Literature cited
V. I. Lavrik and A. Ya. Bomba, “On an approximate method for solving convective mass transport problems in planar porous flow of underground water,” Dokl. Akad. Nauk Ukr. SSR, Ser. A, No. 5, 47–51 (1980).
V. I. Lavrik and P. A. Rudchenko, “Statement and solution of some boundary problems of convective diffusion,” in: Analytic, Numerical, and Similar Methods in Heat Conduction Problems [in Russian], Naukova Dumka, Kiev (1977).
M. I. Vishik and L. A. Lyusternik, “Regular degeneracy and boundary layer for linear differential equations with a small parameter,” Usp. Mat. Nauk,12, No. 5, 3–122 (1957).
V. A. Trenogin, “Development and application of Lyusternik-Vishik asymptotic method,” Usp. Mat. Nauk,25, No. 4, 121–156 (1970).
R. Courant, Partial Differential Equations, Wiley (1962).
V. F. Butuzov and A. V. Nesterov, “On a singularly perturbed problem of parabolic type,” in: Ninth International Conference on Nonlinear, Oscillations [in Russian], Institute of Mathematics of the Academy of Sciences of the Ukr. SSR, Kiev (1981).
Author information
Authors and Affiliations
Additional information
Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 34, No. 4, pp. 493–496, July–August, 1982.
Rights and permissions
About this article
Cite this article
Bomba, A.Y. Asymptotic method for approximately solving a mass transport problem for flow in a porous medium. Ukr Math J 34, 400–403 (1982). https://doi.org/10.1007/BF01091597
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01091597