On the well posedness of some wave formulations of the shallow water equations
β Scribed by Jean Drolet; William G. Gray
- Publisher
- Elsevier Science
- Year
- 1988
- Tongue
- English
- Weight
- 838 KB
- Volume
- 11
- Category
- Article
- ISSN
- 0309-1708
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
In this paper, we prove the local well-posedness of the water-wave problem with surface tension in the case of finite depth by working in the Eulerian setting. For the flat bottom, as surface tension tends to zero, the solution of the water-wave problem with surface tension converges to the solution
## Abstract We present a new spaceβtime SUPG formulation of the shallowβwater equations. In this formulation, we use a stabilization parameter that was introduced for compressible flows and a new shockβcapturing parameter. In the context of two test problems, we evaluate the performance of the new