A remark on the two dimensional water wave problem with surface tension
主 题: A remark on the two dimensional water wave problem with surface tension
报告人: 邵双林 (Department of Mathematics, University of Kansas)
时 间: 2014-06-23 10:00-11:00
地 点: 理1493（主持人：章志飞）
We consider the motion of a periodic interface between air (above) and an irrotational, incompressible, inviscid, infinitely deep body of water (below), with surface tension present. From the work of S. Wu and D. Ambrose-N. Masmoudi, we present a simpler way to reduce the original water wave system to a quasilinear system in variables related to the interface's tangent angle and a quantity related to the difference of tangential velocities of the interface in the Lagrangian and arc-length coordinates. We also establish an a-priori energy inequality for the system. This is a joint work with Markus Keel.