Spectral properties of operators in the problem on normal oscillations of a mixture of viscous compressible fluids
Journal: Contemporary Mathematics Fundamental Directions
Year: 2023

In this paper, we study a problem of normal oscillations of a homogeneous mixture of several viscous compressible fluids filling a bounded domain of three-dimensional space with an infinitely smooth boundary. Two boundary conditions are considered: the no-slip condition and the slip condition without shear stresses. It is proved that the essential spectrum of the problem in both cases is a finite set of segments located on the real axis. The discrete spectrum lies on the real axis, except perhap