Equivalence of weak formulations of the steady water waves equations
Analysis of PDEs
2015-05-28 v1
Abstract
We prove the equivalence of three weak formulations of the steady water waves equations, namely the velocity formulation, the stream function formulation, and the Dubreil-Jacotin formulation, under weak Holder regularity assumptions on their solutions.
Keywords
Cite
@article{arxiv.1105.1653,
title = {Equivalence of weak formulations of the steady water waves equations},
author = {Eugen Varvaruca and Arghir Zarnescu},
journal= {arXiv preprint arXiv:1105.1653},
year = {2015}
}