Stability of the inviscid plane couette flow in bubbly fluids |
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| Authors: | Nourdine Chikhi |
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| Affiliation: | 1. Laboratoire de Modélisation en Mécanique et Thermodynamique, Faculté des Sciences et Techniques de Saint-Jér?me, Case 322, Avenue Escadrille Normandie-Niemen, 13397, Marseille Cedex 20, France
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| Abstract: | The aim of this article is to study the stability of shear flows in bubbly fluids. A mathematical model of bubbly fluids is presented. The stability of shear flows is studied by two methods: by using a spectral approach and by solving the initial-value problem. It is proved that the linear velocity profile is stable in the long wave approximation. Communicated by R. Grimshaw |
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| Keywords: | Bubbly fluids Shear flows Stability |
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