On the Conserved Quantities for the Weak Solutions of the Euler Equations and the Quasi-geostrophic Equations
โ Scribed by Dongho Chae
- Publisher
- Springer
- Year
- 2006
- Tongue
- English
- Weight
- 194 KB
- Volume
- 266
- Category
- Article
- ISSN
- 0010-3616
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
## Abstract The momentum equation for the quasiโgeostrophic (QG) model derived based on the conventional Rossbyโnumber expansions does not uniquely determine the QG motion up to first order in the Rossby number. There are infinitely many ways of closing the equations. The momentum equation for QG d
Weak solution of the Euler equations is defined as an L 2 -vector field satisfying the integral relations expressing the mass and momentum balance. Their general nature has been quite unclear. In this work an example of a weak solution on a 2-dimensional torus is constructed that is identically zero