Well-posedness of the free-surface incompressible Euler equations with or without surface tension
type: Item
instance of: scholarly article
title: Well-posedness of the free-surface incompressible Euler equations with or without surface tension
zbMATH Open document ID: 1123.35038
DOI: 10.1090/S0894-0347-07-00556-5
author: Daniel Coutand
author: Steve Shkoller
published in: Journal of the American Mathematical Society
publication date: 2007-04-18T00:00:00Z
full work available at URL: https://arxiv.org/abs/math/0511236
Mathematics Subject Classification ID: 35Q05
Mathematics Subject Classification ID: 76B03
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 35R35
zbMATH DE Number: 5144256
zbMATH Keywords: local existence and uniqueness
zbMATH Keywords: Sobolev spaces
zbMATH Keywords: incompressible Euler equations
MaRDI profile type: Publication
arXiv ID: math/0511236
cites work: Q4073917
cites work: Well-Posedness of Vortex Sheets with Surface Tension
cites work: The zero surface tension limit two‐dimensional water waves
cites work: Growth rates for the linearized motion of fluid interfaces away from equilibrium
cites work: An existence theory for water waves and the boussinesq and korteweg-devries scaling limits
cites work: Motion of an elastic solid inside an incompressible viscous fluid
cites work: The interaction between quasilinear elastodynamics and the Navier-Stokes equations
cites work: $L^2$-regularity theory of linear strongly elliptic Dirichlet systems of order $2m$ with minimal regularity in the coefficients
cites work: The equations of motion of a perfect fluid with free boundary are not well posed.
cites work: Well-posedness of the water-waves equations
cites work: Well‐posedness for the linearized motion of an incompressible liquid with free surface boundary
cites work: Well-posedness for the motion of an incompressible liquid with free surface boundary
cites work: On the three-dimensional Euler equations with a free boundary subject to surface tension
cites work: Q4889891
cites work: Well-posedness in Sobolev spaces of the full water wave problem in 2D
cites work: Well-posedness in Sobolev spaces of the full water wave problem in 3-D
cites work: Gravity waves on the free surface of an incompressible perfect fluid of finite depth
Recommended article: Global well-posedness of the free-surface damped incompressible Euler equations with surface tension
Recommended article: Well-Posedness of the Free-Boundary Compressible 3-D Euler Equations with Surface Tension and the Zero Surface Tension Limit
Recommended article: A simple proof of well-posedness for the free-surface incompressible Euler equations
Recommended article: The free boundary Euler equations with large surface tension
Recommended article: On the local existence of the free-surface Euler equation with surface tension
Recommended article: Well-posedness for the motion of an incompressible liquid with free surface boundary
Recommended article: On the incompressible limit for the compressible free-boundary Euler equations with surface tension in the case of a liquid
Recommended article: A Lagrangian Interior Regularity Result for the Incompressible Free Boundary Euler Equation with Surface Tension
Recommended article: Well-posedness of the free boundary problem in incompressible MHD with surface tension
Recommended article: On the three-dimensional Euler equations with a free boundary subject to surface tension
description: scientific article