On the long time behaviour of the solution to the two-fluids incompressible Navier-Stokes equations
type: Item
instance of: scholarly article
title: On the long time behaviour of the solution to the two-fluids incompressible Navier-Stokes equations
zbMATH Open document ID: 1022.35038
published in: Differential and Integral Equations
publication date: 2003-01-26T00:00:00Z
review text: The paper deals with the long time behaviour of the solution to the system of the modified (two-fluids) incompressible Navier-Stokes equations and the surface tracking equation for the height function. The authors investigate the question: Do the equations reproduce the behaviour expected from experiments? They study the case with and without the surface tension at the interface both for the linearized model (around the steady-state of minimal energy) and the general nonlinear model. They obtain results that show a wide variety of behaviors (concerning a convergence of the velocity field and the interface to their stable positions). The results are formulated in 4 propositions (the linear and nonlinear case, the surface tension is or isn't considered). The article is a very interesting contribution to the two-fluid flow modelling.
reviewed by: Marek Brandner
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 76D05
zbMATH DE Number: 1858766
zbMATH Keywords: two-fluid flow
zbMATH Keywords: incompressible Navier-Stokes equations
zbMATH Keywords: long time behaviour
author: J.-F. Gerbeau
author: Claude Le Bris
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1858766