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

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 $\frac{\pi }{16}$.

arXiv comment38 pages

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Cited by in corpus (1)

• Modeling shallow water waves