Bifurcation of attractor in the falling film problem

Grigory Sisoev

doi:10.1016/j.ijnonlinmec.2007.12.002

Bifurcation of attractor in the falling film problem

Grigory Sisoev

Mathematics

Research output: Contribution to journal › Article

7 Citations (Scopus)

Abstract

Film flows down a vertical plane, the so-called falling films, are covered by waves whose lengths are longer than a threshold value corresponding to neutral stability of the waveless flow. On the other hand, experiments also demonstrate existence of the upper threshold wavelength in unstable interval. This phenomenon is explained through careful analysis of dynamical system modelling the wave dynamics in falling films. (C) 2007 Elsevier Ltd. All rights reserved.

Original language	English
Pages (from-to)	246-263
Number of pages	18
Journal	International Journal of Non-Linear Mechanics
Volume	43
Issue number	4
DOIs	https://doi.org/10.1016/j.ijnonlinmec.2007.12.002
Publication status	Published - 1 May 2008

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10.1016/j.ijnonlinmec.2007.12.002

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title = "Bifurcation of attractor in the falling film problem",

abstract = "Film flows down a vertical plane, the so-called falling films, are covered by waves whose lengths are longer than a threshold value corresponding to neutral stability of the waveless flow. On the other hand, experiments also demonstrate existence of the upper threshold wavelength in unstable interval. This phenomenon is explained through careful analysis of dynamical system modelling the wave dynamics in falling films. (C) 2007 Elsevier Ltd. All rights reserved.",

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AB - Film flows down a vertical plane, the so-called falling films, are covered by waves whose lengths are longer than a threshold value corresponding to neutral stability of the waveless flow. On the other hand, experiments also demonstrate existence of the upper threshold wavelength in unstable interval. This phenomenon is explained through careful analysis of dynamical system modelling the wave dynamics in falling films. (C) 2007 Elsevier Ltd. All rights reserved.

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JO - International Journal of Non-Linear Mechanics

JF - International Journal of Non-Linear Mechanics

IS - 4

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Bifurcation of attractor in the falling film problem

Abstract

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