Geodesic
Archimedes law under bifurcations of solution and partial averaging of phenomenological variables
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 4, pp. 708-722

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A model of the convective flow of viscous fluid is proposed with regard to possible finite “fluctuations” of thermophysical characteristics in a neighborhood of branch points. A method for the analysis of the influence of averaging on the values of phenomenological variables for the secondary flow and exact bounds on these values are calculated. 
@article{ZVMMF_2011_51_4_a14,
     author = {V. V. Larchenko},
     title = {Archimedes law under bifurcations of solution and partial averaging of phenomenological variables},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {708--722},
     publisher = {mathdoc},
     volume = {51},
     number = {4},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_4_a14/}
}
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V. V. Larchenko. Archimedes law under bifurcations of solution and partial averaging of phenomenological variables. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 4, pp. 708-722. http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_4_a14/