Geodesic
Instabilities of Diffuse Interfaces
N. Bessonov1 ; J. Pojman2 ; G. Viner2 ; V. Volpert3 ; B. Zoltowski2
1 Institute of Mechanical Engineering Problems, 199178 Saint Petersburg, Russia
2 Department of Chemistry and Biochemistry, The University of Southern Mississippi Hattiesburg, MS 39606, USA
3 Institut de Mathématiques, UMR 5208 CNRS, Université Lyon 1 69622 Villeurbanne, France
Mathematical modelling of natural phenomena, Tome 3 (2008) no. 1, pp. 108-125.

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Composition gradients in miscible liquids can create volume forces resulting in various interfacial phenomena. Experimental observations of these phenomena are related to some difficulties because they are transient, sufficiently weak and can be hidden by gravity driven flows. As a consequence, the question about their existence and about adequate mathematical models is not yet completely elucidated. In this work we present some experimental evidences of interfacial phenomena in miscible liquids and numerical simulations of miscible drops and diffuse interfaces.
DOI : 10.1051/mmnp:2008036

N. Bessonov 1 ; J. Pojman 2 ; G. Viner 2 ; V. Volpert 3 ; B. Zoltowski 2

1 Institute of Mechanical Engineering Problems, 199178 Saint Petersburg, Russia
2 Department of Chemistry and Biochemistry, The University of Southern Mississippi Hattiesburg, MS 39606, USA
3 Institut de Mathématiques, UMR 5208 CNRS, Université Lyon 1 69622 Villeurbanne, France 
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N. Bessonov; J. Pojman; G. Viner; V. Volpert; B. Zoltowski. Instabilities of Diffuse Interfaces. Mathematical modelling of natural phenomena, Tome 3 (2008) no. 1, pp. 108-125. doi : 10.1051/mmnp:2008036. http://geodesic.mathdoc.fr/articles/10.1051/mmnp:2008036/

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