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

Kh. G. Umarov

Chechen State University, Russia, Groznyi

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.

Key words: filtering liquid, fissured rock, strongly continuous semi-group of operators.

UDC: 517.958+532.546+517.986.7

Received: 29.06.2011