Rayleigh..... On the stability or instability of certain fluid motions. (Pr. L. M. Soc., XI.) | JFM: 12.0711.02

1880. W. Thomson .... On a disturbing infinity in lord Rayleigh's solution for waves in a plane vortex stratum. (Nat., XXIII.)

1880. W. Thomson.... On maximum and minimum energy in vortex motion. (Br. Ass. Rep.; Nat., XXII.)

1882. Rayleigh..... Liquid jets. (Pr. R. S. L., XXXIV.)

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