Geodesic
Amplitude equations for three-dimensional double-diffusive convection in the neighborhood of Hopf bifurcation points
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 3 (2008), pp. 46-60

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Three dimensional double-diffusive convection in a horizontally infinite layer of an uncompressible liquid is considered in the neighborhood of Hopf bifurcation points. A system of amplitude equations for horizontal variations of the amplitude of a square type convective cells is derived by multiple-scale method. An attention is paid to an interaction of convection and horizontal curl. Different cases of the derived equations are discussed.
Mots-clés : double-diffusive convection, amplitude equations
Keywords: multiple-scale method. 
@article{VUU_2008_3_a5,
     author = {S. B. Kozitskii},
     title = {Amplitude equations for three-dimensional double-diffusive convection in the neighborhood of {Hopf} bifurcation points},
     journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
     pages = {46--60},
     publisher = {mathdoc},
     number = {3},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VUU_2008_3_a5/}
}
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S. B. Kozitskii. Amplitude equations for three-dimensional double-diffusive convection in the neighborhood of Hopf bifurcation points. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 3 (2008), pp. 46-60. http://geodesic.mathdoc.fr/item/VUU_2008_3_a5/