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arXiv · 0806.2433

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

Mei Ming·Zhifei Zhang
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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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Mei Ming, Zhifei Zhang. 2008-06-28. Well-posedness of the water-wave problem with surface tension. https://arxiv.org/abs/0806.2433

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