Abstract
Single-valued solvability as a whole is established with respect to time for an initial boundary value problem with discontinuity data for the equations of the one-dimensional barotropic flow of a viscous polytropic gas, and the behaviour of the solution is investigated, when the time increases without limit. The line of contact discontinuity is simulated by the trajectory of a piston of small mass located between two gases. In particular, if the discontinuity separates one and the same gas, it is shown that the pressure discontinuity can only disappear in an infinite time, and the discontinuity decays exponentially.
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