The spirited horse, the engineer, and the mathematician: Water waves in nineteenth-century hydrodynamics

Archive for History of Exact Sciences

Volumn 58, Issue 1, 2003, Pages 21-95

  Darrigol, Olivier ^a  

^a CNRS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 14544279388     PISSN: 00039519     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00407-003-0070-5     Document Type: Article

References (140)

1. Airy, George Biddell 1838 "On the intensity of light in the neighborhood of a caustic," TCPS, 6 (1838), 379-402.
2. 1845 "Tides and waves," Encyclopedia Metropolitana, vol. 5 (1845), 291-396.
3. Bazin, Henri 1865 "Recherches expérimentales sur la propagation des ondes," MSE, 19 (1865), 495-652.
4. Belhoste, Bruno 1991 Augustin-Louis Cauchy: A biography (New York).
5. Bidone, George 1820 "Expériences sur le remou et sur la propagation des ondes," in Memorie della reale Accademia delle scienze di Torino, 25 (1820), 21-112.
6. Billingham J., and A.C. Konig 2000 Wave motion (Cambridge).
7. Boussinesq, Joseph 1872 "Théorie des ondes liquides périodiques," MSE, 20 (1872), 509-615 [presented to the French Academy on 19 Apr 1869].
8. 1871 "Théorie de l'intumescence liquide appellee onde solitaire ou de translation, se propageant dans un canal rectangulaire," CR, 72 (1871), 755-759.
9. 1872 "Théorie des ondes et des remous qui se propagent le long d'un canal rectangulaire horizonal, en communiquant au liquide contenu dans ce canal des vitesses sensiblement pareilles de la surface au fond" [presented to the Académie des Sciences on 13 Nov 1871] Journal de mathématiques pures et appliquées, 17 (1872), 55-108.
10. 1877 "Essai sur la théorie des eaux courantes," MSE, 23 (1877), 1-680.
11. Cartwright, David Edgar 1999 Tides: A scientific history (Cambridge).
12. Cauchy, Augustin 1818 "Seconde note sur les fonctions réciproques," Société Philomatique, Bulletin (1818), 178-180.
13. 1827 "Théorie de la propagation des ondes à la surface d'un fluide pesant d'une profondeur indéfinie," MSE, 1 (1827), 1-123.
14. Challis, James 1833 "Report on the present state of the analytical theory of hydrostatics and hydrodynamics," BAR (1833), 131-151.
15. Darrigol, Olivier 1998 "From organ pipes to atmospheric motions: Helmholtz on fluid mechanics, " HSPS 29, pp. 1-51.
16. 2002a "Between hydrodynamics and elasticity theory: The first five births of the Navier-Stokes equation, "AHES, 56 (2002), 95-150.
17. th -century hydrodynamics," HSPS, 32 (2002), 207-262.
18. 2002c "Stability and instability in nineteenth-century fluid mechanics," Revue d'histoire des mathématiques, 8 (2002), 5-65.
19. Earnshaw, Samuel 1849 "The mathematical theory of the two great solitary waves of the first order" [read on 8 Dec 1845], TCPS, 8 (1849), 326-341.
20. Emmerson, George 1977 John Scott Russell: A great Victorian engineer and naval architect (London).
21. Fourier, Joseph 1818 "Note relative aux vibrations des surfaces élastiques et au mouvement des ondes," Société Philomatique, Bulletin (1818), 129-135.
22. Froude, William 1862 "On the rolling of ships. Appendix 2: On the dynamical structure of oscillating waves," Institution of Naval Architects, Transactions, 3 (1862), 45-62.
23. Gerstner, Franz 1802 "Theorie de Wellen," Böhmische Gesellschaft der Wissenschaften, Abhandlungen,
24. also in Annalen der Physik, 32 (1809), 412-445.
25. 1804 Theorie der Wellen samt einer daraus abgeleiteten Theorie der Deichprofile (Prague).
26. Green, George 1838 "On the motion of waves in a variable canal of small depth and width," TCPS, 6 (1838), 457-462.
27. 1839 "Note on the motion of waves in canals," TCPS, 7 (1839), 87-96.
28. Havelock, Thomas Henry 1908 "The propagation of groups of waves in dispersive media, with applications to waves on water produced by a travelling disturbance," PRS, 81 (1908), 398-430.
29. Kelland, Philip 1840 "On the theory of waves," Royal Society of Edinburgh, Transactions, 14 (1840), 497-545.
30. 1844 "On the theory of waves. Part 2," Royal Society of Edinburgh, Transactions, 15 (1844), 101-144.
31. Korteweg, Diederik, and G. de Vries 1895 "On the change of form of long waves advancing in a rectangular canal, and on a new type of long stationary waves," PM, 39 (1895), 422-443.
32. Lagrange, Joseph Louis 1781 "Mémoire sur la théorie du mouvement des fluides," Académie de Berlin, Mémoires,
33. also in Lagrange 1867-1892, vol. 4, 695-748.
34. nd ed., vol. 2 (Paris, 1816),
35. also in Lagrange 1867-1892, vol. 12.
36. 1867-1892 Oeuvres, 14 vols. (Paris).
37. Lamb, Horace 1895 Hydrodynamics (Cambridge).
38. 1904 "On deep-water waves," London Mathematical Society, Proceedings, 2 (1904), 371-401.
39. 1916 "On wave-patterns due to a travelling disturbance," PM, 31 (1916), 539-548.
40. th ed. (Dover: New York).
41. Laplace, Pierre Simon de 1775-76 "Recherches sur plusieurs points du système du monde," MAS (1775), 52-182;
42. Laplace, Pierre Simon de 1775-76 "Recherches sur plusieurs points du système du monde," MAS (1776), 177-267, 525-552
43. , also in Laplace 1878-1912, vol. 9, 171-310.
44. 1776 "Sur les ondes," MAS (1776), 542-552,
45. also in Laplace 1878-1912, vol. 9, 301-310.
46. 1878-1912, Oeuvres complètes, 14 vols. (Paris).
47. Levi-Civita, Tullio 1925 "Détermination rigoureuse des ondes permanentes d'ampleur finie," Mathematische Annalen, 93 (1925), 264-314.
48. Lighthill, James 1957 "River waves," First symposium on naval hydrodynamics," Proceedings, NAS/NRC publication 515 (1957), 17-44,
49. also in Collected works, 4 vols. (Oxford, 1997), vol. 3.
50. 1978 Waves in fluids (Cambridge), 269-279.
51. Miles, John W. 1981 "The Korteweg-de Vries equation: a historical essay," Journal of fluid mechanics, 106 (1981), 131-147.
52. Miller, William Hallows 1842 "On spurious rainbows," TCPS (1842), 277-286.
53. Partiot, Henri 1858 "Mémoire sur le mascaret" [extract], CR, 47 (1858), 651-654.
54. 1871 "Mémoire sur les marées fluviales" [extract], CR, 73 (1871), 91-95.
55. Poisson, Siméon Denis 1816 "Mémoire sur la théorie des ondes," MAS, 1 (1816), 71-186 (read on 2 Oct and 18 Dec 1815, published in 1818).
56. 1817a "Mémoire sur la theorie des ondes," Société Philomatique, Bulletin (1817), 85-89.
57. 1817b "Mémoire sur la théorie des ondes," Annales de chimie et de physique, 5 (1817), 122-142.
58. 1829 "Note sur le problème des ondes," MAS, 8 (1829), 571-580.
59. Poncelet, Jean Victor 1831 "Sur quelques phénomènes produits à la surface libre des fluides, en repos ou en mouvement, par la présence des corps solides qui y sont plus ou moins plongés, et spécialement sur les ondulations et les rides permanentes qui en résultent," Annales de chimie et de physique, 46 (1831), 5-25.
60. Rankine, William 1863 "On thé exact form of waves near the surface of deep waters," PT (1863), 127-138.
61. Rayleigh, Lord 1876 "On waves," PM,
62. also in RSP 1, pp. 251-271.
63. 1877 "On progressive waves," London Mathematical Society, Proceedings,
64. also in RSP 1, pp, 322-327.
65. 1877-78 Theory of sound, 2 vols. (London).
66. 1881 "On the velocity of light," Nature,
67. also in RSP 1, pp. 537-540.
68. 1883 "The form of standing waves on the surface of running water," London Mathematical Society, Proceedings,
69. also in RSP 2, pp. 258-267.
70. nd ed., 2 vols. (London).
71. Reech, Frédéric 1869 "Sur la théorie des ondes liquides périodiques," CR, 68 (1869), 1099-1101.
72. Russell, John Scott 1834 "Notice of the reduction of an anomalous fact in hydrodynamics, and of a new law of the resistance to the motion of floating bodies," BAR (1834), 531-544.
73. 1835a "Experimental researches into the laws of motion of floating bodies," BAR (1835), 16-17.
74. 1835b "On the solid of least resistance," BAR (1835), 107-108.
75. 1837a "On the mechanism of waves, in relation to the improvement of navigation," BAR (1837), 130-131.
76. 1837b "Notice of experimental researches into the law of certain hydrodynamical phenomena that have not hitherto been reduced into comformity with known laws," Royal Society of Edinburgh, Proceedings, 1 (1832-1844), 160-161.
77. 1837c "Report of the committee on waves, appointed by the B.A. at Bristol in 1836," BAR (1837), 417-496.
78. 1838 "On the terrestrial mechanism of the tides," ibid., 179-181.
79. 1839 "Experimental researches into the laws of certain hydrodynamical phenomena that accompany the motin of floating bodies, and have not perviously been reduced into conformity with the known laws of the resistance of fluids," Royal Society of Edinburgh, Transactions, 14 (1839), 47-109.
80. 1841 "Report of the Committee on the form of vessels," BAR (1841), 325.
81. 1842a "Report of a Committee on the form of ships," BAR (1842), 104-105.
82. 1842b "On the abnormal tides of the Frith of Forth," BAR (1842), 115-116.
83. 1843a "Report of a series of observations on the tides of the Frith of Forth and the East Coast of Scotland," BAR (1843), 110-111.
84. 1843b "Notice of a report of the Committee on the form of ships," BAR (1843), 112-115.
85. 1845 Report on waves (London),
86. also published in BAR (1844).
87. 1852 "On wave-line ships and yachts," Royal Institution, Proceedings (1852), 115-119.
88. 1854 "On the progress of naval architecture and steam navigation, including a notice of the large ship of the Eastern Navigation Company," BAR (1854), 160-161.
89. 1857 "Mechanical structure of the 'Great Eastern' steam ship," BAR (1857), 195-198.
90. 1865 The modern system of naval architecture, 3 in folio vols. (London).
91. 1885 The wave of translation in the oceans of water, air, and ether [posthumous memoirs originally submitted to the Royal Society] (London).
92. Saint-Venant, Adhémar Barré de 1870 "Démonstration élémentaire de la formule de propagation d'une onde ou d'une intumescence dans un canal prismatique; et remarque sur les progagations du son et de la lumière, sur les ressauts, ansi que sur la distinction entre les rivières et les torrents" CR, 71(1870), 186-195.
93. 1871a "Théorie du mouvement non permanent des eaux, avec application aux crues des rivières et à l'introduction des marées dans leur lit," CR, 73 (1871), 147-154.
94. 1871b "Sur la houle et le clapotis," CR, 73 (1871), 521-528, 589-593.
95. 1885 "Mouvements des molécules de l'onde dite solitaire," CR, 101 (1885), 1101-1105, 1215-1218, 1445-1447.
96. 1887 Annotated translation of Gerstner 1802, Annales des ponts et chaussées.
97. 1888 "De la houle et du clapotis," Annales des ponts et chaussées, 15 (1888), 705-773 [published posthumously by A. Flamant].
98. Stokes, George Gabriel 1846 "Report on recent researches on hydrodynamics," BAR,
99. also in SMPP 1, pp. 157-187.
100. 1847 "On the theory of oscillatory waves," Cambridge Philosophical Society, Transactions,
101. also in SMPP1, pp. 197-225.
102. 1849 "Notes on hydrodynamics. IV. On waves," Cambridge and Dublin mathematical journal,
103. also in SMPP 2, pp. 220-250.
104. 1850 "On the numerical calculation of a class of definite integrals and infinite series," Cambridge Philosophical Society, Transactions,
105. also in SMPP 2, pp. 329-357.
106. Smith prize examination papers for 2 Feb 1876, in SMPP 5, p. 362.
107. 1880a Appendix A to Stokes 1847 on "Gerstner's wave," SMPP1, pp. 219-225.
108. 1880b Appendix B to Stokes 1847 on "the highest irrotational oscillatory wave," SMPP 1, pp. 226-229.
109. 1880c "Supplement to a paper on the theory of oscillatory waves," SMPP 1, pp. 314-326.
110. 1880-1905 Mathematical and physical papers, 5 vols. (Cambridge).
111. 1891 "Note on the solitary wave," PM,
112. also in SMPP 5, pp. 160-162.
113. 1907 Memoir and scientific correspondence, 2 vols. (Cambridge).
114. Thomson, William (Lord Kelvin) 187la "The influence of wind and capillarity on waves in water supposed frictionless, " letter to Tait, 16 Aug. 1871, PM,
115. also in TMPP 4, pp. 76-79.
116. 1871b Letter to Tait, 23 Aug. 1871, PM,
117. also in TMPP 4, pp. 79-80.
118. 1871c "Ripples and waves, " Nature,
119. also in TMPP 4, pp.86-92.
120. 1886 "On stationary waves in flowing water," PM,
121. also in TMPP 4, pp. 270-302.
122. 1887a "On ship waves," [lecture delivered at the "Conversazione" in the Science and Art Museum, Edinburgh, on 3 Aug 1887], Institution of Mechanical Engineers, Minutes of proceedings (1887), 409-434
123. [Incomplete version in Popular lectures and addresses, 3 vols. (London, 1891), vol. 3, 450-500].
124. 1887b "On the waves produced by a single impulse in water of any depth, or in a dispersive medium," PM,
125. also in TMPP 4, pp. 303-306.
126. 1905 "Deep water ship-waves," PM,
127. also in TMPP 4, pp. 368-393.
128. 1906 "Deep sea ship-waves," PM,
129. also in TMPP 4, pp. 394-418.
130. 1907 "Investigation of deep-sea waves of three classes: (1) from a single displacement; (2) from a group of equal and similar displacement; (3) by a periodically varying surface-pressure," PM,
131. also in TMPP 4, pp. 419-456.
132. Weber, Heinrich and Wilhelm 1825 Wellenlehre auf Experimente gegründet, oder über die Wellen tropfbarer Flüssigkeiten mit Anwendung auf die Schall- und Lichtwellen (Leipzig).
133. Whewell, William 1833 "Essay toward a first approximation to a map of cotidal lines," PT (1833), 147-236.
134. 1834 "On the empirical laws of the tides in the Port of London, with some reflexions on the theory," PT (1834), 15-45.
135. Wright, Thomas 1983 Ship hydrodynamics 1770-1880, PhD dissertation (Science Museum, South Kensington, London).
136. Young, Thomas 1813 "A theory of tides, including the consideration of resistance," Nicholson Journal,
137. also in Young 1855, vol. 2, pp. 262-390.
138. 1823 "Tides," Encyclopaedia Britannica, supt. (1823),
139. also in Young 1855, vol. 2, pp. 296-355.
140. 1855 Miscellaneous works, 3 vols. (London).