Well-Posedness of Vortex Sheets with Surface Tension
โ Scribed by Ambrose, David M.
- Book ID
- 118200070
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 2003
- Tongue
- English
- Weight
- 325 KB
- Volume
- 35
- Category
- Article
- ISSN
- 0036-1410
No coin nor oath required. For personal study only.
๐ 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
The presence of surface tension for interfacial flows usually leads to severe stability constraints for explicit time integration methods. Moreover, the nonlocality and nonlinearity of the high-order terms make the application of implicit methods difficult. In this paper, a computational strategy is
In a recent analytical study, the author has proved well-posedness of the vortex sheet with surface tension. This work included using a formulation of the problem introduced by Hou, Lowengrub, and Shelley for a numerical study of the same problem. The analytical study required identification of a te