On the long time behaviour of the solution to the two-fluids incompressible Navier-Stokes equations - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles Differential and integral equations Year : 1999

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.
No file

Dates and versions

hal-00701804 , version 1 (26-05-2012)

Identifiers

  • HAL Id : hal-00701804 , version 1

Cite

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, 1999, 12 (5), pp.691-740. ⟨hal-00701804⟩
164 View
0 Download

Share

Gmail Facebook X LinkedIn More