Journal of Applied Mathematics and Mechanics (about journal) Journal of Applied
Mathematics and Mechanics

Russian Academy of Sciences
 Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
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IssuesArchive of Issues2014-2pp.144-154

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Kh.G. Umarov, "An explicit form of the solution of the Cauchy problem for the Barenblatt-Zheltov-Kochina equation," J. Appl. Math. Mech. 78 (2), 144-154 (2014)
Year 2014 Volume 78 Issue 2 Pages 144-154
Title An explicit form of the solution of the Cauchy problem for the Barenblatt-Zheltov-Kochina equation
Author(s) Kh.G. Umarov (Groznyi, Russia, umarov50@mail.ru)
Abstract A solution of the Cauchy problem in an isotropic medium and in an anisotropic medium with clearly expressed vertical or horizontal permeability is constructed for the Barenblatt-Zheltov-Kochina model representation of the seepage of a fluid in fissured porous rock by reducing the seepage problems under consideration to solving an abstract Cauchy problem in a Banach space.
Received 04 April 2012
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