Geodesic
Asymptotics of the solution of non-stationary interface convection problem in thin layer of viscous liquid
Matematičeskoe modelirovanie, Tome 6 (1994) no. 5, pp. 92-104.

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The paper is concerned with non-stationary non-linear model problem of Marangony interface convection in thin plane layer of viscous non-compressible liquid. Asymptotic approximation of the solution with respect to a small parameter characterizing the thickness of the liquid layer is constructed. This paper continues the previous investigations where the stationary problem has been solved. 
@article{MM_1994_6_5_a7,
     author = {V. F. Butuzov and T. A. Urazgil'dina},
     title = {Asymptotics of the solution of non-stationary interface convection problem in thin layer of viscous liquid},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {92--104},
     publisher = {mathdoc},
     volume = {6},
     number = {5},
     year = {1994},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_1994_6_5_a7/}
}
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V. F. Butuzov; T. A. Urazgil'dina. Asymptotics of the solution of non-stationary interface convection problem in thin layer of viscous liquid. Matematičeskoe modelirovanie, Tome 6 (1994) no. 5, pp. 92-104. http://geodesic.mathdoc.fr/item/MM_1994_6_5_a7/