Abstract
In 2004 the mathematical world will mark 120 years since the advent of turbulence theory ([80]). In his 1884 paper Reynolds introduced the decomposition of turbulent flow into mean and fluctuation and derived the equations that describe the interaction between them. The Reynolds equations are still a riddle. They are based on the Navier-Stokes equations, which are a still a mystery. The Navier-Stokes equations are a viscous regularization of the Euler equations, which are still an enigma. Turbulence is a riddle wrapped in a mystery inside an enigma ([11]).
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 2006 Springer-Verlag Berlin/Heidelberg
About this chapter
Cite this chapter
Constantin, P. (2006). Euler Equations, Navier-Stokes Equations and Turbulence. In: Cannone, M., Miyakawa, T. (eds) Mathematical Foundation of Turbulent Viscous Flows. Lecture Notes in Mathematics, vol 1871. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11545989_1
Download citation
DOI: https://doi.org/10.1007/11545989_1
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-28586-1
Online ISBN: 978-3-540-32454-6
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)