Water waves problem with surface tension in a corner domain II: the local well-posednes

Mei Ming; Chao Wang

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arXiv · 1812.09911

Water waves problem with surface tension in a corner domain II: the local well-posednes

Mei Ming·Chao Wang

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Abstract

Based on the a priori estimates in our previous work \cite{MW}, we continue to investigate the water-waves problem in a bounded two dimensional corner domain in this paper. We prove the local well-posedness of the solution to the water-waves system when the contact angles are less than $\frac{\pi}{16}$.

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Mei Ming, Chao Wang. 2018-12-24. Water waves problem with surface tension in a corner domain II: the local well-posednes. https://arxiv.org/abs/1812.09911

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