Interfaces in incompressible flows
Analysis of PDEs
2022-01-03 v1 Fluid Dynamics
Abstract
The motion of both internal and surface waves in incompressible fluids under capillary and gravity forces is a major research topic. In particular, we review the derivation of some new models describing the dynamics of gravity-capillary nonlinear waves in incompressible flows. These models take the form of both bidirectional and unidirectional nonlinear and nonlocal wave equations. More precisely, with the goal of telling a more complete story, in this paper we present the results in the works \cite{GS,aurther2019rigorous,granero2019models,granero2019well,granero2020well,granero2021motion, granero2021global} together with some new results regarding the well-posedness of the resulting PDEs.
Keywords
Cite
@article{arxiv.2112.15229,
title = {Interfaces in incompressible flows},
author = {Rafael Granero-Belinchón},
journal= {arXiv preprint arXiv:2112.15229},
year = {2022}
}