Explicit solution of the mixed problem in an anisotropic half-space for the Barenblatt--Zheltov--Kochina equation
Vladikavkazskij matematičeskij žurnal, Tome 15 (2013) no. 1, pp. 51-64
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For the Barenblatt–Zheltov–Kochina model of filtering liquids in fissured rocks an explicit solution of the mixed problem in anisotropic half-space with pronounced horizontal permeability is found by reduction to some abstract mixed problem in Banach space.
@article{VMJ_2013_15_1_a6,
author = {Kh. G. Umarov},
title = {Explicit solution of the mixed problem in an anisotropic half-space for the {Barenblatt--Zheltov--Kochina} equation},
journal = {Vladikavkazskij matemati\v{c}eskij \v{z}urnal},
pages = {51--64},
publisher = {mathdoc},
volume = {15},
number = {1},
year = {2013},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMJ_2013_15_1_a6/}
}
TY - JOUR AU - Kh. G. Umarov TI - Explicit solution of the mixed problem in an anisotropic half-space for the Barenblatt--Zheltov--Kochina equation JO - Vladikavkazskij matematičeskij žurnal PY - 2013 SP - 51 EP - 64 VL - 15 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VMJ_2013_15_1_a6/ LA - ru ID - VMJ_2013_15_1_a6 ER -
%0 Journal Article %A Kh. G. Umarov %T Explicit solution of the mixed problem in an anisotropic half-space for the Barenblatt--Zheltov--Kochina equation %J Vladikavkazskij matematičeskij žurnal %D 2013 %P 51-64 %V 15 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/VMJ_2013_15_1_a6/ %G ru %F VMJ_2013_15_1_a6
Kh. G. Umarov. Explicit solution of the mixed problem in an anisotropic half-space for the Barenblatt--Zheltov--Kochina equation. Vladikavkazskij matematičeskij žurnal, Tome 15 (2013) no. 1, pp. 51-64. http://geodesic.mathdoc.fr/item/VMJ_2013_15_1_a6/