On the use of the notion of suitable weak solutions in CFD
β Scribed by Jean-Luc Guermond
- Publisher
- John Wiley and Sons
- Year
- 2008
- Tongue
- English
- Weight
- 250 KB
- Volume
- 57
- Category
- Article
- ISSN
- 0271-2091
- DOI
- 10.1002/fld.1853
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Di!erential equations and boundary conditions which describe physical phenomena are often obtained from physical principles by means of the variational calculus techniques. The necessary conditions for the existence of extremes of a functional lead to the Euler di!erential equation which involves un
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
## Communicated by W. Wendland We construct global weak solutions to the different modes of sedimentation appearing in the theory of Kynch and show that, with constant initial concentration, only five modes of sedimentation exkt. Wc also generalize the method of construction to the case of a monot