论文标题
时间准周期旅行重力水波无限深度
Time Quasi-Periodic Traveling Gravity Water Waves in Infinite Depth
论文作者
论文摘要
我们介绍了最新的结果[8]，即在无限深度的2D纯重力水波系统的时间行驶波中存在准周期。我们提供了从完全共振的椭圆固定点分叉的准周期水波溶液的第一个存在结果。该证明基于NASH-MOSER方案，Birkhoff正常形式方法和伪差分计算技术。我们处理了小型除数的综合问题和方程式的全额线性质。
We present the recent result [8] concerning the existence of quasi-periodic in time traveling waves for the 2d pure gravity water waves system in infinite depth. We provide the first existence result of quasi-periodic water waves solutions bifurcating from a completely resonant elliptic fixed point. The proof is based on a Nash-Moser scheme, Birkhoff normal form methods and pseudo-differential calculus techniques. We deal with the combined problems of small divisors and the fully-nonlinear nature of the equations.
