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Well-posedness of the water-wave problem with surface tension

โœ Scribed by Mei Ming; Zhifei Zhang

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
329 KB
Volume
92
Category
Article
ISSN
0021-7824

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โœฆ Synopsis

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 of the water-wave problem without surface tension.

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