On a Linearized Problem Arising in the Navier-Stokes Flow of a Free Liquid Jet
Analysis of PDEs
2011-12-20 v1
Abstract
In this work, we analyze a Stokes problem arising in the study of the Navier-Stokes flow of a liquid jet. The analysis is accomplished by showing that the relevant Stokes operator accounting for a free surface gives rise to a sectorial operator which generates an analytic semigroup of contractions. Estimates on solutions are established using Fourier methods. The result presented is the key ingredient in a local existence and uniqueness proof for solutions of the full nonlinear problem.
Keywords
Cite
@article{arxiv.1112.4029,
title = {On a Linearized Problem Arising in the Navier-Stokes Flow of a Free Liquid Jet},
author = {Shaun Ceci and Thomas Hagen},
journal= {arXiv preprint arXiv:1112.4029},
year = {2011}
}