✦ LIBER ✦

Group properties and new solutions of Navier-Stokes equations

✍ Scribed by R. E. Boisvert; W. F. Ames; U. N. Srivastava

Publisher: Springer
Year: 1983
Tongue: English
Weight: 530 KB
Volume: 17
Category: Article
ISSN: 0022-0833
DOI: 10.1007/bf00036717

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✦ Synopsis

Using the machinery of Lie theory (groups and algebras) applied to the Navier-Stokes equations a number of exact solutions for the steady state are derived in (two) three dimensions. It is then shown how each of these generates an infinite number of time-dependent solutions via (three) four arbitrary functions of time. This algebraic structure also provides the mechanism to search for other solutions since its character is inferred from the basic equations.

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