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

Analysis of PDEs 2008-06-28 v2

Abstract

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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Cite

@article{arxiv.0806.2433,
  title  = {Well-posedness of the water-wave problem with surface tension},
  author = {Mei Ming and Zhifei Zhang},
  journal= {arXiv preprint arXiv:0806.2433},
  year   = {2008}
}

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32 pages