Equations of nonisothermal filtration in fast Processes in Elastic porous media = Уравнения неизотермической фильтрации быстропротекающих процессов в упругих пористых средах

Abstract

The problem of non-isothermal joint motion of an elastic porous body and a liquid filling the pores in the case when the duration of the physical process is fractions of a second. Based on the Nguetseng two-scale convergence method, a rigorous derivation of averaged equations (equations that do not contain rapidly oscillating coefficients) is proposed