Properties and asymptotic behavior of solutions of some problems of one- dimensional motion of a viscous barotropic gas
One of the most important directions of the qualitative theory of quasilinear equations of motion of a viscous compressible gas is the analysis of properties of solutions that are uniform with respect to \(t\) (for instance, the uniform boundedness of the density from above or from below, and others) and the behavior of solutions as \(t\to+ \infty\). The analysis is especially important when it is conducted ``in the large'' with respect to the data. Earlier the initial-boundary problems that describe the behavior of a fixed mass of gas which fills out a closed fixed volume were studied. Significant interest represent also other problems, in particular, when the volume filled out by a gas is changing. This paper is devoted to the analysis ``in the large'' of one of such problems.
scientific article; zbMATH DE number 797887
scientific article