Quasi-averaging of the system of equations of one-dimensional motion of a viscous heat-conducting gas with rapidly oscillating data (Q1571206)

The paper examines initial-boundary value problems for quasilinear equations of one-dimensional flow of an inhomogeneous viscous heat-conducting gas with nonsmooth rapidly oscillating data. The limit passage to the initial-boundary value problems for the system of quasi-averaged integro-differential equations of motion is rigorously proved. This is done ''on the whole'' with respect to time and without any assumptions about the smallness of the data.