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Math. Model. Nat. Phenom. Vol. 3, No. 1, 2008, pp. 108-125
DOI: 10.1051/mmnp:2008036
Instabilities of Diffuse Interfaces
N. Bessonov1, J. Pojman2, G. Viner2, V. Volpert3 and B. Zoltowski21 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
volpert@math.univ-lyon1.fr
Published online: 17 July 2008
Abstract
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.
Mathematics Subject Classification. 76E17, 76R50
Key words: miscible liquids -- interfacial phenomena -- drops -- interfacial waves