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Spectral Properties of Operators in the Problem on Normal Oscillations of a Mixture of Viscous Compressible Fluids.
- Source :
-
Journal of Mathematical Sciences . Aug2024, Vol. 283 Issue 2, p231-254. 24p. - Publication Year :
- 2024
-
Abstract
- 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 perhaps for a finite number of complex conjugate eigenvalues. The spectrum of the problem contains a subsequence of eigenvalues with a limit point at infinity and a power-law asymptotic distribution. [ABSTRACT FROM AUTHOR]
- Subjects :
- *ASYMPTOTIC distribution
*SHEARING force
*EIGENVALUES
*OSCILLATIONS
*FLUIDS
Subjects
Details
- Language :
- English
- ISSN :
- 10723374
- Volume :
- 283
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Sciences
- Publication Type :
- Academic Journal
- Accession number :
- 178775423
- Full Text :
- https://doi.org/10.1007/s10958-024-07252-4