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Square cells in gravitational and capillary thermoconvection

Bibliographic reference Regnier, Vincent ; Dauby, PC. ; Parmentier, P. ; Lebon, Georgy. Square cells in gravitational and capillary thermoconvection. In: Physical review. E, Statistical physics, plasmas,fluids and related interdisciplinary topics, Vol. 55, no. 6, p. 6860-6865 (1997)
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  1. Schlüter A., Lortz D., Busse F., On the stability of steady finite amplitude convection, 10.1017/s0022112065001271
  2. Stuart J. T., On the non-linear mechanics of wave disturbances in stable and unstable parallel flows Part 1. The basic behaviour in plane Poiseuille flow, 10.1017/s002211206000116x
  3. Segel L. A., Stuart J. T., On the question of the preferred mode in cellular thermal convection, 10.1017/s0022112062000683
  4. Segel Lee A., The non-linear interaction of a finite number of disturbances to a layer of fluid heated from below, 10.1017/s002211206500023x
  5. Scanlon J. W., Segel L. A., Finite amplitude cellular convection induced by surface tension, 10.1017/s002211206700134x
  6. Bragard J, Lebon G, Non-Linear Marangoni Convection in a Layer of Finite Depth, 10.1209/0295-5075/21/8/007
  7. Cloot A., Lebon G., A nonlinear stability analysis of the Bénard–Marangoni problem, 10.1017/s0022112084003013
  8. Cerisier P., Jamond C., Pantaloni J., Perez-Garcia C., Stability of roll and hexagonal patterns in Bénard–Marangoni convection, 10.1063/1.866282
  9. Kraska J.R., Sani R.L., Finite amplitude bénard-rayleigh convection, 10.1016/0017-9310(79)90057-7
  10. Rosenblat S., Davis S. H., Homsy G. M., Nonlinear Marangoni convection in bounded layers. Part 1. Circular cylindrical containers, 10.1017/s0022112082002687
  11. Rosenblat S., Homsy G. M., Davis S. H., Nonlinear Marangoni convection in bounded layers. Part 2. Rectangular cylindrical containers, 10.1017/s0022112082002699
  12. Eckhaus Wiktor, Studies in Non-Linear Stability Theory, ISBN:9783642883194, 10.1007/978-3-642-88317-0
  13. Cross M. C., Derivation of the amplitude equation at the Rayleigh–Bènard instability, 10.1063/1.863198
  14. Cross M. C., Ingredients of a theory of convective textures close to onset, 10.1103/physreva.25.1065
  16. Bestehorn Michael, Phase and amplitude instabilities for Bénard-Marangoni convection in fluid layers with large aspect ratio, 10.1103/physreve.48.3622
  17. Thess A., Bestehorn M., Planform selection in Bénard-Marangoni convection:lhexagons versusghexagons, 10.1103/physreve.52.6358
  18. Thess A., Orszag S. A., Surface-tension-driven Bénard convention at infinite Prandtl number, 10.1017/s002211209500228x
  19. D. D. Joseph, Stability of Fluid Motions II, Springer Tracts in Natural Philosophy Vol. 28 (1976)
  20. Koschmieder E. L., Prahl S. A., Surface-tension-driven Bénard convection in small containers, 10.1017/s0022112090002762
  21. Koschmieder E. L., Biggerstaff M. I., Onset of surface-tension-driven Bénard convection, 10.1017/s0022112086002720
  22. Parmentier P. M., Regnier V. C., Lebon G., Legros J. C., Nonlinear analysis of coupled gravitational and capillary thermoconvention in thin fluid layers, 10.1103/physreve.54.411
  23. Nitschke K., Thess A., Secondary instability in surface-tension-driven Bénard convection, 10.1103/physreve.52.r5772
  24. Bestehorn Michael, Square Patterns in Bénard-Marangoni Convection, 10.1103/physrevlett.76.46
  25. Kubstrup C., Herrero H., Pérez-García C., Fronts between hexagons and squares in a generalized Swift-Hohenberg equation, 10.1103/physreve.54.1560
  26. Normand Christiane, Pomeau Yves, Velarde Manuel G., Convective instability: A physicist's approach, 10.1103/revmodphys.49.581