Mathematics

Explicit solution of the mixed problem in anisotropic semispace with brightly expressed vertical permeability for Barenblatt–Zheltov–Kochina equation

Kh. G. Umarov

Dept. of Differential Equations, Chechen State University, Grozny, 364037, Russian Federation

Abstract: For Barenblatt–Zheltov–Kochina model presentation of filtering of liquids in fissured-porous rocks the explicit solution of the mixed problem in anisotropic semispace with brightly expressed vertical permeability is found by reduction of the considered problem of filtering to the solution of the abstract initial boundary-value problem in Banach space.

Keywords: filtering of liquids in fissured-porous rocks, strongly continuous semi-groups of operators.

UDC: 517.958:532.546

Received: 19.01.2012
Accepted: 19.01.2012