Spectral analysis of linearized stationary equations of a compressible viscous fluid
M. A. Pribyl’ · Sbornik Mathematics · 2007
The spectrum of an operator on a torus described by linearized stationary equations of a compressible viscous fluid is considered. These equations are obtained by the linearization of non-linear equations of a compressible viscous fluid at an arbitrary solution depending on the x-variable. It is shown that the spectrum of the operator is a discrete point set, which lies in a sector of the complex plane that is symmetric relative to the real axis and has its vertex on the positive half-axis. Bibliography: 10 titles.