The effect of surface tension on trapped modes in water-wave problems
โ Scribed by Harter, Robert; Abrahams, I. David; Simon, Michael J.
- Book ID
- 120147959
- Publisher
- The Royal Society
- Year
- 2007
- Tongue
- English
- Weight
- 457 KB
- Volume
- 463
- Category
- Article
- ISSN
- 0962-8444
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๐ SIMILAR VOLUMES
Uniqueness in the linearised water-wave problem is considered for a fluid layer of constant depth containing two, three or four vertical barriers. The barriers are parallel, of infinite length in a horizontal direction, and may be surface-piercing and/or bottom mounted and may have gaps. The case of
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