Variational formulation for stratified steady water wave in two-layer flows
Analysis of PDEs
2024-03-26 v2
Abstract
In this paper, the variational formulation for steady periodic stratified water waves in two-layer flows is given. The critical points of a natural energy functional is proved to be the solutions of the governing equations. And the second variation of the functional is also presented.
Keywords
Cite
@article{arxiv.2401.10911,
title = {Variational formulation for stratified steady water wave in two-layer flows},
author = {Yuchao He and Yonghui Xia and Zhe Zhou},
journal= {arXiv preprint arXiv:2401.10911},
year = {2024}
}