Математичне моделювання кінетики вирівнювання тиску газу в пористому шарі за малих збурень
The mathematical model of nonstationary gas filtration in porous plane layer under small perturbations of gas pressure is considered. We have obtained the linearized filtration equation with the coefficients depending on the parameters of the porous medium, the thermodynamic characteristics of gas and the value of unperturbed pressure in the layer. A problem of kinetics of equalization of pressure in the layer in the case of small local perturbations was formulated. Using the Green function, we have obtained an analytical solution of the problem.