Explicit solution of the mixed problem in an anisotropic half-space for the Barenblatt-Zheltov-Kochina equation

Umarov Kh. G.
Vladikavkaz Mathematical Journal 2013. Vol. 15. Issue 1.

Abstract:
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.

Keywords: filtering liquid, fissured rock, strongly continuous semi-group of operators

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