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PreprintCC BY 4.0arXiv

Global bifurcation of water-wave fronts generated by surface pressure

  • Jifeng Chu
  • Zihao Wang
  • Yong Zhang
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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.

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Cite

BibTeXRIS
BibTeX
@misc{chu2026global,
  title = {{Global bifurcation of water-wave fronts generated by surface pressure}},
  author = {Jifeng Chu and Zihao Wang and Yong Zhang},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.28024},
  eprint = {2609.28024},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.28024},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Global bifurcation of water-wave fronts generated by surface pressure
AU  - Jifeng Chu
AU  - Zihao Wang
AU  - Yong Zhang
PY  - 2026
DA  - 2026/09/23
PB  - arXiv
DO  - 10.48550/arxiv.2609.28024
UR  - https://arxiv.org/abs/2609.28024
AB  - 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.
ER  -