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

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.


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