Skip to Main content Skip to Navigation
Journal articles

On the long time behaviour of the solution to the two-fluids incompressible Navier-Stokes equations

Abstract : We devote this work to the long time behaviour of the solution tothe incompressible Navier-Stokes equations for two viscous immiscible fluids contained in a bounded domain and subjected only to gravity forces. When there is surface tension at the interface or not, for the model linearized around the steady-state of minimal energy or for the standard nonlinear model, we investigate the following question: do the equations reproduce the behaviour expected from experiment, namely a convergence to zero of the velocity field, and a convergence of the interface to its stable position. Our results show a wide variety of behaviours, depending on the case considered.
Document type :
Journal articles
Complete list of metadata

https://hal.inria.fr/hal-00701804
Contributor : Jean-Frédéric Gerbeau <>
Submitted on : Saturday, May 26, 2012 - 5:27:58 PM
Last modification on : Thursday, February 14, 2019 - 2:34:02 PM

Identifiers

  • HAL Id : hal-00701804, version 1

Collections

Citation

Jean-Frédéric Gerbeau, Claude Le Bris. On the long time behaviour of the solution to the two-fluids incompressible Navier-Stokes equations. Differential and integral equations, Khayyam Publishing, 1999, 12 (5), pp.691-740. ⟨hal-00701804⟩

Share

Metrics

Record views

584