Abstract
The classical 3-dimensional Euler equations are the system of PDEs
\(\begin{array}{ll}\frac{\partial u}{\partial t} + (u \cdot \nabla) u & + \nabla p = 0\\ & {\rm div}\,\, u = 0 \end{array}\)
where \(u : [0,T]\times D \, \rightarrow \, \mathbb{R}^3\)is the velocity field of the fluid and \(p : [0,T]\times D \, \rightarrow \, \mathbb{R}^3\) is the pressure field.
Keywords
- Weak Solution
- Euler Equation
- Regular Solution
- Random Perturbation
- Weak Uniqueness
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2011 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Flandoli, F. (2011). Dyadic Models. In: Random Perturbation of PDEs and Fluid Dynamic Models. Lecture Notes in Mathematics(), vol 2015. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-18231-0_3
Download citation
DOI: https://doi.org/10.1007/978-3-642-18231-0_3
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-18230-3
Online ISBN: 978-3-642-18231-0
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)
