Abstract
The Navier–Stokes (N-S) equation, basically nonlinear partial differential equations, has few analytic exact solutions.
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References
L.J. Crane, ZAMP 21, 645–647 (1970)
V.W. Ekman, Ark. Mat. Astron. Fys. 2, 1–52 (1905)
G. Hamel, Jahresher. Dtsch. Mat. Ver. 25, 34–60 (1916)
K. Hiemenz, Dinglers Polytech. J. 326, 321–324 (1911)
M.J.M. Hill, Phil. Trans. R. Soc. London A 185, 213–245 (1894)
G.B. Jeffrey, Phil Mag. Ser. 6, 29, 455–465 (1915)
L.I. Kovasznay, Proc. Camb. Phil. Soc. 44, 58–62 (1948)
L.D. Landau, Dokl. Akad. Nauk. SSSR 43, 286–288 (1944)
L.D. Landau and E.M. Lifshitz, Fluid Mechanics (Pergamon, London, 1959)
H.S. Tsien, Quart. Appl. Math. 1, 130–148 (1943)
G.I. Taylor, Phil. Mag. Ser. 6 46, 671–674 (1923)
T. Von Karman, ZAMM 1, 233–252 (1921)
C.Y. Wang, Phys. Fluids 27, 1915–1917 (1984)
C.Y. Wang, Appl. Mech. Rev. 42(11 Part 2), S269–S282 (1989)
C.Y. Wang, Ann. Rev. Fluid Mech. 23, 159–177 (1991)
C.Y. Wang, Europ. J. Mech. B/Fluids 30, 475–479 (2011)
C.Y. Wang, Mech. Res. Comm. 83, 65–67 (2017)
C.Y. Wang, Europ. J. Mech. B/Fluids 27, 678–683 (2008)
G.B. Whitham, in Laminar Boundary Layers, ed. by L. Rosenhead (Clarendon, Oxford, 1963)
K.T. Yang, J. Appl. Mech. 25, 421–427 (1958)
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Wang, C.Y. (2024). Exact Solutions. In: Essential Analytic Laminar Flow. Synthesis Lectures on Engineering, Science, and Technology. Springer, Cham. https://doi.org/10.1007/978-3-031-36449-5_2
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DOI: https://doi.org/10.1007/978-3-031-36449-5_2
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