Year: 2026
Type: preprint
Abstract: We study two-dimensional steady gravity water waves with general vorticity in a homogeneous, inviscid fluid of finite depth, subject to a surface pressure that tends to distinct constants upstream and downstream. Starting from a fixed supercritical shear flow, we construct two global branches of monotone fronts connecting distinct laminar states, with increasing and decreasing profiles corresponding to the two signs of the pressure transition. Small-amplitude fronts are first obtained via the implicit function theorem and then extended by analytic global continuation.
Source: arXiv (Cornell University)
Authors: Chu, Jifeng, Wang, Zihao, Zhang, Yong
Language: English
Topic: Nonlinear Waves and Solitons
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
Awards: 常微分方程的稳定性理论及其应用, G6844602229, G7783210417
OpenAlex ID: W7214204555