Uniqueness of the exact solutions of the Navier—Stokes equations having null nonlinearity
Published online by Cambridge University Press: 12 July 2007
Abstract
We consider an overdetermined system of elliptic partial differential equations arising in the Navier–Stokes equations. This analysis enables us to prove that the well-known classical solutions such as Couette flows and others are the only solutions that satisfy both the stationary Navier–Stokes and Euler equations.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 136 , Issue 6 , December 2006 , pp. 1303 - 1315
- Copyright
- Copyright © Royal Society of Edinburgh 2006
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