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Victoria B. Bekezhanova∗ Institute of Computational Modeling SB RAS Academgorodok, 50/44, Krasnoyarsk, 660036 Institute of Mathematics and Computer Science Siberian Federal University Svobodny, 79, Krasnoyarsk, 660041 Russia Olga N.Goncharova† Institute of Thermophysics SB RAS Lavrentieva, 1, Novosibirsk, 630090 Altai State University Lenina, 61, Barnaul, 656049 Russia Ilia A. Shefer‡ Institute of Mathematics and Computer Science Siberian Federal University Svobodny, 79, Krasnoyarsk, 660041 Russia

Analysis of an Exact Solution of Problem of the Evaporative Convection (Review). Part I. Plane Case