Document Zbl 1326.35288

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Umarov, Kh. G.

Explicit solution of the mixed problem in an anisotropic half-space for the Barenblatt-Zheltov-Kochina equation. (Russian. English summary) Zbl 1326.35288

Vladikavkaz. Mat. Zh. 15, No. 1, 51-64 (2013).

Summary: 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.

Cited in 1 Document

MSC:

35Q35	PDEs in connection with fluid mechanics
35A08	Fundamental solutions to PDEs
35C15	Integral representations of solutions to PDEs

Keywords:

filtering liquid; fissured rock; strongly continuous semi-group of operators

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