Free Access
Volume 37, Number 5, September-October 2003
Page(s) 741 - 753
Published online 15 November 2003
  1. D.M. Anderson, G.B. McFadden and A.A. Wheeler, Diffuse interface methods in fluid mechanics. Annu. Rev. Fluid Mech. 30 (1998) 139-165. [CrossRef] [Google Scholar]
  2. L.K. Antanovskii, Microscale theory of surface tension. Phys. Rev. E 54 (1996) 6285-6290. [CrossRef] [Google Scholar]
  3. J.W. Cahn and J.E. Hilliard, Free energy of a nonuniform system. I. Interfacial Free Energy. J. Chem. Phys. 28 (1958) 258-267. [CrossRef] [Google Scholar]
  4. D. Joseph and M. Renardy, Fundamentals of two-fluid dynamics, Vol. II. Springer, New York (1992). [Google Scholar]
  5. D.J. Korteweg, Sur la forme que prennent les équations du mouvement des fluides si l'on tient compte des forces capillaires causées par des variations de densité considérables mais connues et sur la théorie de la capillarité dans l'hypothèse d'une variation continue de la densité. Arch. Néerl. Sci. Exactes Nat. Ser. II 6 (1901) 1-24. [Google Scholar]
  6. O.A. Ladyzhenskaya, Mathematical theory of viscous incompressible flow. Gordon and Breach (1963). [Google Scholar]
  7. J.L. Lions, Quelques méthodes de résolution des problèmes aux limites non linéaires. Gauthier-Villars, Paris (1969). [Google Scholar]
  8. J. Pojman, N. Bessonov, R. Texier, V. Volpert and H. Wilke, Numerical simulations of transient interfacial phenomena in miscible fluids, in Proceedings AIAA, Reno, USA (January 2002). [Google Scholar]
  9. J. Pojman, Y. Chekanov, J. Masere, V. Volpert, T. Dumont and H. Wilke, Effective interfacial tension induced convection in miscible fluids, in Proceedings of the 39th AIAA Aerospace Science Meeting, Reno, USA (January 2001). [Google Scholar]
  10. P. Petitjeans, Une tension de surface pour les fluides miscibles. C. R. Acad. Sci. Paris Sér. I Math. 322 (1996) 673-679. [Google Scholar]
  11. R. Temam, Navier-Stokes equations. Theory and numerical analysis. North-Holland Publishing Co., Amsterdam-New York, Stud. Math. Appl. 2 (1979). [Google Scholar]
  12. R. Temam, Navier-Stokes equations and nonlinear functional analysis. SIAM (1983). [Google Scholar]
  13. J.S. Rowlinson, Translation of J.D. van der Waals' ``The thermodynamic theory of capillarity under hypothesis of a continuous variation of density''. J. Statist. Phys. 20 (1979) 197. [CrossRef] [MathSciNet] [Google Scholar]
  14. V. Volpert, J. Pojman and R. Texier-Picard, Convection induced by composition gradients in miscible liquids. C. R. Acad. Sci. Paris Sér. I Math. 330 (2002) 353-358. [Google Scholar]

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