Water Waves Problem with Surface Tension in a Corner Domain I: A Priori Estimates with Constrained Contact Angle
Water Waves Problem with Surface Tension in a Corner Domain I: A Priori Estimates with Constrained Contact Angle
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DOI：
10.1137/19m1239957
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发表时间：
2017-09
期刊：
影响因子：
--
通讯作者：
Mei Ming;Chao Wang
中科院分区：
文献类型：
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作者：
Mei Ming;Chao Wang
We study the two dimensional water waves problem with surface tension in the case when there is a non-zero contact angle between the free surface and the bottom. In the presence of surface tension, dissipations take place at the contact point. Moreover, when the contact angle is less than $\pi/6$, no singularity appears in our settings. Using elliptic estimates in corner domains and a geometric approach, we prove an a priori estimate for the water waves problem.
