LOCAL BIFURCATION OF STEADY ALMOST PERIODIC WATER WAVES WITH CONSTANT VORTICITY

作     者：罗巍 殷朝阳 Wei LUO;Zhaoyang YIN

作者机构：Department of MathematicsSun Yat-sen UniversityGuangzhou 510275China 

出 版 物：《Acta Mathematica Scientia》 (数学物理学报（B辑英文版）)

年 卷 期：2023年第43卷第4期

页      面：1633-1644页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：partially the National Key R&D Program of China(2021YFA1002100) the NSFC(12171493,11701586) the FDCT(0091/2018/A3) the Guangdong Special Support Program(8-2015) the Key Project of NSF of Guangdong Province(2021A1515010296) 

主　　题：water waves almost periodic functions bifurcation theory constant vorticity 

摘      要：In this paper we investigate the traveling wave solution of the two dimensional Euler equations with gravity at the free surface over a flat *** assume that the free surface is almost periodic in the horizontal *** conformal mappings,one can change the free boundary problem into a fixed boundary problem for some unknown functions with the boundary *** virtue of the Hilbert transform,the problem is equivalent to a quasilinear pseudodifferential equation for an almost periodic function of one *** bifurcation theory ensures that we can obtain an existence *** existence result generalizes and covers the recent result in[15].Moreover,our result implies a non-uniqueness result at the same bifurcation point.