论文标题
毛细血管奖励水波：修饰的流动力配方
Capillary-Gravity Water Waves: Modified Flow Force Formulation
论文作者
论文摘要
考虑到平坦床上具有非线性游离表面边界条件的Euler方程所描述的经典无毛毛细管水波问题。已经定义了修改的流动力，并开发了修改后的流动函数框架中毛细血管重力波的新公式。使用分叉理论，证明了小幅度波的局部存在。
The classical irrotational capillary-gravity water wave problem described by the Euler equations with a nonlinear free surface boundary condition over a flat bed is considered. A modified flow force has been defined and a new formulation of capillary-gravity waves in the framework of the modified flow force function has been developed. Using bifurcation theory, the local existence of waves of small amplitude is proved.
