Affordable Access

Publisher Website

On the structure of generalized solutions of the one-dimensional equations of a polytropic viscous gas

Authors
Journal
Journal of Applied Mathematics and Mechanics
0021-8928
Publisher
Elsevier
Publication Date
Volume
48
Issue
6
Identifiers
DOI: 10.1016/0021-8928(84)90031-5

Abstract

Abstract A model system of equations that defines the unsteady one-dimensional flow of a visoucs gas is considered on the assumption that the pressure is determined by the adiabatic Poisson law. Generalized solutions are investigated in the class of discontinuous functions, a class of correctness is separated, and the structure of solutions of this class is clarified. It is shown that the initial velocity discontinuities are instantly smoothed out, and from the discontinuity points of the initial density,lines of contact discontinuity are formed. These lines exist for an infinite time, and the pressure jumps on them vanish exponentially.

There are no comments yet on this publication. Be the first to share your thoughts.