Abstract:
This paper is devoted to the study of the Cauchy problem for a system of differential
equations describing the unsteady flow of a compressible fluid in a homogeneous and
inhomogeneous porous medium with a general nonlinear filtration law in threedimensional space. In the work using the methods of four-dimensional mathematics, a
special four-dimensional space was developed, as well as a functional space of regular
functions, and analytical conditions were obtained on the general form of the
nonlinear filtration law for which the Cauchy problem has a solution.
