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| HAL: hal-00701804, version 1 |
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| Differential and integral equations 12, 5 (1999) 691-740 |
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| On the long time behaviour of the solution to the two-fluids incompressible Navier-Stokes equations |
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| Jean-Frédéric Gerbeau 1Claude Le Bris 2, 3 |
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| (1999) |
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| 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. |
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| 1: | REO (INRIA Paris-Rocquencourt) |
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INRIA – Laboratoire Jacques-Louis Lions |
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| 2: | Centre d'Enseignement et de Recherche en Mathématiques et Calcul Scientifique (CERMICS) |
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Ecole des Ponts ParisTech |
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| 3: | MICMAC (INRIA Paris - Rocquencourt) |
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Ecole des Ponts ParisTech – INRIA |
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| Domain | : | Mathematics/Numerical Analysis |
| hal-00701804, version 1 | |
| http://hal.inria.fr/hal-00701804 | |
| oai:hal.inria.fr:hal-00701804 | |
| From: Jean-Frédéric Gerbeau | |
| Submitted on: Saturday, 26 May 2012 17:27:58 | |
| Updated on: Saturday, 26 May 2012 17:27:58 | |
