An energy theorem for viscous fluid motions

作者: Robert Finn

DOI: 10.1007/BF00276169

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摘要: 1. In t roduct ion I is intuitively clear tha an infinite amount of work necessary in order to accelerate a body ~ , initially at rest and surrounded by incompressible viscous fluid which occupies the (three-dimensional) region exterior into state uniform motion with constant velocity, -,~0. For if W(t) done accelerating from initial ime = 0 till t, E (t) kinetic energy particles Q rate converted heat motion, one has always relation (see, e.g., [1, p. 2687), w(t) (0 + f O (*) 3.

参考文章(4)
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Robert Finn, On steady-state solutions of the Navier-Stokes partial differential equations Archive for Rational Mechanics and Analysis. ,vol. 3, pp. 381- 396 ,(1959) , 10.1007/BF00284188
Robert Finn, On the steady-state solutions of the navier-stokes equations, III Acta Mathematica. ,vol. 105, pp. 197- 244 ,(1961) , 10.1007/BF02559590
Jean Leray, Étude de diverses équations intégrales non linéaires et de quelques problèmes que pose l'Hydrodynamique. Journal de Mathématiques Pures et Appliquées. ,vol. 12, pp. 1- 82 ,(1933)