Nonstationary free boundary problem for perfect fluid with surface tension
type: Item
instance of: scholarly article
title: Nonstationary free boundary problem for perfect fluid with surface tension
zbMATH Open document ID: 0614.76012
author: Hisashi Okamoto
published in: Journal of the Mathematical Society of Japan
publication date: 1986-01-01T00:00:00Z
review text: A free boundary problem for a nonstationary irrotational motion of incompressible inviscid fluid was considered as a simplified model of a flow around a celestial body. The author considered only the flow in the plane through the equator, which may be regarded as a two-dimensional one. Self-gravitation of the fluid was neglected and only the gravitation due to the inside of the equator was taken into account. The problem was formulated by the perturbation method. The author has shown that the trivial solution is stable only if a certain condition is satisfied.
Mathematics Subject Classification ID: 76B15
Mathematics Subject Classification ID: 35B20
Mathematics Subject Classification ID: 35L15
zbMATH DE Number: 3995260
zbMATH Keywords: Dirichlet problem
zbMATH Keywords: Cauchy-Riemann equation
zbMATH Keywords: perturbation method
zbMATH Keywords: Hilbert transform
zbMATH Keywords: Hille-Yoshida theory
zbMATH Keywords: stability analysis
zbMATH Keywords: free boundary problem
zbMATH Keywords: nonstationary irrotational motion
zbMATH Keywords: incompressible inviscid fluid
zbMATH Keywords: flow around a celestial body
zbMATH Keywords: Self-gravitation
zbMATH Keywords: trivial solution
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2969/jmsj/03830381
OpenAlex ID: W2034443548
DOI: 10.2969/JMSJ/03830381
description: scientific article; zbMATH DE number 3995260