A remark on the two dimensional water wave problem with surface tension

Shuanglin Shao, Hsi Wei Shih

研究成果: Article

摘要

We consider the motion of a two-dimensional interface between air (above) and an irrotational, incompressible, inviscid, infinitely deep water (below), with surface tension present. We propose a new way to reduce the original problem into an equivalent quasilinear system which is related to the interface's tangent angle and a quantity related to the difference of tangential velocities of the interface in the Lagrangian and the arc-length coordinates. The new way is relatively simple because it involves only taking differentiation and the real and the imaginary parts. Then if assuming that waves are periodic, we establish a priori energy inequality.

原文English
頁(從 - 到)5748-5771
頁數24
期刊Journal of Differential Equations
266
發行號9
DOIs
出版狀態Published - 2019 四月 15

    指紋

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

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