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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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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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